MIT grad shows how to integrate by parts and the LIATE trick. To skip ahead: 1) For how to use integration by parts and a good RULE OF THUMB for CHOOSING U and DV, skip to time 2:46. 2) For the TRICK FOR CHOOSING U and DV (the LIATE memory trick) skip to 10:12. Nancy formerly of MathBFF explains the steps.

Follow Nancy on Instagram: https://instagram.com/nancypi

Twitter: https://twitter.com/nancypi

WHEN to use INTEGRATION BY PARTS: If you have an integral to evaluate, and you don't already know how to integrate it, as is, then see if you can simplify it somehow with algebra. If not, try doing a substitution, like U-Substitution. If U-Substitution does not help, then you may need to use the INTEGRATION BY PARTS formula.

RULE OF THUMB: The first step to use Integration by Parts is to pick your "u" and "dv". As a general rule of thumb, whichever factor in your integrand gets simpler when you take the derivative of it, make that your u. Then make the other factor your dv (and include the dx in this dv). Note: This works if the part you chose for dv does not get any bigger or more complicated when you integrate it. After you've picked u and dv, then find du by differentiating u, and find v by integrating dv. Finally, plug everything into the integration by parts formula and simplify.

TRICK: You can instead use an acronym memory trick to choose the right "u". The acronym LIATE stands for Logs, Inverse trig functions, Algebraic functions, Trig functions, and Exponentials (in that order). If you follow those letters, LIATE, in sequence, whichever type of function you find first that you have, make that your u. Then, make the next thing you find your dv. Once you've picked u and dv this way, the steps are the same as above. Find du by differentiating u, and find v by integrating dv. Then use the IBP (integration by parts) formula and simplify for the answer.

For more of my calculus and math videos, check out: http://nancypi.com

Yasss perfect timing 😩🤯💯😭💞 THE LIATE trick works wonders 😂🙈

ILATE

ILATE OR LIATE we can use both

@Anshul Kumar Which one to choose as “u” when you have log and inverse trig in the same problem?

@ashish gupta use ILATE in that case….but u will get same answer by LIATE too…..just a bit complex and some rearrangement needed😉

You actually saw my comment ! Thank you so much!! I’m having trouble with these.

🤓gl!

@NancyPi hi

@NancyPi its great experience of learning nanxy love you

@NancyPi In Liate when should we give integers or coefficients priority? Thank you

Hey! Can you maybe do a video on IVT (Indermediate Value theorem)?

Unknown good one

This is the calculus I was waiting for 😊

Can you please take us through integration of partial fractions?

Thanks 🙂

Can you make a video about Laplace??? 🙂 THANK YOU!

hell naw!

coming in clutch for Calc BC at JUST the right time.

Cool

Thank you Nancy

Nancy Pi, I can see that Nobel prize getting closer and closer >:)

Never knew you were back, just got back into school and couldn’t be happier. Feel like a weight was lifted off my shoulder

Omg thank you so much for this video Nancy! I have a test tomorrow and I legit was crying over integration by parts so this is perfect timing #queennancy

Omg I love you!!!

This explanation was the best , thank you 👍

plz do videos about calculas 2

Starting Integration by parts Monday thank you 🙏🏻☺️

great video

Right before my first midterm. Thank you Nancy, really appreciate it:)

Can you please teach us integration by partial fractions? Thank you so much

what’s your career?

@moied mehri MF calc class my man

nex video of mine will be integration by partial fraction

I have a lot of examples in the “Integration by partial fraction decomposition” playlist in my channel! 😉

I like Math AND I like your videos!

I wish my teacher was so pretty 😍😍😍

SidRoy TV hhsuguvhvhjdguuvhr

This!!

Oh shit that was what i am thinking

@Brian W. Great minds think alike 😂😂

Your face muscles must be paining after smiling that much…😂

I am begging you to do calc 3 videos, I am struggling

I have an exam on Integration next week ! Thanks for this one ! I was waiting for it 🙂

Koooooooi Nancy

The fact that this was uploaded on the day of my quiz on Integration by Parts is crazy. Just what I needed!

