How to Integrate Using U-Substitution (NancyPi)

Published on August 25, 2018 by

MIT grad shows how to do integration using u-substitution (Calculus). To skip ahead: 1) for a BASIC example where your du gives you exactly the expression you need in order to substitute, skip to time 1:30. 2) For an example where you have to REARRANGE THE DU by multiplying or dividing because the du has a different number or sign than what you need, skip to time 8:21. 3) For one where you have to REARRANGE THE U by subtracting or adding because the du expression cannot give you the expression you need, skip to 17:15. 4) For u-substitution with TRIG (SIN/COS) and the power rule, skip to 22:35. Nancy formerly of MathBFF explains the steps.

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For my video on the BASICS of INTEGRATION, jump to:

With all u-substitution integration problems:

The FIRST STEP is to pick your "u". The best choice is usually the longer x-expression that is inside a power or a square root or the denominator, etc (in an "inside function"). Set u equal to this x-expression.

The SECOND STEP is to find "du" by taking the derivative of the u expression with respect to x. For instance, if you have u=3x+2, your du would then be du=3dx. **NOTE: Remember to include "dx" at the end of your du differential expression.

The THIRD STEP is to substitute u and du into the integral everywhere in place of x and dx. **NOTE: if your du does not perfectly match what you need in order to completely substitute before integrating, you must rearrange the du, or sometimes rearrange the u, in order to fully substitute before integrating. For an example of each, see example #2 (time: 8:21) and example #3 (time: 17:15).

The FOURTH STEP is to integrate, remembering to add "+ C" at the end since you integrated an indefinite integral (no limits). The du goes away when you integrate.

The LAST STEP is to "back-substitute" by replacing everywhere u appears with the x-expression that you chose u to be.

For more of my math videos, check out:

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  • Neural 88 4 years ago

    No jokes from now on. IT’S STUDY TIME

  • daniel 4 years ago

    yes. integraaaaaaaaaaals

  • Tushar Mehta 4 years ago

    Awesome as always

  • Stanley Miranda 4 years ago

    Hek yeaaa this is what I exactly what I needed to refresh for my calc 2 .. NANCY YOU ARE AWESOME… THANX BUT IF IT’S NOT TO MUCH TO ASK CAN YOU PUT VIDEOS ON CYLINDRICAL SHELLS ROTAITNG ABOUT X AXIS

    • KaiLi 4 years ago

      Stanley Miranda ikr she is😍🙏

    • Carlton Davis 4 years ago

      I hated that so much. It’s the reason I don’t tutor calc 2.

    • Rohit Mistry 4 years ago

      That stuff along with the optimization and related rates made me regret taking calculus

    • Manuel Powers 4 years ago

      Just Google Shell Method

    • juliet mutheu 4 years ago

      Thank you

  • haji alhaeri 4 years ago

    good luck

  • Akhilesh Kumbhar 4 years ago

    17th like!

  • amty 4 years ago

    can i substitute u for my professor

    • Alexa Manite 3 years ago


    • MythicalCat 12 3 years ago

      Got em

    • Kenneth Joseph 3 years ago

      😂😂😂😂bad man

    • Ankit Hembrom 2 years ago

      @amty You took this integration lesson too far…😂😂😂.

  • Arnav Upadhyay 4 years ago

    I can’t focus enough !!! Damm…

  • Amit Majoka 4 years ago

    I love you

  • Abel Lopez 4 years ago

    keep it up. 🙂

  • KaiLi 4 years ago

    Yasss Its time get lit🔥🔥😩😝 perfect timing learned this week🙈🙈

  • Michael Zacharie 4 years ago

    Next Video Suggestion: Calc 3 – Scalar Multiples (Vectors) and Parallel Vectors

    • San Samman 4 years ago

      yes please!

    • Sweetg Cooking 4 years ago

      Yes please

  • Francisco Juan 4 years ago

    Calc 2 topics awesome

  • Abdullah Sajid 4 years ago

    ❤️ u nancy

  • Mr Ch33seHed 4 years ago

    That was seriously satisfying! A phrase i never thought I’d utter 🙂👍

  • Mohammed Rabee 4 years ago


  • Shahriar Mim 4 years ago

    Nancy can you please make videos on CS Algorithms ?

    • NiHaoMike 4 years ago

      Algorithms for what?

    • Shahriar Mim 4 years ago

      +NiHaoMike which are more popular and most of students want like, Algorithms for CS !

  • Levi 4 years ago

    Can u do scalar multiples, vectors

  • Ahmed Mzhr 4 years ago

    Thanks for posting a video about integral
    Cn you post more videos on integration I love integration

  • Xavier Rodriguez 4 years ago

    YES…….Nancy I am one step closer to winning a Nobel prize >:) Thank you

    • IMFletch2079 4 years ago

      Xavier Rodriguez v

  • Benjy Molina 4 years ago

    omg i have a quiz on this on monday thanks nancy!!

    • pendragon 4 years ago

      how did the quiz go?

    • Benjy Molina 4 years ago

      i guess it went well but my teacher lost my quiz and gave me a 0

    • pendragon 4 years ago

      that sucks

    • Rebel Friend 4 years ago

      Benjy Molina lol wtf

  • jakethesnake979 4 years ago

    Wife material. Marry me?

  • Christian Salon 4 years ago

    Pls discuss about hyperbolic functions😅. Thanks 😊😊

  • Johnny Huerta 4 years ago

    This is amazing!! May I recommend more from Cal2? Thanks for the videos!

  • yupitskari 4 years ago

    You are intergreat

    • Math and Logic 4 years ago

      I plus C what you did there.

    • Anette Svea Åsgård 4 years ago

      Oh for the love of God, *STOP!*

    • Bestlogic Ever 4 years ago

      Karina De Leon corny

    • AT Shiva 2 years ago

      @Anette Svea Åsgård god has no place here

  • AnimePianoAngel 4 years ago

    Can you also make a video on integration by parts?

  • AnimePianoAngel 4 years ago

    Thanks a lot!

  • Noob Noob 4 years ago

    Will we ever move onto multi variable calc? That’s where I got a D and lost my confidence in math.

  • World's Greatest Swordsman 4 years ago

    can you upload some videos on calc 3 topics?

  • KaiLi 4 years ago

    Topic : Integration by parts

  • Bawar Hassan 4 years ago

    Its great .love u

  • San Samman 4 years ago

    Nancy, the problem with these videos is that they are too easy, we are the “loyal subscribers”, therefore (because we are loyal) we have seen all your videos from *Mathbff* which is why you need to start doing more advanced topics. i love you, by the way, you helped me super much! :3

  • Chaminda Silva 4 years ago

    Thanks for teaching me integration using u-substitution ..

  • Eric Lovejoy 4 years ago

    can you show how to take the first derivative in binary? on IDK, an 8bit integer function.

  • Rohit Mistry 4 years ago

    Can you make an AP Calculus BC Cram video before the AP Exams?!?!? That would help so much…my teacher for AB was not the best at explaining this kind of stuff and I was lost the entire year

  • Etascope 4 years ago

    Simply amazing!☆☆☆☆☆

  • PRSer 4 years ago

    Why was this on my recommend videos? I barely got past grade school math hahaha

  • Muhammad Ishfaq 4 years ago

    awesome method , you explain very little points even , and a wonderful face expression…Allah bless you and more success…

    • Anan 7B6 4 years ago

      Math is supposed to be highest order of understanding with ‘reason’ but you still bring the stupid religion into this. You should be smart enough to understand that the religion is created by people just a few centuries ago. I hope you become very rationalistic and modern. Any idiot is qualified to speak about religion. But not every idiot can do complicated math. Elevate yourself above idiots.

    • Anan 7B6 4 years ago

      If you were to build an Aeroplane based on your logic it will never take off the ground. You should have that sense if you have the capability to do math. Yes math is a language but unlike most languages you can only speak it if you build knowledge like a Pyramid. Unlike Religion where you can keep blowing from your arse like you did above. STOP. JUST STOP thinking with your religious head. Show nature that you are not stupid brainwashed idiot whose predispositions are preventing from elevating to a higher level. Show that you CAN.

  • Solid Chrome 4 years ago

    When she explains something complex, suddenly it becomes simple. Teachers around the world need to take this girl as an example.
    Please keep up the amazing work! You got my support until the end!

    • Giorgio Angelo Runtuwene 4 years ago

      Solid Chrome i

  • PhlyingTurtle 4 years ago

    Thanks to you and your old channel, I passed Calculus 2 so I don’t really need to watch this video anymore. But I still wanted to give you the recognition, views, and likes that you deserve! Please keep the videos up. You are helping so many of us struggling students!

  • patrick granier 4 years ago

    Hello Nancy, je suis un français qui regarde vos videos. Do you speak french?

  • marquite harris 4 years ago

    Hi, I was wondering if you offer tutoring? Does anyone know if she offers tutoring

  • Joh18nny Cyrus 4 years ago

    Could u make video on how to integrate by parts? Please

  • Lyd Joy 4 years ago

    literally helped me more than my calc professor…

  • Brandon De La Rosa 4 years ago

    Can you do Integration by parts?

  • Cristina Butler 4 years ago

    you should bill GSU for my tuition!

  • Tanguy Razafindragolo 4 years ago

    I’m paying $2k for my Calc 2 class. Attended 2 class of 4 hours and thought I would drop the class. Now I’m watching this video and I feel like I can tackle calc 2! Thank you, you’ve helped me since pre-calc

  • Lisa Cobb 4 years ago

    Hey Nancy, if you could cover some topics from Calc 2 I think a lot of us would appreciate it. Seems to be a bit more strenuous and less intuitive than calc 1. The way you explain these theorems in a simple manner and at a rate that isn’t too fast nor too slow really helps you standout among all the other “math wizards” on YouTube (It’s also a breath of fresh air to be taught by an extremely attractive female instead of my grumpy ass professor, so thanks.)

  • Awais Fenrir 4 years ago

    11:46 baby like kawaii *-*

  • Dany Lopez 4 years ago

    Nancy can you make a integration by parts?? I am struggling and my professor does not explain it to where I can understand

  • Ryan Belcher 4 years ago

    She breaks it down for us simple folk. Better than my professors.

  • RYO 4 years ago

    Thanks it helped a lot…

  • Kanivakil 4 years ago

    Who are you married to or dating; lucky guy. Beautiful and smart; however, I heard statistically smart girls tend to be single…

  • Joshua Vásquez 4 years ago

    Hands down best instructor ever. Also very attractive. Thank you Nancy.

  • Wilson Molina 4 years ago

    Oh thanks so much!, this part (18:43) is what drove me crazy for about 1 week, the professor didn´t really explained the way it was supposed to be. I was assuming the “du” was always written as “(du/###)=dx.” I can certainly tell, I consider you the English version of “Julioprofe” ( he is well known as a great math teacher among spanish speakers). Thanks again!

  • Martina Mustermann 4 years ago

    great video! i was looking for excatly this example!

  • Papi Kar 4 years ago

    How do u write opposite

  • A1CakeMoss 4 years ago

    thank you so much this really helped me

  • Bhamilton0347 4 years ago

    I’m extremely impressed with your ability to write everything in a mirror image perfectly

    • 愛B ē k o n d i k k u 3 years ago

      she’s writing directly on a giant camera lens

    • Stardust Lordfinery 3 years ago

      @Robert Johnson fuc

    • Samuel Nixon 3 years ago

      Fr tho, she has to be using software or something, what is this sorcery??!!?

    • Blue Legacy 3 years ago

      Samuel Nixon look up light board

    • Soumyashree Biswal 3 years ago

      You’re gullible, buddy

  • Samuel Ondieki 4 years ago

    Best one

  • kawowine 4 years ago

    I love you
    So much
    I was so lost (in calc)
    And now I am found

  • Minju Lee 4 years ago

    Thank you

  • Sultanat 4 years ago

    Done. I like your video, and I subscribed. 10Q

  • Edward Kranjah 4 years ago

    Please make a video on how to calculate double and triple integrals… my prof is too fast…

  • SuperShana97 4 years ago

    I’m rewatching your video many times so that I can understand the materials and be ready for my exam. 🙂

  • mlozano818 4 years ago

    U-Stole My Heart

  • Mark Sovau 4 years ago

    Thanks……you are a lifesaver

  • Rishav Leonidas 4 years ago

    the legacy continues

  • rey arjune 4 years ago

    You’re so hot. I can hardly concentrate when you’re lecturing

  • mystery man 4 years ago

    Is this ASMR

    • Stefany Sanchez 4 years ago

      Aaron Burke 😂 you know it

  • Dban1 4 years ago

    how do u write on the screen backwards

    • K Grace 4 years ago

      she probably just flipped the footage (using an editing program) before posting

    • Elijah 4 years ago

      Kath Salise No she’s actually writing backwards you can tell by the way her hand is moving

  • ian asige 4 years ago

    Beauty with brains  .your beauty makes me understand calclus better

  • kevin geni 4 years ago

    Definitely worth my time.

  • E LEARNING & Cooking 4 years ago

    Very useful.
    I subscribe yours channel, I hope you will do the same.

  • Tori Yeyo 4 years ago

    This helped alot thanks🙂

  • Kevin A. 4 years ago

    I’m confused

  • Anette Svea Åsgård 4 years ago

    Thank you so much Nancy, you are a godsend!
    Saving us all from the terrible math professors who rely on the fact that they have tenure and don’t give a shit anymore.

  • Naweed Babakarkhail 4 years ago

    for the first one why does du simply go away shouldn’t you have to integrate that as well?