Just in time for midterms, thanks

Sequence and series next video please

Lefty???

YES!! I NEEDED THIS

Just started today

Yes good stuff. I saw your video under integration by parts, and I just had to check it out, thank you for this.

Pls make the video of finding the range

the best method is the: “D.I. matrix, check BlackPenRedPen videos and thx my later 😉

I wish i could have a gorgeous teacher like you…..

I need a teacher like you.. 😄😄😄

Preetam Rawat It’d be hard to concentrate on the math with such a sexy teacher!

You are looking great as always. Stay happy and whenever you feel sad, always remember that you are the reason of many smiles around the world and joy, your viewers get from your videos and getting benefit from the knowledge you are spreading.

shes hot

Whoa, Nacy, this video is dated Sep 12, 2018, like WTF. I’m used to see you in year 2014 or something.

YOU ARE BACKKKKK!!!! OMG JUST WHEN I HAVE CALC II EXAM IN TWO DAYSSS!!!!!!

“Time for some nancy pi”

That doesn’t sound right

Idk, sounds perfect to me! 😅

Yay totally fine to understand it but….. What about if we have two same type of functions like X³√x-1 to integrate ?

Don’t smile. Can’t concentrate!

#firstworldproblem.

She’s too pretty , I sure hope she has a bright future ahead of her.Brains and beauty you’re a beauty pageant meant to be.

Can’t agree more

Dude let her smile … Look how beautiful she is 😍

haahahahahahaa!!!!!

*#weirdosproblems

May you please do a video on partial on improper integrals and partial fractions. I love your videos so far and I would love to learn more to help with Calc 2 since ive been out of school for 3 years

I was given in Calc class an “ILATE” rule, I’m surprised she said LIATE, Well, I guess several rules work out perfectly. Thanks for the video, It was really nice!

Hi Nancy, I just have a question. If the derivative of e^x is e^x then why wouldnt I want to choose that is my U?

Pleeeaaassse do a video for trig substitution and partial fractions……….thank you…YOU’RE AMAZING! 2 WEEKS of confusion resolved in less than half an hour!

wow, i have an exam on this in 3 hours, all other youtube videos fucking suck at explaining this bullshit, thank god you posted this, 8 days too which makes this even more lifesaving!

Thanks. Math is always easy with your tutorials. Please make a video on trigonometric substitution.

Girl what the hell is this? I’m lost 😂😂😭😭

Hahaha me too

Hi nancy, great video, many would probably ask for video how to integrate by parts twice. Can u make video about that time 13:15 for example please?

Is a hot girl teaching me math? is this for real??

This brought a smile to my face:) Welcome Back Nancy!

I love you !! thank you fr

shit! that’s not fair cuz she is beautiful and I’m just paying attention to her, not on questions,sorry cant learn math in this situation

perfect timing, I learned this a week ago yet still don’t understand it. thank you Nancy!

thank you. i have seen the light

me to ! the day you commented!

Nancy! You can see the future, you knew thousands of us would be learning this method about this time this semester! Thanks! Can you go over Partial Fractions? The future is bright!

I love your videos! I just started to take Calc II. 😀

you are the best, never stop teaching, please!!!

Nancy you are amazing.

Sexy

Do you write inverted when making these videos?

Your lectures are so amazing Mam. Thank you so much for your precious time for us.

#Pakistan.

NancyPi is the perfect name for you… because I could listen to you go on forever!

Hey can you please make videos on probability

i wish you were my lecture which you are since i only hear you

Would prefer an answer to why instead of how. I didnt crack it. Great video 🙂

Found a proof an answer. 🙂

Dont know why I didnt see this

Thanks very much for settings me in motion

Actually one of the most helpful IBP vids. Let me get them digits though lmao

You make me like math

🙄

🙄 simp

🙄

🙄

I always feel relieved when NancyPi has a video on the topic I am working on.

I love you I wanna meet you

I love you !!! 😍😍

Nancy how do you use clear screen?