    • PhoenixUp. 4 years ago

      Nope , it just goes away

  • C'phow Ndlovu 4 years ago

    5 hours before my paper, I was clueless… 4 hours before my paper and I’m already quite confident… Thank you sooooo much…

  • Syeda Fatema Rahman 4 years ago


  • Stanley Agina 4 years ago

    Low voice on dis video

  • Tud 4 years ago

    A blessing 🙏🏼 I have a gateway exam on Friday

  • Mbulelo Madiya 4 years ago

    you just made it clear, thank you so much

  • Patrick C. 4 years ago

    Hi Nancy, @18:50, why don’t u use the derivative to correct it like example 2?

    • Vily Rose 4 years ago

      Patrick Caspers I’m not Nancy, but it would simply not be helpful to get du/x = dx/x because then you’d be stuck with an x, which you do not want because you only want to work with u du. The point of this technique is to find a way to get rid of all x’s and have u’s instead. Hopes this makes sense 🙂

    • Patrick C. 4 years ago

      @Vily Rose thank you very much! I was wondering why because the rest of the sum seems to be the same

  • Olga Berlat 4 years ago

    I love this woman!

  • DanTheMan 92 4 years ago

    Hello, for the first example: 3x^2(x^3+5), can’t i just multiply out the brackets to 3x^5+15x^2? Why is the solution then different?

    • Aurian Maleki 4 years ago

      DanTheMan 92 The original problem was 3x^2(x^3+5)^7. If you foil (x^3+5) seven times THEN distribute 3x^2, you should get the same answer.

  • Zahid Frq 4 years ago

    i love the way you teach……..

  • biggbeanz 4 years ago

    Wait how is she writing like that? .o.

    • Zeeshan Zaffar 4 years ago

      Girl Glam
      You are innocent as a bunny 🐰

  • Rob Thorn 4 years ago

    Excellent videos but light colors have low contrast and can be hard to see.

  • Fredrick Zoller 4 years ago

    great video!

  • Hamed Salem 4 years ago

    Thank u very much, i benefited a lot

  • Mugisha Fidele 4 years ago

    what is the easy ways to do that ?

  • Seattle Tgrind 4 years ago

    Love you!

  • oneirigiri 4 years ago

    Her attitude in teaching is probs my spirit animal. It’s like you’re so done, but keeping it together. ;A; Lezgo

  • Alanood Alghafri 4 years ago


  • alexander Velasquez 4 years ago

    i wish she was my teacher.then ill pay attention more 🙂

  • Dharani Jena 4 years ago

    Thank you mam

  • Jerome Garganera 4 years ago

    Potangna sino BSCE na nandito hahahaha kaway kaway mga tol papasa tayo.

  • john Mitchell 4 years ago

    All hail the calculus queen!!!

  • Janco Le Roux 4 years ago

    Stoked you are back Nancy!! Thank you!

  • Nando L. 4 years ago

    Ur hot

    • Rebel Friend 4 years ago

      peak YouTube commenting right here

    • Samira Tamma 4 years ago

      and you’re not. how about we dont judge based on how she looks? Oh! I love that idea! don’t you?

    • osos 4 years ago

      @Samira Tamma chill out

    • jojibot 4 years ago

      Samira Tamma This is why people hate feminist shits smh

  • Doflamingo Schwifty 4 years ago

    Eeek u teach real nice but my eyes and head hurts seeing you write in that manner lol (i know it’s some kinda of a board that flips in mirror image or some shit +_+) smh

  • Huzai Ujee 4 years ago

    Thankssss fot this videoooooooo

  • Derek Garza 4 years ago

    I’m so glad you were able to get your original MathBff videos onto your new channel. NanciPi > MathBff

  • Nuha Aqilah 4 years ago

    thanks a lot❤️ now i can do it on my own😭

  • Mio_4th 4 years ago

    Thank you very much Ma’am Nancy. You’re so beautiful, I LOVE YOU <3 THE BEST CALCULUS TEACHER!!! EVER!!!

  • Sherry Liu 4 years ago

    Thanks Nancy, you’re a lifesaver! My midterm is this afternoon and I still couldn’t manage to do this until I found your video 🙂

  • Hernan Cruz 4 years ago

    Yo your voice makes me fall asleep. Thanks for the lesson tho

  • Andrew19 4 years ago

    thank you very much

  • Safayat Zahir Tusar 4 years ago

    wowsome. I didn’t see such kind of vedio ever never… teaching capability : 100%

  • M N 4 years ago

    Nancy, I love you, thank you so much. Nobody has explained me as well as you do about how to choose my u expression and what du was. I’ve used your four models in this video to do my homework with similar exercises. Thank you, now I better understand my book.

  • Thalia Martinez 4 years ago

    I love you ❤️ thank you for being so great

  • THE HUMAN'S EXPLORER 4 years ago

    I luv u so much….will you marry me

  • Edward Mupenda 4 years ago

    I have my national exam of MATHS tomorrow and this really helped !!! youre the best!

  • EscobarSniperboi 4 years ago

    you single? you got a mans? i got more questions than just math

  • Robert Place 4 years ago

    ‘If you dont remember how to do that… click off this video right now’

  • Oswina 4 years ago

    Well, I don’t have any good videos in french so I had to come here… and I have absolutely 0 regrets, thank u so much

  • Abdiaziz abdishakir 4 years ago

    Ooooh soo nice of u
    Thanks .
    I like ur videos u make math so simple

  • the Jiminator 4 years ago

    U goddess!

  • Name 4 years ago


  • mehmet2247 4 years ago

    Cleanest explanation i have ever seen, thumbs up

  • Chinggis Han 4 years ago

    I just noticed how in her point of view she writes all the equations backwards like as if its nothing…..

  • Jemima Anim 4 years ago

    you are awesome nancy

  • ajay murti 4 years ago

    can you give me integration formula

  • King DeeDeeDee 4 years ago

    She’s writing backwards…. AMAZING.

  • Liu Ge 4 years ago

    how do you write inverse????????? magical

  • white_oak 4 years ago

    Underrated. This lady deserves everything. Thank you I fell like ive never understood this before and you make it so easy

  • Astrobadgr 4 years ago

    This vid taught me so much better than my prof could. He just does the math while we watch without explaining it. So I leave class everyday without a clue of what I just witnessed.

  • C F 4 years ago

    plz be my wife. I need a lot of help with my homework.

  • Kirnvir Kaur 4 years ago

    THANK YOUUU!!!!!!

  • Mark Landau 4 years ago

    precisely what i needed today. you rule!!

  • BLITZ Panzer101 4 years ago

    Question: how do you write on that. Is that a clear board and if so did you learn to write backwards or something? Im sorry does anyone else have this question too. Like it bothers me just cuz. I know Im weird.

    • Steve Garra 4 years ago

      I think that she just writes normally on the clear board, but then in video editing just mirrors the image so it appears forward for us and not backwards.

  • Nabeel Khan 4 years ago

    Can I take trig functions as u if not then y??

  • Asher Reid 4 years ago

    Watching this video really took the work out of studying

  • Könty Deng 4 years ago

    She is smart beautiful and calm I like her so much

  • Ashwin Sharma 4 years ago

    intelligent girl r dope

  • Quentin Minor 4 years ago

    Once again you’re saving my life in Calc 1 right now Nancy

    Bless this channel

  • Jordan Schiltz 4 years ago

    why do i feel like shes trying to seduce me at the same time she’s trying to teach me?

  • KryoZeric 4 years ago

    Miss Nancy 3.14 you’re a QT 3.14

  • Dauntless Boy 4 years ago

    Awesome girl. luvu nd your skill ..

  • Elijah 4 years ago

    Is she high

  • blinkzy boi 4 years ago

    you are an amazing teacher. saved my life…

  • solomon fekade 4 years ago


  • Ron M 4 years ago

    You rock! I got more out of this video than I have in the last two weeks of class.

  • Dominic Cirineo 4 years ago

    Lol, you are so intelligent and beautiful, I wish I could integrate you into my life, haha.

    • Most Hunted 1 4 years ago


  • Caleb Frank 4 years ago

    “it’s OK you don’t like MAth, nut you can like my video “, I died ….Only if YouTube has love as well, I’ll give them all to ya ma’am

  • blurry vision 1 4 years ago

    literally come here when my maths teacher talks nonsense

  • Marie B 4 years ago

    Does she have anywhere where we can donate to her for providing these wonderful videos? Made this so easy to understand and was way more helpful than my professor. Thanks so much for making such quality videos and going step-by-step. It makes those of us who are taking classes a decade after we finished high school much easier to understand! If you have anywhere I can donate to you for your time/help I would love to know!

    • Dank Boi Kae 3 years ago

      was hoping for a different kind of donation account

    • Marie B 3 years ago

      @raptorgod77 of course. Monthly subscription to Patreon while I was taking calculus. Got an A in the class with a ton of help from this channel.

    • raptorgod77 3 years ago

      Marie B what comes with paetrom

    • BASEsick TRUTH 3 years ago

      @raptorgod77 Supporting one of the most gorgeous humans ever born…now give her some money

    • Sowmith Reddy 2 years ago

      Is she writing the whole thing backwards?

  • Reese Johnson 4 years ago

    you cant have a du in the numerator of a fraction, its strictly a subscript.

  • SD Hadoken 4 years ago

    thanks NacyPi Sensei I wish you were my professor

  • brownpolyestershirt 4 years ago

    Bless your soul. I was beyond frustrated and nearly in tears. It was something simple I was missing, and I found what it was in your second example. Many, many thanks.

  • ilqar Flaqmanli 4 years ago

    A am from azerbaycan;very beautiful

  • Tony Benny 4 years ago

    Plz show us how to do this with sin cos and tan

  • Brielle King 4 years ago

    This is literally the most painful video to watch.

  • Kingsley chong 4 years ago

    you’re hot, i can’t focus

  • HoboTraderXAU 4 years ago

    This is the best explanation on how to use u-substitution – always struggled with this one…

  • Suhail AD 4 years ago

    I know the math already and yet, here I am

  • Seyi Folorunso 4 years ago

    13:51 to 13:55, that switch up tho lmao. Thank you for this!!! Videos like this are timeless

  • Dragomir Andrei 4 years ago

    Do you write up side down?

  • Favour N 4 years ago

    Pretty sure I just aced my calc quiz because of this video. Wish you had a video for every chapter in the book lol

  • Fergawesome 4 years ago

    marry me

  • Accipiter 4 years ago

    I had (4x+1)power to 7. Like got answer close but not like as in video,

    • Accipiter 4 years ago

      I figured it out. Great explanation in video. ! !!!

  • chinmay deshmukh 4 years ago

    cant we solve the last question as tanxsec^2x dx????

  • Greg Horrobin 4 years ago

    I love how in a calculus video she is having to explain why -0.5 + 1 = 0.5 XD

  • Jodok Felder 4 years ago

    Really good Video!
    Thanks for being so thorough! (:

  • JC Avenilla 4 years ago

    Can you integrate me? 🤣

  • bicboi46 4 years ago

    “Are the videos from the 2006 really helping???, yes YouTube advertisment it is, now leave me alone jesus.

    • TheDreamerBelle 3 years ago


    • addledhead 3 years ago

      This is definitely useful, but to be fair, everything I’ve seen from NancyPi is both more recent and far higher quality than anything you could find on Youtube 13 years ago.

    • Damie O 3 years ago

      the name JESUS, is not curse word or just a random sentence filler, it is the name of utmost power and efficiency. Don’t abuse, misuse or take it in vain. Seriously, not funny!

    • Sasha Ryu 3 years ago

      OMG SAMEEE hahaha

    • LoadedAntarctican 2 years ago

      Dude, its a year later and I’m still getting the same ad lol

  • Song Music 4 years ago

    Thank you teacher

  • Chubby Gang 4 years ago

    Where did the 3x^2 and dx go in the first problem? Why does it disappear just because we substituted?

    • Rex Evan 4 years ago


      3x^2 dx = du

  • James A. 4 years ago

    Thank you, holy shit you are great at teaching

  • Captain Tim Curry 4 years ago

    You’re never allowed to go away, Nancy! I swear, I can struggle with a calculus concept for hours, but watch just one of your videos and suddenly everything is crystal clear! You make it so easy and I love your teaching style! Thank you!

  • Samuel Clarke 4 years ago

    Worked these examples along with my problem set. Made it very clear thanks alot.

  • Tarik Hacialiogullari 4 years ago

    Sagolasin baci

  • john byrne 4 years ago

    Would totally substitute U for my X.

    • CLASHING CARL 3 years ago


    • Robert Baratheon 3 years ago

      @sillygoober8099 me too smh

    • MythicalCat 12 3 years ago

      Simp alert

    • Kenneth Joseph 3 years ago


  • Elias Kidane 4 years ago

    I was thought calculus about 30 years was a mystery up to makes it so easy that I understand lt.pls let me donate for your time..
    Many thanks for your generous knowledge .Elias Kidane .

  • John Rio de los Reyes 4 years ago

    I feel like she’s holding her breath😅

  • Ali Toor 4 years ago

    2 days before the exams. Lets get this bread

  • Eduardo Ribeiro 4 years ago

    In the last exercise, why didn’t she replace dx with -du/sin(x)?
    It’s what has been bothering me the most, sometimes it looks like you’re not supposed to replace dx

  • Ail Apps 4 years ago

    Holle how are you

  • Ail Apps 4 years ago

    I want to get afull mark in the maths

  • Dale Kriens 4 years ago

    you are perfect in your explanations.. Seriously! Plus could you please do gps explanations.. 🙂

  • Mark Walmsley 4 years ago

    Hi. Watched a few of your videos as I’m currently doing an OU course in UK. They are fantastic – so easy to follow and much better than any other sources. Thanked you by starting a Patreon contribution. Keep up the excellent work please 😀

  • Amber Tan 4 years ago

    for 2nd question shouldnt 4 be taken out instead of 1/4 ?

  • Sam10947 4 years ago

    what else can you show other than the easy stuff

  • maricon junio 4 years ago

    It is in deed helpful. Thanks a lot

  • Hamisi Isaac 4 years ago

    Isn’t this amazing .thanks.

  • McQUEEN 4 years ago

    How to do anti derivative of x+3/x-3 by u substitution?

  • Mario Vazquez 4 years ago

    6:27 you´re a little kitty

  • Imtesum Rahman 4 years ago

    Your teaching is very smooth..and u r also very beautiful

  • Mihretu kebede 4 years ago


  • Imran Siddiqui 4 years ago

    Give me your no. I will call you on whatsapp.. I like you …

  • Space Ninja 4 years ago

    Are you planning on making more videos? There’s a new girl on mathbff. I couldn’t figure out why you were harder to listen to now….and then I realized that wasn’t you….ma bad. Lmao

  • Zane Blood 4 years ago

    @NancyPi – Could you explain why in the indefinite integral of f(x)dx, the function and dx are being multiplied by each other?

    • Nellvin Cervantes 4 years ago

      dx is the infinestimal amount of anything like length when you are looking for an area like parabola. Then for finding area, you need to sum up all the product of height f(x), and dx’s or in other words, integrate them. dA = f(x)dx. dA means infinitestimal area. f(x) = height of thr strip and dx be the width of the strip. Assume it is rectangular strip so back to geometry, A = hw

    • Nellvin Cervantes 4 years ago

      Thats for definite integral by the way

    • Nellvin Cervantes 4 years ago

      In indefinite integral, theres an arbitrary constant C shown in the video. You can find its value depending on the conditions given on the problem. You can use this in physics like kinematic equations.

  • Rina Banu 4 years ago

    btw thanx for video and i got how she is writing like that ! at first she writee like we write and using editor she flips the video horizontally😊 or may be she is writing this backwards🤤😱

  • Geetha Kochukunju 4 years ago

    Yo how tf she writing backwards

  • adnan asghar 4 years ago

    learning and loving at the same teacher….

  • Kalayou Abadi 4 years ago


  • Asmat safii 4 years ago

    I like you Nancy so much

  • Asmat safii 4 years ago

    You are so beautiful

  • Ghufran Khan 4 years ago

    Hii mam…nancypi

  • Ghufran Khan 4 years ago

    Complete pack..

  • Ablante Yigzaw 4 years ago

    I love the content, but god damn. The endings are so cringy.

  • Alex Voxel 4 years ago

    I wouldn’t substitute u as a teacher

    Ok, now i’ll study, no more jokes from now on

  • Abdullah Imran 4 years ago

    thanku so much you helped me in understanding this concept…

  • Jeremy Glasco 4 years ago

    Is this calculus or algebra II?

    • ӉѦѶѺС ssbfandom 4 years ago


  • BASEsick TRUTH 4 years ago

    You are gorgeous

  • Buhayraa Shah 4 years ago

    Funny how no one on youtube was watching ur vid when it first was uploaded everyone was watching the ksi vs logan paul fight

  • Faiz Shabo 4 years ago

    Nancy integral = Smart , Nancy derivative = Beautiful !!

  • Shahd Almuh 4 years ago

    Thank u so much !! I wish u all the best 😂🇸🇦

  • MotoLicks 4 years ago

    she’s hot😍😍

  • jack liao 4 years ago

    i love you nancy

  • Hieuby_Dooby 4 years ago

    thanks alot, this was extremely helpful!

  • 070 4 years ago

    she got ig tho?

  • University Of Everyone 4 years ago

    From Pakistan great love for your hard work

  • Al Telephono 4 years ago

    You’re doing calculus backwards and ur really sexy. What planet are you from again😂?

  • Alan Whitehead 4 years ago

    Wow just changed my life

  • Abigail C. 4 years ago

    “What happens when you have a trig function?” Well, I simply cry. However, this video was beneficial.

  • faisal alwadi 4 years ago

    Can u increase ur speed in talk and we are steadying calculus plz don’t bother yourself and calculate 1/2+1 you are the best thank u ❤️❤️❤️❤️

    • Abby Denison 4 years ago

      I watch it with the playback speed at 1.25% to make it faster 🙂

  • 재남 4 years ago

    Playback speed 1.25x

  • Kent Tyrer 4 years ago

    Great review. I might actually pass my quiz tomorrow.

  • Aisyah Farah 4 years ago

    I wouldn’t have gotten through high school without you, now i’m in university and you’re still my lifesaver 🙂

  • daien medea 4 years ago

    6:37 where did the 8 come from

    • vangrails 4 years ago

      Differentiate U^8 / 8 and that will give you U^7. Integrating is the reverse of differentiating.

  • Atheists Anonymous 4 years ago

    Blink twice if they’re holding you hostage.

    • hunter19884 3 years ago

      Spray some pepper if they are causing you lust. – The Holy Fuck1ng Bible.

    • Valentin A. 3 years ago

      @Bob Pickleson I am sure writing mirrored on a glass is not satisfying.

    • Navjot Singh 3 years ago

      They are holding her hostage, on the other side they have a gun to her and the only way she can stay alive is by doing calculus.

    • Jared Burgon 3 years ago

      @Valentin A. she actually writes normal to her perspective, then they flip the video when editing. you can tell because her expo marker letters are mirrored

    • Chris Smith 2 years ago

      I thought this comment was kpop stuff etc

  • TheSpykeeper 4 years ago

    I like how she looks at the camera and smiles at us when she finds the solution.

  • john holme 4 years ago

    Thanks to the quality of your teaching, my physics calculations have become effortless. Keep up the good work.

  • BROSINARMS 14 4 years ago

    This helped me sooooo much thank you for making this video I missed the class on this and I couldnt get the notes to do the homework but this video really helped me understand this topic thanks.

  • Ethan 4 years ago


  • beckyq 4 years ago

    Loving how the video description has the links to different types of problems. SO HELPFUL!

  • Benjamin Munyao 4 years ago

    Well explained

  • Rocky Avg 4 years ago

    Man, Calc makes me suicidal

  • واعي wa3i 4 years ago


  • MATHSOLVES ZONE 4 years ago

    Awesome!!!! How do you do that?????!!!!!
    I also have a youtube channel but I use a chalk board!!!!!
    What gadgets or applications do you use????? Please let me know please please please!

  • Random 4 years ago

    HI!!! 1k likes 1k comment lets date????

  • first name lastname 4 years ago

    Damn, cant believe I haven’t found this sooner.

  • Adrián Gálvez Pantoja 4 years ago

    can we just face the fact that she is writing the equations backwards???

  • ari grande 4 years ago

    Thank you so much for this wonderful video.

  • Revo Wong 4 years ago

    Not specific to anyone, but the professor always sucks. Youtube always make more sense than the university. So why I spend so much on tuition and study on Youtube in the end????

  • Revo Wong 4 years ago

    Gee, this video helps me so much. Appreciate!

  • Arthur Jr. Betez 4 years ago

    am i the only one getting distracted by her beautiful voice

  • Saffi Tuna 4 years ago

    great ! THANK U

  • steveworldwar2 4 years ago

    This was very helpful. Thank you!

  • azhan azhar 4 years ago

    could be the final answer for the last question is ln|2(cosx)^2|+c right?

    • Felipe Chen 4 years ago

      This may be useful:

  • fuckwad 4 years ago

    that smile before every fast forward is breathtaking.

  • All Alone 4 years ago

    This was a calculus video?

  • All Alone 4 years ago

    What type of voodoo black magic. The hell is she writing backwards!!?

  • Aditya Singh 4 years ago

    Very nice video is there any WhatsApp group

  • Harrison Moore 4 years ago

    Gets serious at 13:52

  • Mohamed Abdelnaby 4 years ago

    I’m too distracted by how pretty she looks; therefore, I have failed to grasp the overall methods surrounding the topic, and thus have failed in my pursuit of knowledge.

  • Ayan Ali 4 years ago

    U are truly an X pert teacher….thanks for the help 🙂

  • Ari Starostin 4 years ago

    I stay up late thinking if she really is writing backwards or if thats a trick.

  • FIT_TO_LIVE 4 years ago

    I love U-substitution.

  • Garry Wu 4 years ago

    Very useful,thank u!

  • Alina Prado 4 years ago

    I aced my calculus class before this fucking video came to an end

  • Manjula Guneratne 4 years ago


  • jaufar sadiq 4 years ago

    very good concept

  • Jayce Infinite Al'gharhythmns 4 years ago

    One Word… Lengendary!!!

  • Chris Cook 4 years ago

    You are a lifesaver

  • Christian T 4 years ago

    She needs like some fuckig back ground music or something

  • khalid omar 4 years ago

    Thanks so much for your semple and nice explination

  • அறியுங்கள் உண்மை ponnan 4 years ago

    Maths explained super. Can you load. Fluids, solids, and thermal subject lectures.?

  • Name Goes Here 4 years ago

    Great video, very helpful…thanks!!

  • Jm Defiño 4 years ago

    math becomes hot

  • Abdulla Doha 4 years ago

    Maths is way more enjoyable now wow

  • Simphiwe Dlamini 4 years ago

    I believe t is the standard letter

  • Niels Cremer 4 years ago

    54 previously difficult integration sums disliked the video

  • GamersRow 4 years ago

    i love you nancy, will you marry me?

  • Thewld 4 years ago

    I’m trying to figure out is there a clear board in front of her and she’s writing backwards?🤔🤔🤔

  • Shrijit Paul 4 years ago

    Yes I got it easily……. you r good at teaching…

  • The Eldino 4 years ago

    How do you write backwards🤔

  • Dlnia Hatim 4 years ago

    Really i like math + i like your video to = so i start fall in love with math

  • xinying lin 4 years ago

    OMG! This video is very helpful!! Thank You!

  • David Ullman 4 years ago

    What do “u” and “du” mean? What are those? And what is “dx?”

    • Warc Arden 4 years ago

      David Ullman dx means with respect to x in an integral that is you are integrating with respect to x. u is something you define from the original integral and differentiating u gives us du which we re write in the original integral

  • george githinji 4 years ago


  • Chad Jae 4 years ago

    I dislike my calculus teacher to depths that I’d rather not mention. Thanks for the immense help.

  • Roshan Raj Shah 4 years ago

    Thanks for going slow and in a understandable way. Please keep making such tutorials.

  • Lelouch Lamperouge 4 years ago

    If you were looking at the math, I have news for you

  • مصطفى عبدالامير علي 4 years ago

    اريد ترجمة للغة العربية

  • Dāvis Hmeļņiks 4 years ago

    it was hard for me to concntrate at the begining, she is so pretty, and smart as hell!! SHE is a diamond.

  • Mark Goldsmith 4 years ago

    I think the most impressive part is that she’s doing this while writing backwards. I can bearly manage it forwards

  • alex russo 4 years ago

    can you pls take all the money i ever spent on school tutor uni and literally life because girl you are a life saver

  • Majots Levi 4 years ago

    I’m young but I like her

  • pokemon lover ash negi 4 years ago

    Nice one explanation😊😊😊😊👌👌

  • zagros ghazi 4 years ago

    wow, best teacher ever. its my third year studying calculus but after seeing your video, i understand it perfectly. thank you so so much.

  • Danish Mueen 4 years ago

    I figured out how you write backwards 😂
    You write on a transparent glass sheet and record, then you edit the video and flip it. Simple yet ingenious

  • Francis Gregory Ku 4 years ago

    u r du best

  • Farhad Amirov 4 years ago

    Thanks for your videos

  • Hamza Abdelkerim 4 years ago

    The best teacher I have ever seen

  • JazzyyQ 4 years ago

    Didn’t learn a thing because I was to busy picking my jaw up from the ground. Wow your pretty. Second time around I learned everything I needed to from your video, thanks!

  • Jamal Saydo 4 years ago

    My teacher was right, she is cute.

  • CJ B 4 years ago

    She sounds like she just did weed.

  • Narrated Gaming 4 years ago

    Kawaii :3

  • Vinny Mac 4 years ago

    No I don’t have a du I have a DUI after trying to learn this.

  • Saito Hasegawa 4 years ago

    She hot

  • Marty 4 years ago

    “Function forms.” Nice. (undoing chain rule.)

  • Charmat Mohammed 4 years ago

    d (U^8)=8d(U)×U^7 #8 U^7 !!!!!!!!!!!

  • MS Telecast 4 years ago

    Hi im mohsin bs student so
    Will u plz help me integration of “underroot tanx”…?

  • Tony Tran 4 years ago

    I was looking at a problem with U substitution and couldn’t figure out why du disappeared in the solution. I’m so glad you explained it as reversing the chain rule. Thank you!

  • John Landon Miller 4 years ago

    8:17 Please answer me, why is it ok to completely ignore the 3x^2? I mean it was like it didn’t even exist

    • Warc Arden 4 years ago

      John Landon Miller du = 3x^2 dx thus both 3x^2 and dx are replaced by du when she re writes the integral in terms of u

    • John Landon Miller 4 years ago

      Fen boii yea I understood that now thanks

  • Sam Yirang 4 years ago

    Watching this while doing problems on inverse trig functions. Don’t know why but at least ILATE.