Amazing

Thank you dear

Good trick of LIATE

Thanks Nancy

Shes that hot teacher that ur middle school self would have a crush on

I have a crush right now

What about integrations with upper and lower limits?

My hero.

@NancyPi thanks !

Life changer 😭❤

What if the X is ^-3 for example, it’s still an Alg, but do you still pick it for u ? integration of x^-3 sine x <-- for example.

Thx

I know nothing about any of this. I listen because of the logic in your conversations…

Hey Nancy ! When you will teach permutations and Combinations

It’s pretty impressive to realize that you’re writing in mirror.

she probably just flipped the video lol

@Ace Conan yup

Sorry, but duh

tbh she says some funny stuff which i laugh at but she moves on so quickly. Would math videos be better with a laugh track??

my math teacher in college used to joke 15 mins in a 45 min class. he one days explained the reason is: when a teacher teaches a complex thing to the class. the students brain concentration capacity keeps falling as time passes by. and sometime students will stop listening to him cz its not making any sense to them at all. so to recapture their attention and also to refresh their mind he would often pop jokes. he used to say that: if I lecure the whole 45 minutes and only 10 percent understands the whole thing then the whole 45 min is a waste. but if he can make us understand about 70 percent of what he said by joking for 15 minutes then the whole 45 minutes of the class is a success. not to mention all his jokes were phylosophical or real life based lessons wrapped in humour so those things teaching too which gives motivation to make us what we are today and helps a lot in the long run.

Why can’t all the math tutors look like HER?!!

Kudos, great teacher,simple and clear explanation..

is there a video for integration by parts “twice”, that you mention?

That’s numberwang!

i like yo call it *I LATE*

l wish nancy to be my lecturer and things will be easy fo me

woahh this is the chillest tutoring session, I learned so much. I love this channel where has it beennnn???

How do you write like this can you please tell me ??

I love your videos!! I’d love it if you did another q and a video. You’re very funny and witty! 😆

thanks NancyPi

she said i am clever 😌

Math goddess

Can you do gradients and double derivatives

Our professor didnt inform us about the LIATE…. hmmmmm thank yoouu!!

LIATE LOVE IS ALWAYS TOO EASY

does the “liate” trick always work?

Teach more complex problems please..

Thanx from iraq ❤

You should do a video on Simpson’s rule & the trapezoidal rule ! 😀

Literally one of the best math videos I’ve ever seen

thnx Nancy. greetings from turkey love and respect

Thank you <3 form KSA 😀

it helps :)))) but it is kinda draggy. thank you :))))

Yeah, definitely an in depth video and easy to understand. Feel like it took a while to get to the meat of the concept though

U can factor out e^x out

You forgot the di method my fav

Very educating, thank you. i was wondering if it would be wrong to factor out an e^x for the final answer?

I usually never click on your videos but decided to click on this one because all other videos didn’t seem to explain well and I’m honestly glad I did!!!!! will be prioritizing your videos from now on :’)

KKKKKKK……I NOE IT SOUNDS ALL CONFUSSING BUT THAT IS BECAUSE IT IS

You don’t have to like math but you can subscribe and like my video yay 🙂

I don’t have words to appreciate your teaching it is really remarkable thanks teacher.

Your videos are extremely helpful, thank so much, God bless, and I really hope you continue making videos.

I owe you my next semester’s calculus exam..LOve you ma’am ..I wish you were my teacher

Most beautiful teacher

i like that

Puedo entenderlo porque hablamos el mismo idioma de las matemáticas v’;

Great vid, but I still can’t wrap my head around e^xsin(x). How the hell do you know when to stop?

Whenever it starts repeating itself or whenever u see the question again

i have an exam including this. this videoo helped me both learn and disstress a bit you have very calming voice thank you for this.^^

You should do modelling as well.

First time on this channel. Good tutorial!

How do you write here? You seem to be writing in reverse and keep on taking glances at something off-screen. Just curious, that’s all.

She just mirrors the recording

Did she just write everything backwards

So we can see it? That’s sick

No, she didn’t. she just inverts the video while editing so we can read it, but in actuality, she is just writing normally.