  • dumb boyiam 4 years ago

    Nancy you’re no fun my dear

  • ali 111 4 years ago


  • Sabahat Sahotra 4 years ago

    hey nancy the end ans. could be also 1/2(secx^2)+c

  • Dante Francisco Domingo Carlos Andres Sebastian 4 years ago

    Thanks for the refresher. Great explanation Miss Nancy!

  • Saad Khan 4 years ago

    Thank you soooo much you truly are a blessing.We really appreciate your work please keep making more videos.

  • Jeffrey Spillman 4 years ago

    Just spent 26 minutes watching this and now i have a better understanding than spending 2 hours sitting in a lecture. Cheers Nancy!!!

  • M T 4 years ago

    you are one of the main reasons I got an A* in A level Maths

  • Josche Lorenzo Mallares 4 years ago

    I finally understood U sub after spending 2hours studying it and 3hours in lecture 😀 thank you so much great video

  • Max Harrison 4 years ago

    Oh wow that’s smart as hell. I’ve been wondering how she is able to write mirrored on the glass so well. But you probably right normally and mirror the video!

  • Karl Scheel 4 years ago

    Nancy, I keep having _oh so sweet_ daydreams whenever I watch your videos, as is evidenced by the number of times I have to rewind. If you were to do it all in real time instead of in video format, I would have been *totally* lost! 😉

  • Laman Mammadova 4 years ago

    Honestly GOD BLESS YOUR SOUL😭❤️❤️❤️

  • gurpreet dhillon 4 years ago

    Hello mam,
    please help me out to solve the following
    The engine speed where the integral of max. Mapped torque is 51 per cent of the whole integral between 𝑛𝑖𝑑𝑙𝑒and 𝑛95ℎ. there are values from n to 95 n

  • Hayder Al-Lami 4 years ago

    all waya great

  • Cookie Monster 4 years ago

    why do people like her not have millions of subs, they’re doing more good than rice gum and jake paul

    • Daniel Ross 3 years ago

      if she dabs she will get famous

    • Vincent Grimaldi 3 years ago

      Think about the potential audience size. People who are using YouTube specifically for Calc 2 versus people who are using Youtube to consume “entertainment media”, the market sizes of those two population groups are wildly different, and thus, the subscribe base is usually commensurate with that.

      Not saying it’s wrong or right, but that’s why.

  • Jesus Hernandez 4 years ago

    Hot girl

  • Shibli Ziadeh 4 years ago

    Nancy Pi, I have no clue as to why 76 people disliked the video lesson, by the you are great. but, now I remembered that math is the leading cause for low IQ of this nation and that alone causes people to have scrambled brain also the urge to go pee pee.

  • Caye Zara 4 years ago

    Nancy, When you explain, it is clear as crystal. You are beautiful!

  • emmanuel caliscra 4 years ago

    beauty with brain

  • Exeter College, UK, Technology Centre 4 years ago

    These videos are so good they’re part of the lessons here now – many thanks for your great work.

  • Maddie Thompson 4 years ago

    i go to one of the highest ranked universities (in the world) and shes better at teaching than my calc prof. thank u so much girl

  • Cem Adatepe 4 years ago

    I am taking AP Calc Test AB as freshman. This helps so much because I am self taught and have no teacher. Thanks so much!!!

  • emmanuel caliscra 4 years ago

    beautiful with brain

  • Sean W 4 years ago

    thank you so much nancy

  • LYNX 4 years ago

    NancyPi: “Now this is looking like you know how to integrate”
    Me: “ha you think i know how to do this why else would i be watching”

  • cheshirecat200302 4 years ago

    These lessons are so enjoyable, I am having fun re-learning my calculus again even though I don’t need it in my work. Strangely de-stressing, keep up the good work!

  • RECTmetal 4 years ago

    Once again NancyPi to the rescued to explain a concept much more simply and in half the time as the Prof that I pay..
    So once again, thank you so much for your incredibly helpful videos!! You do such a great job.

  • Jansen Tanu 4 years ago

    Your ability to write in mirror-image wise never ceases to amaze me.

    • Matthew Fuerst 4 years ago

      Jansen Tanu idk if this is a joke but I’m pretty sure that she just writes it normally and then flips the video before posting it

  • Aaron Mckinnon 4 years ago

    Didn’t even come here for maths 😉

  • Aaron Mckinnon 4 years ago

    I’m a local maths teacher, geez ur no. ur getting pumped

  • محمد فيصل 4 years ago

    Very nice Nancy, thank you

  • Mal TV 4 years ago

    But on a serious note, I would wife you. And on a more serious note you’re doing great this is very helpful

  • raptorgod77 4 years ago

    Damn shes cute ill never get a girl like her 🤓

    • Meme Lord 4 years ago


  • Md Atik 4 years ago

    Very effective video.I’m….

  • ztype232323 4 years ago

    So does she write backwards or something 🧐

  • Geeta Kundu 4 years ago

    You are awesome☺️☺️

  • Matthew Berrios 4 years ago

    Thanks for the explanation, better than my professor’s. It was like a free lecture, without the need to fetch a tutor that’s busy with hundreds of students. You cleared up some of my confusion, such as how dividing fractions is the same as multiplying by its reciprocal.

  • Ally & Tori Scholten 4 years ago

    You have no idea the blessing that you are to me!!! Getting a 73 in bus calc… are helping me so much!

  • NAS MUH 4 years ago

    Thank you Nancy, you are just perfect in what you are doing please keep on

  • Kümmel Karsten 4 years ago

    i wish you could teach me some

  • Elliot Witecki 4 years ago

    excellent lesson and shes cute too ! (:

  • Ahmed Ismail 4 years ago

    Amazing as usual but you’d thank me if you watch this video at 1.5x

  • Brandon Raf 4 years ago

    the integral of x/x+2 was on my test and this helped me

  • Andrew Cullum 4 years ago

    I simply don’t understand how you remember all this and methods, so many people can do this, I unfortunately can’t, algebra just leaves me cold, just how my brain is wired I guess!

  • noah 1213 4 years ago

    Anyone else getting ready for this AP calc test?

    • F.V. 4 years ago


  • Thembelani Miya 4 years ago

    Perfect explanation, many thanks!

  • Nitrogen 4 years ago

    I’m a proud subscriber! This young woman is certainly easy on the eyes, has a nice voice and demeanor, and most noticeably is very intelligent and knows how to convey her knowledge in simplistic, understandable ways.
    Thank you Nancy, you’ve certainly helped me out in a lot of my classes!

  • kairos joseph 4 years ago

    wait guys is she writing backwards so we can see it forwards hmmmmmm.

  • Sailey Thomasi 4 years ago

    God bless you Nancy

  • faran rihan 4 years ago

    find the indefinite integral by using change of variable method:

    • Herb Cruz 3 years ago

      So, in this case, you have the (indefinite) integral of 3 * sqrt(3 + 7x) dx. What might help a little bit, to start off, is to pull the 3 out in front, first, since it’s a constant multiple.

      NOTE: I will leave off the “+C,” until the very end of the problem, which we need, because this is an indefinite integral.

      Then you get 3 * (the (indefinite) integral of sqrt(3 + 7x) dx).

      Now, let’s take a look at (the (indefinite) integral of sqrt(3 + 7x) dx).

      Now, when we integrate by substitution, we typically substitute for the inner-most part of the function, which, in this case, is the 3 + 7x, since that is the expression inside of the square root. We also notice that when we take the derivative of 3 + 7x, we just get a constant (7). We differ by a constant factor, when we take the derivative, but we can work our way around that, fairly easily.

      So, we start off by substituting for the 3 + 7x.

      Let u = 3 + 7x.
      Then du = 7 dx.
      => (1/7) du = dx.

      (In this integral, however, we have the dx, but we don’t have the 7. Hence, we need to divide both sides (of the du equation) by 7, which is the result above.)

      At this point, our integral becomes (the (indefinite) integral of sqrt(u) * (1/7) du). The (1/7) is a constant multiple, so we can pull it out in front of this integral. We get (1/7) * (the (indefinite) integral of sqrt(u) du). We can re-write sqrt(u) as u^(1/2). Then (1/7) * (the (indefinite) integral of (u^(1/2)) du).

      To find the antiderivative of u^(1/2), we can use the Power Rule for Antiderivatives, since the exponent on the variable, in this case, is a number, where that number is not equal to -1. The Power Rule for Antiderivatives tells us to bring down the variable, raise the exponent on the variable by 1 (i.e., add one to the exponent), and then, in front of that, multiply by the reciprocal of the new exponent.

      In this particular example, when you raise the exponent by 1, you get a power of (3/2) (i.e., because (1/2) + 1 = (3/2)). We also know that the reciprocal of (3/2) is (2/3), so that’s what will go in front of the variable raised to the power.

      (1/7) * (2/3) * u^(3/2)

      We started out in terms of x, so we need to finish in terms of x, and so we go back to our original substitution, now (We replace u with 3 + 7x).

      (2/21) * (3 + 7x)^(3/2)

      Don’t forget that we also had the 3 (which I wrote, below, as (3/1), since we’re multiplying it by a fraction (i.e., (2/21))) that we pulled out in front of the integral, at the beginning of the problem.

      ((3/1) * (2/21) = (2/7))

      (3/1) * (2/21) * (3 + 7x)^(3/2)

      (2/7) * (3 + 7x)^(3/2) + C

      After all simplification is done, we get (2/7) * (3 + 7x)^(3/2) + C.

    • Herb Cruz 3 years ago

      Now, let’s take the derivative of our answer, and check.

      (d/dx) ((2/7) * (3 + 7x)^(3/2) + C)

      The (2/7) is a constant multiple, so it stays put. Then, to take the derivative of (3 + 7x)^(3/2), we have to use the Chain Rule (in combination with the Power Rule) (Bring down the exponent and the variable, then subtract 1 from the exponent, and then, by the Chain Rule, we also have to multiply by the derivative of the inside).

      (The derivative of (3 + 7x)) = 7

      NOTE: I wrote 7 as (7/1), so that I could multiply it by the other fractions.

      ((2/7) * (3/2) * (7/1) = 3)

      (2/7) * (3/2) * (3 + 7x)^(1/2) * (7/1)

      3 * (3 + 7x)^(1/2)

      We can re-write the (1/2) power as a square root.

      3 * sqrt(3 + 7x)

      The derivative of the “+C” is zero (0), because C is a constant, so we can just leave it off, when finding the derivative, because we’d just end up adding zero (0).

      Lo and behold, we got back the function that we started with. So, we know that our antiderivative is correct.

  • Emmanuel Renteria 4 years ago

    Really glad I took the time to search this up and find this video because it made substitution so much clearer.

  • Prue Mu 4 years ago

    Thank you so so much.. although no 2 was kinda a pian for me I’ve understood..thank you so much…

  • Mevan Surchi 4 years ago

    Thanks this is so helpful

  • Cesar Godinez 4 years ago

    I hate the way she speaks but i love the way she teach

    • Matthew Fuerst 4 years ago

      Cesar Godinez she has some weird pauses but I’m pretty sure it’s just her pausing, trying to decide how far to dumb it down.

  • Ivan Sidorenko 4 years ago

    blink twice if they’re holding u hostage

  • Matthew Fuerst 4 years ago

    My final is coming up and she just taught me all of math analysis in one night better than my teacher has in a year.

  • Vinh The Gamer 4 years ago

    thank you very much. . i’m styding now amolst 11PM,,this really helps me for the test tomorrow

  • Nick Su 4 years ago

    I watch your videos in a mirror
    Thank you so much

  • Lay 4 years ago

    25:35 “Calculus is everyone’s favorite *nervous laughter*” HAHAAHAAHAAHAHAAHH

  • Asila Al-harthy 4 years ago

    Your videos are great help to me
    Thank you 💙

  • Adam Gamali 4 years ago

    You’re the real MVP

  • Ahmed Husnainayan 4 years ago

    Why does she smile?
    Distracts me

  • vikas saini 4 years ago

    i love you nancy pi for your way of teaching and expression.

  • Dun Mealder 4 years ago

    thanks a bunch very machhhhhhh

  • MR. VIVEK 4 years ago

    What a mem💖💖💖💖💖💓💓💓💓💓💝💝💝💝

  • MR. VIVEK 4 years ago


  • MR. VIVEK 4 years ago

    Men you so beautiful 😚

  • MR. VIVEK 4 years ago

    Bhai log kon sums ke bahne mem ko dekh ne ata he 😝😝😝😝😝😝😝😝😝😝
    Lile here🤘

  • The Surge 4 years ago

    Thanks for making this content to help people with math! I followed along with your videos after using other youtube channels to help me get through calc 1! Finals soon!

  • Vimal Sabari 4 years ago

    Can u speak louder???😊😊

  • DeadPan 4 years ago

    Nancy I can totally integrate U in my life

  • Il Piccolo Nerd 4 years ago

    You are amazing Nancy. Thank you from Italy. You’re helping ppl all over the world :)))

  • Jonathan Zamora 4 years ago

    2:28 wrong

  • Umair Ghouri 4 years ago

    You have properly explained what my 2 instructors were never ablet to explain. The U-substitution was a nightmare to me. Thanks very much for the video… Keep up the work….

  • Tshiamo Mogodi 4 years ago

    super duper ,well explained

  • Carter Pisani 4 years ago

    nancy you bastard

  • raj singh 4 years ago

    it is basically integration by parts

  • hannah hochhalter 4 years ago

    wow thank you so much, this was actually helpful and I could understand it completely. I have kind of been getting the gist of it, but it wasn’t until this video that all my questions and confusions were cleared up. THANK YOU!!!

  • Bhargav Rentala 4 years ago

    3:50 what is it is at the top of the fraction?

  • VE-dish 4 years ago

    Substitute ex by you 😂

  • Serge Daney 4 years ago

    You m’lady are not a mere mathematical model–you’re a theorem.

  • Michael Kim 4 years ago

    Holy… I finally understand this after hours of trying to learn

  • vimalesan thiyagarajan 4 years ago


  • firoz 4 years ago

    Beauty with brains. I am smitten.

  • lil cham 4 years ago

    Thank you❤❤

  • Adriaan van Aswegen 4 years ago

    Thank you, great video, I like the simplicity and structure

  • Matt Moseley 4 years ago

    POTENTIAL CLARIFICATION IF YOU ARE STILL CONFUSED: On thing I personally kept getting caught up on is why these equations were “a perfect world scenario” and why that worked. Simple approach/ phrasing fix for me is, when you find du in relation to x and dx take that equation and specifically solve for dx. Then substitute that into the integral for dx. Take the trig equation at 23:00; solve for dx=-du/sinx, when you substitute that whole statement in instead of stopping at sinx dx = -du and assuming. You will have a sinx in the numerator and the denominator that cancel each other out. It should be the same answer in most cases for the perfect world scenario. If doing that creates issues like another denominator with a polynomial or a root function to deal with you could then take a step back and try to single out the inverse of the numerator the way she did, but that shouldn’t happen. Also, what I said might be a bit more time consuming if that issue can happen, but it just seems like a mindset/ approach that’s a bit more algebraically sensible to someone coming into this. It might be a practice thing or just the way I see problems personally, but eventually you should be able to see those patterns before hand the way Nancy did.

  • Dan T 4 years ago

    Petition to give James Stewart’s 33 million dollar mansion and gift it to NancyPi because real math teachers deserve mansions, not scam artist textbook authors

  • Alexander Prayoga 4 years ago

    She is so smart and pretty

  • Muzffar Hussain 4 years ago

    you are so beauty! as well your explanation that is also enhancing beautification!!!

  • Andrew Karlin 4 years ago

    AP calc today in a couple hours. And I’m watching this, wish me luck

  • Bob Pickleson 4 years ago

    How does this beautiful and smart girl write a mirror image of equations so well wtf

    • Rob P. 3 years ago

      She doesn’t …. it’s originally shot with her on the right side writing on the left, that image would be in reverse to us as is, so they flip the image, she goes to the left and the writing appears correct. What’s blowing my mind is that she is a lefty and proves the point that lefties are great with math …. definite truth to that one.

    • Bob Pickleson 3 years ago

      Rob except then the math would also flip dude lol.

    • Travis Ritter 3 years ago

      @Bob Pickleson u guys are negative iq she is writing on a clear board in front of her then she mirrors the vid in post production so it looks normal to us

    • NukePizza 3 years ago

      @Travis Ritteryep

  • Plamen Savchev 4 years ago

    I would love to support you for all your hard work. However, would prefer to do it one time only and not subscribe and share personal details on any website. As MIT graduate I’m sure you’ve heard of Bitcoin. If you have a wallet please share it and I would be happy to donate. Kind Regards

  • Joshua Mazibuko 4 years ago

    Now I understand intergration you are a STAR Miss Nancy Pi

  • PotatoChips2001 4 years ago

    Rendering error 0:27

  • CaptainSchlockler 4 years ago

    Damn, she’s good at this.

  • russianlove3 4 years ago

    Nancy, you’re such a wonderful teacher! You have really simplified the concept of u substitution for me! So much clearer now. Thank you so so much! Way better than my lecturer at university <3

  • Chinmay Dokey 4 years ago

    U have made me understand u – sub so perfectly that I’m also able to integrate complex functions… Thank u Beautiful😄

  • udit saxena 4 years ago

    I wish i have a future girlfriend as brilliant as you are

  • Shad Bud 4 years ago

    You helped me so much ,you have no idea teachers should play your videos instead of explaining it themselves

  • Scott 9830 4 years ago

    Videos are really helpful, you are great, thanks!

  • Ryan 4 years ago

    play this at 1.25 speed, you’re welcome

    • Stardust Lordfinery 3 years ago


    • Erfan kamali 2 years ago

      thank you sir

    • dhruv 2 years ago


  • Ndumiso Bhengu 4 years ago

    Nancy, Math

  • Azar 4 years ago

    man i can’t focus with that voice. are you teaching me or seducing me LOL

  • Sen484 4 years ago

    I really don’t get it.

    There are millions of teachers around the world. *Millions*. And here we have one young graduate posting YouTube videos that will be used for years to come, putting most of them to shame. Why read black and white books to learn this stuff anymore, when you can have a clearly explained video with sound, picture, and body language/tone of voice to teach you. Academia needs to evolve, badly.

  • D Hrishik 4 years ago

    Thanos u so much.
    Just kidding thanks so much.

  • Josué Gutiérrez 4 years ago

    you are the best!! with your videos I reviewed my lack of calc 2 for my Differential Equations class!! Thanks for doing everything step by step and keep up with the amazing content. By the way, you are so beautiful without being creepy or anything!

  • Theodore Vassiliades 4 years ago

    she’s rather good.

    what is missing is applying videos with pure theory , so that the exercises are more thorough

  • Calité 4 years ago

    I’m so happy, this video made me see the light.

    I was revising for my maths resit for my engineering diploma last week, was really struggling after studying integration by substitution, integration by parts, not getting it, then moving onto ODE’s & Taylor/Maclaurin series, all requiring knowledge of integration methods. I was really at a loss, watched your very well explained video. I have since decided engineering isn’t for me, start my first lesson to become a truck driver in 3 weeks provided my medical comes back clean.

    I can pass every other aspect of engineering, but this pure maths just doesn’t work in my head.

  • TiaTia Seetal 4 years ago

    @NancyPi , wouldnt the integral on the third step of your second example with the fraction become an absolute lin function instead according to the integral rule?

  • shero show 4 years ago


  • Lamisa Humayera 4 years ago

    really u r g8

  • Evangeline Alabata 4 years ago

    i love you.. you’re so beautiful and smart… muah <3 <3 <3

    • Auhana 494 3 years ago


    • Evangeline Alabata 3 years ago

      @Auhana 494 nope..haha..i have a boyfriend..saying i love u to a fellow girl doesnt mean a lesbian…

    • Auhana 494 3 years ago

      @Evangeline Alabata ooo, i’m sry. Dont mind. I shudnt hav said dat🙏😺

    • Evangeline Alabata 3 years ago

      @Auhana 494 its ok…

  • Windows Logo 4 years ago

    So, basically, we just guess it, right?

  • JJ 4 years ago

    Maths is my favourite subject now

  • ScoutiverTTV 4 years ago

    I always thought you typed mirrored, wich is difficult, but you just mirrored normal typing with the camera 😮

  • Sara R 3 years ago

    This was super helpful thanks!

  • Samrt Atte 3 years ago

    ohhhh yeeeeessssssss

  • Otiakin 3 years ago

    You are my secret crush on internet, I fall asleep listening your voice, your channel is the best I subbed in my entire life.
    I have one question: are you lefty able to write mirrored? Because I am too.
    Hugs from somewhere on earth <3

    • Jordan Holt 3 years ago


  • Theunis Jansen van Vuuren 3 years ago

    Very good video and explanations, but I’m vexed by your inverted writing! What witchcraft is this! 😉

  • Adam Kingry 3 years ago

    That’s the cleanest, least tedious presentation on u substitution I’ve ever seen. Excellent.

  • James the Giant Beast 3 years ago

    That was epic!!!

  • Mohamed Al Hosani 3 years ago

    I wish my teacher can explain questions like you

  • Avishek Chakraborty 3 years ago

    Thankyou for your awesome videos. The way you make us understand is so simple. Liked it 😊

  • Michaela 3 years ago

    thanks for saving me from my teacher’s lack of explanation <3

  • Karles McQuade 3 years ago

    I’ve studied calculus and I’m a teacher. These videos on calculus are easily the best series on the topic I’ve ever seen. Nancy relates easily to the real struggles of calculus students, each step in the approach connects clearly to the previous one, and her set-up of the clear board looks awesome but is very effective and non-distracting. Beautiful work.

  • MoY 3 years ago

    WOW…your amazing. Just rescued me!!!

  • Az Qs 3 years ago

    Thank you so much 🖒🖒🖒💓💓💓

  • Aint Falco 3 years ago


  • Karim Azzouzi 3 years ago


  • Antonio Luiz Brandão Squadri 3 years ago

    I have never had a so competent and beautiful teacher

  • Khalid Abdulqadir 3 years ago

    How can I marry you teacher 💔

  • Peter V 3 years ago

    Nancy – you explain everything so well. I wish that I had had a teacher as gifted as you when I was initially learning these concepts forty years ago. Thank you for all that you do. Please keep up your amazing work.

  • Mustapha Sammer 3 years ago

    Hi Nancy your classes are very interesting. I have almost 50 video the sum of my eyes and abbonnés is not even worth 2% dun of your video,! maybe they will see your sexy voice or your beautiful eyes in my chain, Maybe the numbers of my abbonates will increase what do you think ..? I am also a matematician and physisian 😚

  • Simranjit Singh 3 years ago

    Now I realize how beautiful subject is mathmatics😁😁😁😁

  • Александр Морженко - поэт каменного века 3 years ago

    Hi guys does anyone could tell me where we can use this calculus in real engeneering ? No kidding please

  • Maryem Awad 3 years ago

    u a whole princessss.

  • Mathematics Grade 12L 3 years ago

    I like Maths.

  • Ashwin Abraham Jacob 3 years ago

    Pretty pretty pretty pretty pretty pretty. If u were my math prof I’d never have cut my classes.

  • Adele Boltz 3 years ago

    ive watched SO many videos (most of them in german, they are usually not as good as the english ones) … and none were so clear and understandable as this one!! I dont usually comment under videos but thank you so much! in a way it did save my (social) life cause i hopefully dont have to retake my exams and waste my summer studying 🙂

  • Kevin Parsley 3 years ago

    actually +C is +C because, if the actual value is negative, +(-) evaluates negative. if it was -C and the actual value was negative it would be -(-) which evaluates positive. it is +C on purpose.

  • geni bedi 3 years ago

    you are incredible , thank you very much

  • Paulo R Menezes 3 years ago

    Man, this teacher is gorgeous!!

  • Ayush Desai 3 years ago

    You are the best Math teacher i ever had!

  • Itv noakhali 3 years ago


  • Björn 3 years ago

    i would never substitute u.

  • Breno 3 years ago

    very intersting i am not native speaker and it is always n8ce to brush up some maths and also the math terms

  • kyle kyle 3 years ago

    I’m so good in math and I can use so many short tricks to get the answer in 3 steps without that long explanation.

  • FuckYouWhosNext 3 years ago

    if you are taking calculus LEARN THIS METHOD because you will see it again and it will save your ass!

  • mario arrizon 3 years ago

    you are a marvelous teacher, tank you!

  • khay kunthea 3 years ago

    Hello I love your teaching . I am a cambodian. I want to know about that you using program . can you help me

  • Zuping Liu 3 years ago

    this video is wonderful

  • German Sanchez Lobo 3 years ago

    Thanks Nancy. Great class.!!

  • Mohammed Aasri 3 years ago


  • Los Daniellos B 3 years ago

    they say it’s hard to find a woman that will be both beautiful and smart – here she is!

    • John Days 3 years ago

      Such a stupid comment.

    • Los Daniellos B 3 years ago

      Well, I can’t make everyone happy

    • John Days 3 years ago

      @Los Daniellos B yes you can.

  • Константин Егоров 3 years ago

    Была бы такая училка по математике у нас в школе, я бы даже всю таблицу умножения выучил.

  • shishir tamang 3 years ago


  • John Bowman 3 years ago

    Thank you so much for taking the time to make this video!!!!!

  • pew 3 years ago

    This video really helped me understand much better.

  • Thalabathula Shanmukh 3 years ago

    Thanks for your explanation

  • Michael Hevezi 3 years ago

    So #1 it’s somehow 10x easier to learn from an attractive babe contrary to popular belief. #2: She looks like Violet from The Incredibles.

    • Michael Hevezi 3 years ago

      #3 (and this is the big one): Is she straight up writing in reverse so that we can see things facing the right way?

  • Badruddin Shaikh 3 years ago

    Thank u medam God bless you….

  • SunriseLAW 3 years ago

    NancyPi is my girlfriend and she is just like the square root of negative 100: a perfect 10 and imaginary.

    • Arnab Chatterjee 3 years ago


    • Chris Smith 2 years ago

      @Joshua Runt no lie dude she’s fine but that’s it, 7/10 from me

    • Abubakar Sial 2 years ago

      hahah, I like that!

    • SunriseLAW 2 years ago

      @kumar upendra I clicked your link frantically because I imagined my ‘perfect 10’ GF Nancy Pi might be there and she was not. 🙁

  • Rob P. 3 years ago

    Hot with Brains ….. 👍✌️

  • damann oneone 3 years ago

    what is the point of u other tha simplfying solving for x?