Hey dear, you looking sick…take care of health

firstly) it is always a joy to see another left handed person being successful (unless you just flipped the video haha)

secondly) I really appreciate the TL;DR in the description of the video, very nice!

Does the liate law work for u substitution?

I think I’m lesbian

Cant conentrate with smile and voice like that 😰

i was taught ILATE, which is correct? o_O

Hello I have a question

I don’t really know when to use integration by part or when to use u substitution

I will be glad if you reply me soon ☺️

its simple… when there are 2 different functions in problems like one is algebraic and other trigonometric then you must have to use integration by parts only… always remember 2 different types of functions for integration by parts But there will be same type of functions for Integration by substitution … one function will be basic function and other will be its differentiation somehow…

L I A R E!!!🤣🤣

keep it up .

dont smile i forget to +C

so good Nancy .plz we wan t more videos.keep it up

You Look Incredible

I tried x = ln(u) / e^x = u, and found dx/du = 1/u, which can be rearranged to give dx * e^x = du, which I could sub in to get int(ln(u))du, which ends up as = e^x*(x – 1) 😀 although traditionally to find int(ln(u)) you might need integration by parts anyways… 😀

be my personal teacher)))

Can you make some content on probability ?

And also on complex numbers .

nancy your so distracting, im a young man trying to concentrate but I keep looking at your face . I was on Question 4 part b of my final exam and you came to my mind . I skipped

that question.

Watching on 2x lmao

My name is also Nancy 😛😜😜

Marry Me

Please, how is this filmed? are you writing on a mirror or a glass?

How do I do integration by parts twice

You start by doing integration by parts once as normal. Whatever answer you get as a result, you will need to pick a u and dv from and repeat the process.

@synchronium24 thanks found another video on it thanks for replying though.

you are fkin gorgeous 🙂 can you teach me some fourier analysis?

I’m not being obtuse, but you’re acute girl

Hey don’t smile

Can’t concentrate 😘😘

Can’t believe you are a maths teacher 👍👍👍

This video lack proof. That’s why I didn’t find it interesting.

DI method is perfect

Awesome

You’re great and im Sorry but i’m distracted by your beautiful voice.

Over priced coffee and math keep me happy.

Over priced coffee keep me broke

@NancyPi You tha best!!!!!

great

You make it a lot easier to watch math videos, but I also get distracted lol. Looking at your face when you smile or especially when you look into the lens makes me feel like you’re flirting with me. The camera you’re filming with is lucky.

Yeah, girl. You integrate that equation. Oh, damn she even simplifyin’ that notation. I see you.

I don’t know math at ALL but that’s not what I’m here for. 😍

I wish my teacher…

Love from India.

Your beauty distracts me!

Cannot concentrate…..

Nancy and Organic Chemistry tutor should know each other right? because they both help students a lot

That makes zero sense and no i do not agree.

How does that make sense?

I agree

@Bruh fckof

has anyone ever seen organic chem tutor? I’m very curious.

very interesting and simple explanation keep it up thanks

ouff girl can I follow you? caz my parents told me to follow my dreams.

cheers v helpful

u look happy too much nd your smile distracts completely

Thanks a lot

Nancy mam hii

…love when she says “integrand”!

On a scale from 0 to 10, you are a 12…. also, I’m not very good at math

I don’t know if it’s the pretty face, she has made me get it!!!

The writing backwards is giving me anxiety

It’s called editing. The image is flipped in post.

Thank you Nancy

kinda hard to focus… at the same time I’ve never been this focused ( ͡° ͜ʖ ͡°)

Never thought I would say this, but I want to take Calculus again

Its not so bad after you take it once lol. For me at least because I slacked a but and then thinking back made me realise it wasnt so complicated lol.

damn you hot af woooooo

15:14 You are a beautiful lier , and the first math teacher I really understand!!!

Thank you soo much you are such a big help 😍

hard time trying not to forget why I’m watching this …

Oh my god I’m in love

with…?