  • saman khalili 3 years ago

    I love you

  • Mitch Hall 3 years ago

    thanks Nancy ily

  • Dani Hana 3 years ago


  • Laercio Civali 3 years ago


  • Alex T 3 years ago


  • Mirshad Ps 3 years ago

    Nice, u teaches well!!!

  • Vincent Poulaert 3 years ago

    I Love you Nancy and may be we could still!

  • Vincent Poulaert 3 years ago

    nancy you are not at power 7 you are at power 2 yourU

  • Vincent Poulaert 3 years ago

    nancy take you compute first the power you multiply by the 3*x power and you get a summ to integrate take care

  • Vincent Poulaert 3 years ago

    Nancy you explain nicely and i would like you explain me from closer

  • Vincent Poulaert 3 years ago

    creest Nancy take care to that too finger length!

  • Vincent Poulaert 3 years ago

    Nancy ho w does it go since the first time we met? and since the seccond?

  • Vincent Poulaert 3 years ago

    nancy i dont like to much your long fingers but i could house you!

  • Mark Owen 3 years ago

    Excellent video. Your ability to write all this backwards is amazing. Well done!

  • Arfan Husson 3 years ago

    Your teach is very well my lovely teacher.

  • Arfan Husson 3 years ago

    And also thank you so much for helping us in our problem

  • Aki Bandwich 3 years ago

    Where you were when i was a student? 🙁 thank you very much for explaining math staff, love you ❤️

  • Natalie Red 3 years ago

    Thank you

  • Thomas Olson 3 years ago

    I luv U

  • Arjay De Leon 3 years ago

    I LOVE YOU NANCY ❤️♥️ from Philippines thank you for making this kind of video😄 hope your channel grow even more 😁

  • Hermes Chavez 3 years ago

    this reminds me of the ood from doctor who

  • Monse Cortez 3 years ago

    where did you get the one in the numerator once you’ve integrated? 25:00

  • David M 3 years ago

    Great presentation, but the pink marker cannot be differentiated from the whiteboard.

  • sonam Pandey 3 years ago

    By watching this video ,I only became aware of u-substitution properly

  • Hans Isbrücker 3 years ago

    You really made it click for me

  • Round Arthur 3 years ago

    very clear. thank you!

  • mosimanegape nsagwa 3 years ago

    Nancy you are the best… I’m praying for you

  • Arnav Jaydev 3 years ago

    Perfect example of beauty with brains…..
    Thank you so much Nancy. Loved your video😊

    • Lοɢɪco Λόгος ̙ 3 years ago

      She is “a-ight,” (for the U.S.) In Greece all women are sexy, bilingual, can teach you Calculus, cook, have style, AND will introduce you to their pretty friends, so… Nancy’s cool, but I’m not blown away.

  • Alexander Petrovski 3 years ago

    Nancy, you’re awesome 🙂

  • Onwell Singano 3 years ago

    Nancy youre awesome your turtorials are very clearer to understand kip iTn up

  • Ranjana Wankhade 3 years ago

    thank you very much

  • fossordh 3 years ago

    Thank you so much for not being an insecure jerky math teacher!! You’re awesome.

  • John Bowman 3 years ago

    Thank you SOOOOO MUCH Nancy!!!!! I honestly think I would’ve failed already had it not been for your videos! Keep up the excellent work!

  • Jena Shiblak 3 years ago

    thank you so much!!!!!! your videos are so much help!

  • Arjun Sohota 3 years ago

    Thank Youuuuuu!!!!!!!!!!!!!!!

  • Rebecca Chappell 3 years ago

    Thank you! This video not only made integration easy to understand, but it actually seems like fun. Better than any other instruction online.

  • Ramy G 3 years ago

    Can I download your math brain onto mine? I always wanted to do math like a genius…

  • Arianne Santos 3 years ago

    Thank you for all your helpful videos 😍

  • CustomWavyBaby 3 years ago

    Genius Nancy said calculus is everyones favorite lol. Greatest teacher and a comedian!

  • Luis Fernando Tarazona Herrera 3 years ago

    I love the way that you teach ..
    Only one cotation: sometimes you are so fast and avoid some explanations that trow me out and; thanks to the technology but also because of You ( a completelly sweetheart ) I fastforward and pay full attention I can understand …..
    May God Bless you for being and have a very sweet and meak actitude with us.
    I confess that in the beginning your beauty distract me so much but do not deminissed your femminity and beauty I paid more attention on every class and exercise that you solve ….

  • Abdullah Tushar 3 years ago


  • Lokesh kkk 3 years ago

    So yeah na yeah i swear i came 4 maths

  • zzApotheosis 3 years ago

    MIT grad, eh? I graduated from a school nobody outside of Colorado has heard about: MSU Denver.

  • Reddevil 007 3 years ago

    Pls come back!!! ❤

  • Robi Vikking 3 years ago


  • JB 3 years ago

    Is 1/(2Cos^2x+c)= Sec^2/2+C?

  • Leon Dzojic 3 years ago

    Thanks very much, lady! Super helpful stuff.

  • RYSV 3 years ago

    Super helpful ! Thankyou ❤️

  • ROGERIO SANTOS 3 years ago

    On sample no 2 can you check it i found a mistake when you try to divide the 4 / 1/2 you wrote 2 which it should be 8 and the answer must be -1/4(8)u1/2+c

    • Robert Brandywine 3 years ago

      At around 14:50. No she is correct you flip the fraction 1/2 so it becomes 2 and then 1/4 times 2 = 2/4 = 1/2. The way you are thinking, distributing in the 1/4 the value of the denominator would become 4 x 1/2 = 2, which you then would flip to again equal 1/2.

  • Youtube Star 3 years ago

    Mera logi

  • Rabab Alnajjar 3 years ago

    thank you very much, this video was helpful!

  • Isabella Maxine 3 years ago

    Took Calculus 1 two years ago and Pre-Calculus nine years before that. I’m in Calculus 2 now, and I had no idea there were such things as a “refresher course.” Needless to say I’ve been trying to re-teach myself Trigonometry/Precalculus in order to relearn Calculus 1 in order to even grasp Calculus 2. My professor has been explicitly asked twice over the past few weeks, “How do you know what to take as u?” and his answer was the same each time: “Think of it as… an art. You can’t really explain. It’s uhhh, intuitive.” (What an educator.) Sigh. These past 3 weeks have been rough. Like, really rough. Thank you for softening this hard life♥︎ You (and Professor Leonard) are incredible at translating this crazy conceptual language that is mathematics into sweet plain English. Thank you thank you thank youuu. My first exam is in a couple days and it’s a sweet feeling knowing I might actually pass 😭

  • Asa Tshazibana 3 years ago

    Are you writing backwards or am i tripping?

  • Salvador Hernandez 3 years ago

    Where were you during my college math classes? What a great combination …. Beauty, to keep the interest up (among other things, lol!).

  • Croc hunter 3 years ago

    Can you tech me math baby?

  • Abuhanan83 3 years ago

    Thank you Nancy for this great useful video I have a hard time understanding the math in all parts but I find your video really clear things up and very useful so thank you and keep posting these great videos

  • Shah Faisal 3 years ago

    Can solve without writing a single word.

  • steijn vanb 3 years ago

    Math asmr

  • Devasis Gogoi 3 years ago

    Your very sexy

  • Sean Chee 3 years ago

    You saved meeeeee. Thank you so much. Been struggling so much.

  • The Supporter 3 years ago

    you are beautiful and pretty :)…i like to see your videos

  • Giuli Zelaya 3 years ago

    thank you so so much! i appreciate you!

  • Farhad Ahmadzai 3 years ago

    impossible to concentrate when you are on screen!! :/

  • Matemática Fácil com Prof. Juarez 3 years ago

    I am a Brazilian math student. You make me like math more and more. Thank you so much.

  • Abishek Nair 3 years ago

    How you are managing your self to write mirror image so perfectly ???? Pretty impressive…

  • Reem alb 3 years ago

    I love you .. really

  • up next 3 years ago

    Wow ….
    I am forget study while looking u😜😜

  • Ali Eser 3 years ago

    god damn it I’m in love

  • Vivek Kalaramna 3 years ago

    Wait here Mr.sins is coming to help you in teaching. LOL

  • Vincent Lisa 3 years ago

    Got my strong af coffee, time to study for 8 fuckin hours for my test tomorrow, lol

  • Ian Munyanyi 3 years ago

    Your explantions are very clear and helpful

  • Can I get 300 subscribers with only one video plz 3 years ago

    You taught me the thing in just 8 min which my professor took 3 classes and still I wasn’t understanding it. You are like goddess

  • Drew Petersen 3 years ago

    I really like how you provide the different “types” of problems you will see when using this process. I know you do that with all of your videos, and it’s really helpful for us to learn that, even if we are practically copying when we see it in application, but it makes it easy to catch on how it works in general later. In other words, the way you make your videos is probably the most helpful from what else I’ve seen on YouTube. Thanks!

  • Arjun Jain 3 years ago

    I love it when she says substitution… and all those other things

  • メSusan 3 years ago

    Salute this lady.. She knows something that most people don’t know

  • Yusra Aftab 3 years ago

    You are amazing at explaining! Thank you so much and please keep making videos! 🙂

  • Asif Nahyan Kabir 3 years ago

    Wow it seemed as if Nancy was feeling tortured doing the second math. My Goodness, I felt a twist in my brain and it hurt.

  • Namrata Mobarkar 3 years ago

    Tysm for such great explanation

  • Thobeka Mazibuko 3 years ago

    Tnx this video is helping me. U r really a life saver

  • Daniel Harty 3 years ago

    Great videos nancypi!

  • Kurei Wekmara 3 years ago

    You the best honest

  • Ma3zA 3 years ago


  • Atlas 3 years ago

    Is it just me or are you guys also having trouble concentrating in the math part? This is why they say I have adhd

  • deepak kumar 3 years ago

    hindi speak

    • Warc Arden 3 years ago

      deepak kumar ?

  • Joe Allom-Perez 3 years ago

    Hi qt

  • Hijazi. 3 years ago

    You should be a web-assign tutor, all tutors over there are useless assholes.

  • Bobby Weber 3 years ago

    how I’m supposed to concentrate while she is there ?

  • Bongiwe Mathenjwa 3 years ago

    thank you so much for these

  • santi di 3 years ago

    you are the best

  • Mjd Ilast 3 years ago

    So what you are saying Nancy is that the substitution method is the undo of Chaine Role, and by figuring out whats U is makes the process easier ?. Now the whole thing make sense to me 👍

  • Peter Weida 3 years ago

    Thank you NancyPi! I am about to take a calculus test. You slowed everything down enough to listen to and enjoy =)

  • Avelile Nkasa 3 years ago

    Wow without I shouldn’t have made it 😙😙😙,,,,this was like a nightmare to me

  • Niels P 3 years ago

    If I pass my mathematics course it is definitely because of this channel. You are the best

  • Ezio'sDIY 3 years ago

    You’re cute 😍😍

  • Tara R. 3 years ago

    Ahh thank you for the easy to understand tutorial! I was missing a key step for U-substitution. Now it finally makes sense!

  • zila lll 3 years ago

    she has to write backwards on the glass.

  • Seyoume Taddesse 3 years ago

    your work is very good for me so please send me some applications of intgration examples in Economics

  • Ansh kamra 3 years ago

    This is too basic
    Teach something advance

    • Lightning Farron 3 years ago


  • Antoine LeNoob 3 years ago

    Thanx a lot

  • cmonclair27 3 years ago

    Thank you Nancy. Math always plays hard to get with me. But I like it a lot. So it’s worth the ☕ and deep breaths and 6hr. sleep sessions.

  • Seb Eichler 3 years ago

    What if you have d pression?

  • Ricky Garcia 3 years ago

    She is writing backwards

  • Bre Jackson 3 years ago

    I used to watch your videos when I was taking Algebra 1(7th grade), now I’m in 11th taking Math 130. I show your video and click immediately, thank you so much!! I understand much better now keep up the good work♥️.

  • Aurel 3 years ago

    Can I use substitution when the problem is integral of (sqrt (x^2 + 25)) / (x) ??? I cant seem to do it someone help

  • daniel Aj 3 years ago

    Good stuff

  • The voice Of reason 3 years ago

    Why does she always give me the vibe like she knows what she’s doing but only from memory

    • The voice Of reason 3 years ago

      Like where the du goes that seems a little fishy

    • Spartan Kong Country 3 years ago


  • Noah Ross 3 years ago

    Extremely helpful! Thank you!!!

  • Ruguoser Liegise 3 years ago

    Legend says if you watch closely, she’s doing some math on the screen.

  • Medical Art 3 years ago

    Oh man, DC’s universe went so bad…
    Wonder Woman had to become a math teacher 😣

  • Ben Schreyer 3 years ago

    you know its a calculus video when you need reminders about adding fractions

  • Adbeel Lopez 3 years ago

    I kinda really love you rn

  • Adbeel Lopez 3 years ago

    I recommend you listen to this video in 1.25 speed

  • Artistic man 3 years ago

    hi nanci how are you

    maths trick

  • Aira 00 3 years ago

    Thank you miss Nancy!! Your teaching and explanation helped me a lot!

  • Dave Bobier 3 years ago

    How the fuck can she write backwards and solve integrations??

  • Neerod Hoickti 3 years ago

    Thanks Nancy pls make more vids am now a calculus nerd♥️😇

  • Kyllo Brooks 3 years ago

    Thank you for the detailed explanation.

  • AJ wolf1 3 years ago

    2 months of calculus i still dk what in the world is it .

  • Florina Ling 3 years ago

    I really want you to be my lecturer. Been watching your videos since 2 years ago till now. super helpful!

  • Akash Chaudhary 3 years ago

    Thanks mam for this video

  • leslie butler 3 years ago

    thank you sooooo much for making this video!!

  • Vignesh Kamath 3 years ago

    What if you have two terms in the integral where you’d want to substitute with u (e.g. e ^ (something) + (something else) ^2) – which one do you choose to substitute with u?

  • burhan shah 3 years ago

    You are an Angel of Maths. Thank you

  • J G24 3 years ago

    A tutor and a wife

  • Alexander Azar 3 years ago


  • Scott Heath 3 years ago

    ummmmm… I love YOU.

  • Cameron Gaines 3 years ago


  • Kristy Wilday 3 years ago

    “U” substitution because “You substitute” and you can be abbreviated at “U”. Makes the most sense.

    • Warc Arden 3 years ago

      Kristy Wilday ok boomer

  • Ridzky Asdi 3 years ago

    how come she can write backwards?

  • Will Schneider 3 years ago

    Great video Nancy, thanks for the help!

  • Josue Castillo 3 years ago

    wow, you totally saved my life. I have a final next week and you were able to teach me what my favorite tried to teach us for weeks. !!!

  • Kurei Wekmara 3 years ago

    Ms please can you put up the vedio of definate Integral now

  • Razan 3 years ago

    no one explained it as you did

  • Brandon 3 years ago

    For the last one would 1/2cos^2 x also be right?

  • Jesus Jesus 3 years ago

    Damn 🥵🥵 starting to like math now

  • Brian Hagopian 3 years ago

    hey 🙂

  • Blutzeugen 3 years ago

    could you make a video for u substitution of definite integrals?

  • Peter Mutisya 3 years ago

    woow, wonderful tutorial. am grateful

  • Shuang pogi 3 years ago

    Im inlove ❤️❤️

  • Jose Luna 3 years ago


  • ViribusUnitis1981 3 years ago

    quite helpful since you dont skip any step, even the ones normally considered trivial by others. i liked the idea with the glas plain. i am wondering how it would be if you recorded the vid not writing in mirror ways and then flip the video on the y-axis in the postproduction? sometimes it distracts that you are a cute girl, but well thats part of the show i guess 🙂 anyway – good presentation with a good range of examples

  • Jyoti Maind 3 years ago

    Heheh. ….i learned this in my high school only…oh by the way im indian😁

    • MegaFred87 3 years ago


  • Redhwan Hamid 3 years ago

    hey Nancypi.
    which app you use for this video

  • Keena 3 3 years ago

    If only my professor explained it like this I wouldn’t be struggling lol

    • Jon Abrahams 3 years ago

      Well now you know where to come when you’re confused!

  • Hamza Ownage 3 years ago

    Please make more videos about integration. Love your vids btw.

  • Gaming Central 3 years ago

    why does du integrate to c ??

  • Venci cekov 3 years ago

    Yoo she is realy fucking good. Made it sound so simple. And She is hot af, i would deffinatly like to be her studybudy.

  • sanford parks 3 years ago

    she is terrific ,,,,,

  • Vikram Rabha 3 years ago

    Aise teacher mile tho ek din bhi class miss na karu

  • Fatin Batrisyiaaa 3 years ago

    i know it’s 2020,but still NancyPi is my girl crushh ..omg u r so amazing!!

  • OffShock 3 years ago

    she’s writing backwards from her perspective??? how is she so skilled???! what!!?

  • N E M O 3 years ago

    her smile and method is really beautiful <3

  • NukePizza 3 years ago


  • NukePizza 3 years ago

    1.25 speed bois

  • Muhammad Zakirya 3 years ago

    to solve the integration of |x| ……plaze to day is my paper

  • TheBanish3r 3 years ago

    I keep looking at her and become unable to study

  • Vtechster YT 3 years ago

    I am getting distracted.

  • Robin Araf 3 years ago

    i set up my eyes for 25 mins on this girl not her math

  • Papai Cub's 3 years ago

    Just wonderful

  • Five 3 years ago

    Ok actually, this was very well explained

  • RawReviews 3 years ago

    We meet again Nancy.

  • Mike Jouhari 3 years ago

    So perfect!

  • Zubair Khan 3 years ago

    love how you write on board its not easy

  • Ankit Kumar 3 years ago

    Please make more video it really helps me

  • 9 years ago 3 years ago


  • aran kathir 3 years ago

    daym she has good backwards handwriting

  • Samuel Gilstrap 3 years ago

    great vid

  • José David Villalobos 3 years ago

    I just can’t concentrate on her explanations because I concentrate on her face, especially her eyes.

  • Me Thinking 3 years ago

    5:45 Can someone explain why its (U) to the 7th power

    • Hussain Aladwan 3 years ago

      cuz (x^3+5 ) was raised to the 7th power and now its equal to “u” so when you put it back in, it becomes u^7

    • Me Thinking 3 years ago

      Hussain Aladwan oh shit, thanks 🙏

  • Ryan Degala 3 years ago

    nc really helps me to understand.

  • Bob Ross 3 years ago

    Please marry me

  • Hehe Miao 3 years ago

    Such wonderful explanations!! Thank you!

  • Hehe Miao 3 years ago

    Oh you are so good at explaining this! Kudos to you!!

  • Rakesh Ra 3 years ago


  • Richard Osborn 3 years ago

    thank you

  • Pedro Custodio 3 years ago

    I do like this stuff but sometimes I can’t help but laugh at the ridiculousness of how to arrive at an answer. I wonder if the pioneers of this stuff did this on purpose…. hey Larry let’s make it like this to just see people sweat while we get a kick out of this. LOL

  • john webb 3 years ago

    Thanks Nancy for your priceless guidance. Best Wishes .John.

  • jlobe3159 3 years ago

    This is the best thing I’ve ever watched

  • Chris Ramirez 3 years ago

    You are the reason why I am going to pass Cal-II

  • Innobee Thom 3 years ago

    Hello Nancy I have this problem and I need your help: integra x^3(1+x^2)^3/2 dx . Thanks

  • InoNOheart 3 years ago

    thank you for these videos you saved me!

  • Vaiebhav Patil 3 years ago


  • Vaiebhav Patil 3 years ago

    I was solving integration problems from my book and lost a few hemispheres of my brain and burst it into a million pieces. Thank you.

  • Gillian Major 3 years ago

    I love your videos! They always help me so much on my exams!

  • Vineet Honkan 3 years ago

    I’m going through a book right now titled Mathematics for Physicists…it discusses on Substitution of Variables (which comes from the chain rule). Is U substitution the same thing?

  • R.E. Lamb 3 years ago

    learned more in 5 minutes than from a week of lecturing by my utterly worthless professor

  • Brian Tran 3 years ago

    hey, youre pretty, i think im cute, together we could be pretty cute

  • Alexa Manite 3 years ago

    Thank you very much, I’ve learned a lot from you. 🙂

  • gregory verbrugge 3 years ago

    how calculate primitive of u'(x)/sqrt(1+u(x)^2) without using theorem of hyperbolique (sinhx coshx)
    thank you of your help

  • nothereforlong 3 years ago

    Gosh, she sure is beautiful. Smart, too. 🇨🇦🌹❤️

  • Clifford Williams 3 years ago

    “Why is it called U substitution? Well, no good reason as far as I know…” Classic NancyPi!!! <3

  • Ber Aer 3 years ago

    Oh my god
    Guys I’m falling 🤤

  • Albin Sopaj 3 years ago

    I really enjoyed your videos on Integrals. Great help.


    Nancypi, you’re the best teacher, I have ever found… 💪💪👏👏👏👏👏

  • Chouikh Skander 3 years ago

    Best teacher ever ,your explanation is so smooth 🥰 you helped me alot

  • bumboni 3 years ago

    > differential must be at the end of the integral.

    but that’s just a convention isn’t it? i mean 1) i saw formulas on wikipedia that had differential at the beginning of integral sign..
    2) it’s just a multiplication anyway. you multiply function by dx and integrate all of them.

  • Maaz Rajput 3 years ago

    Can I Integrate you in my life 😍❤

  • John 3 years ago

    Thank you!

  • marlow sudbeck 3 years ago

    I swear to god she has the voice of an angel

  • para sf 3 years ago

    Sexy want you

  • Somya Dwivedi 3 years ago


  • keila 3 years ago

    wish I had seen this before I failed my calc test with an 11/90 dfnjncqwlwefmoief

  • Trax 3 years ago


  • random music 3 years ago

    This video replaced 3 years of high school.

  • boy blue 3 years ago

    This is so awesome, the way you break things down make it so much easier to digest and actually memorize. Thanks!

  • Rand 3 years ago

    You’re amazing thank you!

  • Kenneth Joseph 3 years ago

    Thank you for the simplicity

  • mark batiola 3 years ago

    very nice and very understandable for the beginners like me.

  • Ujjwal Hindal 3 years ago


  • Bleedingreen 3 years ago

    Why does her integral sign look like as S

    • Didrik Pettersen 3 years ago

      Because the integral sign is really just a fancy S. “S” for “Sum” (of an area beneath/above a graph to the X-axis)

  • Unfortunat3Gaming 3 years ago

    I could not seem to grasp the concept of u-substitution until I watched your video. Thank you for the great explanation.

  • Gio Gio 3 years ago

    No, I did not find “u”. But I found you

  • Muhd Syukri 3 years ago

    Hi, I’m from Singapore and i just want to say that ur vids help a lot 🙂

  • Alexander a Lopez 3 years ago

    I just realized she can write backwards 🤯😳

  • random music 3 years ago

    Love you

  • MarioDeSanta97 3 years ago

    She is easy on the eyes

  • Anamille N 3 years ago

    Did u use green scree on this vid?

  • Cristina Hernandez 3 years ago

    thank you! i finally understand fully what to do with du!!

  • A Mathew 3 years ago

    Also done by the substitution 1-x^4 = u^2 , 4x^3 dx= 2u. du

  • zeenat malik 3 years ago

    O thanku sooooo much . Your videos always help me 👏👍

  • Alisha Majid 3 years ago

    Love you.You saved my Entire semester 😜❤️🙊

  • Carrius 3 years ago

    U (addressing the teacher not a function) wrote everything in mirrored style (on that glass). Doesn’t this turn into a bad habit? And ur left handed.

    • BounceZ 3 years ago

      Or she’s right handed and writing normally and the video is mirrored

  • Famous Anime Fights 3 years ago

    NancyPi saved my midterm today. Thank you

  • Calvin Marshall 3 years ago

    Many thanks. I have gained a deeper understanding of integration via u-substitution as a result of viewing this video.

  • Jimaale jillow 3 years ago

    Nancypi I love you ……

  • sukumar gs 3 years ago

    She is so .cute

  • Colby Elisabeth 3 years ago

    You guys are gross she gets so many creepy comments just because she’s a woman and does math, are you guys literally kids? Stop leaving creepy comments and do your homework

  • Mbata Junior O 3 years ago


  • student 3 years ago

    Thanks alot

  • San Der 3 years ago

    This legend writes everything backwards on the board so we can see it in the right direction.

  • Bahar Osman 3 years ago

    Her good thing is that she first says what is actually the subject talking about then explains it

  • P H I L I P 3 years ago

    Ilove the way she is

  • AT Smooth 3 years ago

    thank you very much. This was very helpful 🙂

  • Eric Mwangi 3 years ago

    Nancy you are super amazing. When someone is such an expert in Kenya will call him/her Fundi. Fundi Nancy! Thanks a lot!

  • Ahsan Ishtiaq 3 years ago

    great video it helped alot in understanding thanks

  • Alwaz Ali 3 years ago

    can you make a video on kinematics ,vectors, AP and GP

  • Xx_Medo abo Elfetoh_xX 3 years ago

    you are a great teacher, for me . iam at harvard stem

  • I am mary MA 3 years ago

    Support me guys💕

  • Joachim Spoendlin 3 years ago

    Who else has watched this video because of the math

  • Mr No-one 3 years ago

    DU believe in Love

  • Kamdalur sumanth8558 3 years ago

    How can we solve the problems in case of logarithmic integration

  • angel nyla 3 years ago

    can u plz make a video for complexnumbers,argand digram too?

  • ame bi 3 years ago

    Omg you are writing in mirror, you are so amazing 💓💓💓

  • Brahim Elmarrakechy 3 years ago

    At the end u could changed that 1-x^4 power 1/2 to just square 1-x^4
    Than you btw for your amazing explanations .

  • Adithya Karthikeyan 3 years ago

    Kinda new to calc here but , what happened to the square root of x plus 2 at 22:25?

  • Don’t worry it’s not a hair 3 years ago

    She is hot asf

  • Ben Martinez 3 years ago

    i love her.

  • Tony Tse 3 years ago

    Oh my god. TMR is my exam and I learn integration in one video. Thank you!!!!!

  • Miss Fortune 3 years ago

    Nancy, thank you so much for saving my sorry butt again. You got me through calc 2 three years ago, and now you’re helping me review for Calc 3, Intro to Linear, and Statistics for ECE. Love your stuff – very clear, very concise, easy to understand. You might just be the only reason I get through this hellscape of a term.

  • Joy Ugo 3 years ago

    Nancy pi,you are god sent

  • alaa alaa 3 years ago

    Thanks teacher

  • Luxor 3 years ago

    Love how she’s laughing at 5:52 because she has covered the pink one from the wrong side.

  • crystal.pepsi 3 years ago

    guys she’s literally writing backwards

  • mastgmc 3 years ago

    How Do you write backwards?

  • Aditya Panda 3 years ago

    Nancy is the whole package- smart and pretty!

  • Aaron Damian 3 years ago

    Thank uu😭

  • Eligio Antonio Colmenares 3 years ago

    Hi Nancy

    Great explanations. Can you please let me know what you are using like blackboard, please. Thanks in advance

  • Cameron Shirts 3 years ago

    This was the first time I ever understood u substitution. I’ve been taught it at least 5 times but everyone else moves wayyyy too fast. Thank you for helping me out!!

  • Mathematics school 3 years ago


  • Me Forever 3 years ago

    Focus on maths, not her. 😉

  • Augusta Yarteh 3 years ago

    My dear Nancy ooh boy. I was working on this problems all night till today. I did that way, I was working on it. I just like to listening to other people explanations that all. From other professors or professionals. I am resting my mind for some time before i finish my work. Our professor gave us 30 problems to work on it systematically. I have done half of my work. Let me just keep on listening to you attentively.outstanding explanations. Sound video to watch quietly.

  • nickrd182 3 years ago

    Does anyone notice that she is writing backwards this whole time?

  • Pfariso Ungedzani 3 years ago

    25:48 u lost me there, why do we have to add the exponents if we are breaking the brackets,is it not that u*u to be power half was suppose to give us u to the power half * 2. Pls help me out I’m lost

  • Dorotea Ivanković 3 years ago

    Our math professor is great but due to corona we can’t go to school and he’s not explaining anything anymore, just telling us to look at the textbook and figure it out ourselves so you are literally my saviour (even tho is so weird to study maths in english lol)

  • Johnny Breemo 3 years ago

    Nancy you somehow are able to make even the most complex subjects easily understandable. That is a great gift. Well done.

  • Nicholas Champagne 3 years ago

    Hello Nancy, I tried to teach myself college algebra and calculus.
    I was not as successful as I thought, but because of your videos, I am.thanks
    Your videos are excellent

  • Tripto Pal 3 years ago

    If we I do not do substitution then Integration is too hard ( time taking process ) for me.

  • Raffay Ali 3 years ago

    I had exam in 2 hours. Unfortunately, I started watching your videos and now I’ve missed my exam.

  • Zareef Raheem 3 years ago

    i have a question
    why is 3×2 disappears in final answer ? i thought it should have changed x3 multiply final answer ?

  • mattapaw 3 years ago

    i think for the second example ,it should be u ^ 3/2 not u ^ 1/2 because 1/2+ 1 is 3/2

  • Math hacks with mamun 3 years ago

    Too much eassy

  • Mohamed Ayman Errahmouni 3 years ago

    x2 speed is perfect

  • Math with RS 3 years ago

    very good videos nanci

  • Victoria Hinojosa 3 years ago

    You are an angel from heaven, thank you so much

  • Syed Faisal Ali 3 years ago

    Thanks again Nancy… Good mental maths and revision during quarantine. Best wishes for your health and safety. Thanks

  • Sam Pinsky 3 years ago

    Very good video explaining u sub. I just have one question, may I simp?

  • Aryan Sinha 3 years ago

    Love from india!! Really loved it…came to learn very easily… mehodology of teaching this type of complicated stuffs….which is not so now….😘

  • Zeinab Alemeh 3 years ago

    thank you so much you really helped understand it 💖

  • Eric Fricke 3 years ago


  • Anuja Ariyaratne 3 years ago

    How tf she write backwards

  • Alex C 3 years ago


  • Ricardo Pietrobon 3 years ago

    Very helpful, thank you

  • Jack Rotter 3 years ago

    Nancy you are awesome at teaching! Especially during this pandemic and with online school! I hope you have calc 2 videos so I can watch those next semester!

  • Nozim Umatillayev 3 years ago

    You are very good teacher Nancy and by the way so attractive. I love you so much

  • Student Account 3 years ago

    I am confused . What should i complement : your teaching or your princess face

    Well… i guess i will complement both

    BTW thnx for such an amazing video

  • Italo villanueva 3 years ago

    you should be my teacher ’cause you’re so pretty.

  • Romit S 3 years ago

    I love your videos. in this case however, you could have assumed (1-x^4) = u^2 . Would have made the substitution even simpler.

  • Martin Arthur Fleming 3 years ago

    I wish I could have had a babe like you for a math teacher.

  • Malayia Ellis 3 years ago

    Thank you! You are very skilled and passionate with what you are doing! I hope you continue to grow and prosper (not just financially) in many different areas of your life.

  • R&D official 3 years ago

    so hard to follow because i had to stare at you – pls hide your face…rly

  • Zac Jones 3 years ago

    @NancyPi Is your camera in front of a mirror? If not do you find your self indiscriminately writing backwards in your everyday life? (I really like the idea of you honing your reverse writing technique to the determent of normal transcribing, keep it OG)

  • Nicholas Grammatopoulos 3 years ago

    I came for maths, I stayed for her.

  • Shahab Besharatlou 3 years ago

    All I have to say is, Thank You!

  • MANYA MISHRA 3 years ago

    Thanks NancyPi. You are 50%the reason why I understand whatever I get stuck at in terms of calculus. U and Eddie woo are the saviours whenever my calculus boat is sinking

  • Titan Warrior 3 years ago

    Anyone else here for the AP tom?

    • Abbey B. 3 years ago

      Titan Warrior I’m dying

  • john webb 3 years ago

    Nice one Nancy. Best regards John.

  • Em Ferrarem 3 years ago

    Ur so hot Nancy 😘😘😘

  • Imran Aslam 3 years ago

    Thanks soo much maa’m you made it really easy and your way of explaining is quite remarkable it was the first time when i watched your lecture but now i will follow your other lectures as well hats off to you maa’m ..,,

  • Don Bobby 3 years ago

    i cant focus she’s so damn gorgeous omg

  • Zoonofski 3 years ago

    Just bloody brilliant!

  • Joshita Vinanya 3 years ago

    Nancy, I love all of your videos. They have been very helpful to me. I hope you can make more videos. Thanks.

  • Muhammad Dani 3 years ago

    Wow, you left handed and write behind transparant board, super brainiac

  • Jose Waldier 3 years ago

    Omg. So clear. How I would like to have you as my professor than my indian professor that i slightly understand him

  • Isaac Nyarko 3 years ago

    I really enjoyed the tutorials. Substitution made easy

  • asmaa alqaisi 3 years ago

    she is so cute

  • AYAAN ASIR AHAMED 3 years ago

    you teach as beautiful as you are. love u mam pls keep up uploading videos like this

  • Nouf 3 years ago

    I wanna integrate you into my life💘

  • matar mbe 3 years ago

    Nancy are you married? I’ve got a kindom in Africa, but we don’t know anything about integral bread. Would you like to come over to show us the truth?

    • Ken Meyer 3 years ago

      nigerian mafia, eeh 😉

  • Timothy Nkemba 3 years ago

    God bless you Nancy

  • Alyssa Perkins 3 years ago

    Thank you so much! You videos are so so so helpful! Keep it up

  • Shayan Tanweer 3 years ago

    I don’t know why i was smiling through the whole video looking at my screen

    Not being a simp JUST a JOKE

  • Toprak Soil 3 years ago


  • left zuo 3 years ago

    how can you write in an opposite view by your left hand, you must be a math master!!

  • Gerry R 3 years ago

    I really understand your teachings pls keep on with the hard work I personally appreciate your efforts

  • Andrew Henin 3 years ago

    Can I integrate “u” into my life?

  • Tanishk Tripathi 3 years ago

    Trust me if i get a teacher like u i’m never going to miss a single lecture

  • Dharshini V 3 years ago

    Did she write it in a reverse way???😲😲😱

  • Maria Cristea 3 years ago

    Omg I love you you are the one

  • Arnav Agarwal 3 years ago

    Proud to be the 1000th comment!

  • Kiyotaka Ayanokōji 3 years ago

    Thank you this really help me understand my assignment. Greatly appreciated.

  • Dadan Ramdani 3 years ago

    were she my lecturer, I’ll never skip a single class.

  • Akindu Kalhan 3 years ago

    Nancy it would be nice if you could do a video on ; Partial Differentiation

  • Poorva Khare 3 years ago

    Pretty Awesome

  • SANDHYA SRIKANTH 3 years ago

    I recommended you to so many of my friends because GOD YOUR TEACHING SKILLS ARE AMAZING

  • tuncay batur 3 years ago

    You are beautiful and smart, you are a beautiful teacher

  • Atul Kumar 3 years ago

    First of all i wanna thanku, thanks a lot for making this video, thanks a lot for existing, thanks a lot for what I don’t know, to say thank for what 😅🤷‍♂️ ??
    This is the first video I have seen on your channel and this explanation is how mind blowing. But I think you are not feeling well, your voice is saying, do you ??
    This is not a criticism (so please do not answer me, saying that you are one of those who criticize everyone, no matter what they do well for you), indeed I ask this question because I care about her.

  • theultrazp 3 years ago

    Min 7:00 Why at 8 power it is no 2 power?

  • Pramila Amirthalingam 3 years ago

    Best teacher .wow

  • AKK47 Fact 3 years ago

    In India it is

  • Yash Daryani 3 years ago

    Thank god she’s not my teacher in school. It doesn’t matter if she is amazing at teaching, she is so pretty that I can’t concentrate!

    • Ken Meyer 3 years ago

      wait until you are 80 and you won’t care anymore

  • Ken Meyer 3 years ago

    I really like the sound of the sped up marker

  • Rahul Singh 3 years ago

    If she was my Maths teacher I’d pay attention in class 25/8

  • Potsinim 3 years ago

    4:09 “Oh, You want to find me?” *WRYYYYYYYYYYY*

  • Ian Casey 3 years ago

    Girl, you’re very good!
    You should be a university professor!

  • Ian Casey 3 years ago

    Normally math teachers look like math but @NanciPi looks like art!

  • Dun 3 years ago

    All this time Nancy has been sitting on the right side of the screen, but we get to see her mirrored side on the left … Mind Blown!

  • News in 90s/ الاخبار في 90 ثانيه 3 years ago

    u are my U-Substitution

  • Shiela Mae Balaquit 3 years ago


  • GOD'S FAVORITE 3 years ago

    Idk…but she is fine asf…I’m in love…Lol…I want to learn math everyday… =D

  • Named 3 years ago

    I would cook her the best food every day and she would never want a substitute because she would always have the real thing right beside her.

  • CityLights 2 years ago

    hi nancy 😀

  • CityLights 2 years ago

    thanks nancy im sleeping rn but ur lovely :DdDd

  • melaku tarekegn 2 years ago

    Your work and you yourself are too beautiful.

  • Juan Villota 2 years ago

    I would have skipped have of these steps….and that’s exactly why I could not teach to save my life

  • shoaib ahmad 2 years ago

    Wow you are amazing mam.and your maths is really excellent 👍. I’m fan of your maths

  • YTE Learning 2 years ago

    A magician and a magnet who keeps you to stay for learning. Great and a pretty teacher. Well done.

  • Zaob Min 2 years ago

    Are you behind a glass and writing backwards for our perspective or what?

  • Sheila Makena 2 years ago

    I have spent like 3 weeks trying to decipher substitution and Alas all I needed is this video. Thank you Nancy.

  • MN Naim 2 years ago

    Wonderful ❤❤

  • Mustafa Asaad 2 years ago

    حيدر وليد لديكم لا خوف عليكم

    Haider Waleed 😃💙

  • wb5rue 2 years ago

    Where were you when I was taking calculus? you probably weren’t born yet. 🙂 It’s been 40 years since I took Calculus in college and you’ve really helped me explain stuff to my son who is taking calculus. Thank you so much!

  • ANDREW PERDIKIS 2 years ago

    Such a beautiful girl!! 😍😍

  • One Tryck Poni 2 years ago

    Nancy is a wizard.

  • G William 2 years ago

    got to be the best, well paced and air tight explanation Ive ever heard. I love how she pauses and talks slowly.

  • Ana K 2 years ago

    So helpful and well explained! Major thanks

  • DemoLogic Tung 2 years ago

    Imagine if she were writting eveything backwards; twice the difficulty, haha; btw thanks.

  • Junior Frederic 2 years ago

    Thank you.

  • al gore 2 years ago

    math gf

  • Aditya Bhardwaj 2 years ago

    Wonderful teacher

  • TomFilms 2 years ago

    At 15:36 there is an error ( in case people are confused) she should divide by 2 not multiply by 2.

  • Andrew Sung 2 years ago

    epic teacher

  • Mark Rodriguez 2 years ago

    Sham this chick doesn’t have children the gene pool is only getting worse

  • Ishaan Tayal 2 years ago

    U re beautiful

  • Wijdan Architect 2 years ago

    I am used to watching your videos after each class to understand calc lessons. You are the best calc teacher! Thank you so much!

  • AT Shiva 2 years ago

    I feel like she is using hypnosis to make me focus on maths

    • Takyrica Styles 2 years ago

      😅😂 is that why I’m watching her videos even though I need the math for nothing? 🤔😂🤦🏾‍♀️🤷🏾‍♀️

  • R3DMSL 2 years ago

    You are my HERO !! <3

  • Sakshām Misra 2 years ago

    You r beautiful and intelligent ❤️

  • matematikle savaşma barış 2 years ago

    So useful thanks

  • Krishna Das Midya 2 years ago

    Pl write in more bold figures & keep the calculation on the screen for a few seconds more.

Comments are closed.