Totally In love with maths isnt it ???🤦♂️😂😂

with maths or nancy ?

@Sanshray both.

@Sanshray yes

you’re expecting us to concentrate ?

Would you like to be my girlfriend? 🙂

I don’t care what I like neither the calculus or your channel

But There is only one thing I’m sure…

I like you smile

So for pete’s sake

Kindly reduced the smiling

I can’t focus

Anyways thank you alot I’ve learned enough

You really *are* my math bff!

LIATE is so clutch thanks alot!

qt π

Thank you very much for the very clear explanation. Makes so much more sense now! 🙂

Nancy fookin Pi, thank you

Are you writing backwords?

I think that is I L A T E not L I A T E.

I missed your dad jokes, glad to see you back !

put video speed at 1.25 and thank me later!

my teacher said that trig was after exponential for finding u?

question ?can you give anather example about integral by parts

How do you make it look like you’re writing on the screen? That’s an interesting touch, but a mystery to me.

… I mean I *should* be focusing on my Calc 2 homework but now I’m curious.

Jeez your video makes it so simple, plus you don’t skip steps like my *cough* COLLEGE PROFESSORS DO.

thank you

Nancy I love your videos. You always put the BIG picture on small scale to explain how beautiful Math is. This makes things less scary and easy to understand for me. Great videos, I am a big fan.

Keep it up

She is writing mirror-inverted! That’s amazing!

Thanks for the video it was really good!!

Btw do you write backwards or is it some mirror trick?

It’s backwards dude. 🙂

She records it then mirrors the whole recording, look at her Q&A video it’s mirrored to this.

Mirroring makes sense considering she’s using her left hand here. But for reasons of orthogonality she should also talk backwards while showing us the reverse substitution. Oh, and the colours show be inverted too. ;^)

I have struggled with integration by parts for so long, but your explanation was easy to follow and I finally understand it. Thank you so much!

U ARE TOO CUTE I CANT LEARN1!!!

this is better than organic chem tutor to be honest

Hii @NancyPi .. Integral of 1/(x²-6x+1)dx..can u please solve it.

∫(x^2-6x+1)^-1dx, let u=x^2-6x+1, ∴du/dx = 2x-6 -> dx=1/(2x-6)du

∴∫(x^2-6x+1)^-1dx = ∫u^-1dx = 1/(2x-6)∫u^-1du

1/(2x-6)∫u^-1du = 1/(2x-6)lnu + C

= 1/(2x-6)ln(x^2-6x+1) + C

fuq im in love…. she’s mesmerizing!!! i cant focusss :c :c :c

is she left handed and writing this backwards?

Its never been this difficult to focus

can you do a video on integration of rational functions by partial fractions?

At 1.5x playback speed she sounds like a Valley Girl, lol!

Iyot

man thank god she is not my teacher, she is good at teaching is just that…

I haven’t learned math in school because I couldn’t pay attention to the teacher. I haven’t learned math here either because I was paying attention only to the teacher.

…

…

…

I guess I’ll have to rewatch the video, which I don’t mind.

the best outro ever xD

Can we take u as t

pokemon lover ash negi yes its the same thing, you can take is as k, z , anything its just a substitution that should not be x. You can even use y

How the heck do you write backwards like that?

Marry organic chem tutor

Can “U” be mine?

I am so motivated for math now

Gracias

i acually learn from this shit thank you. way better than my math teacher and great eye candy too

your so good! 🙂 <333333333333 hot

me too

this is like the 10th time im back here because I keep forgetting integration by parts = D fml.

You are beutifu

Hey Nancy, love your videos but the bit at the end where you say that people don’t have to like maths is kinda pandering to the people that insist it’s not fun because they can’t do it. Maths is delayed gratification, which is why those that learn it are so in demand. Wish I’d been courageous enough to do it as my degree instead of wasting my time on computer science. Now I’m just doing it for fun.

I learned more from this twenty-minute video than I did from a 2.5 hour lecture

She is so cute n atleast have a sense how to teach

Wtf😲! How does she write? Does she write opposite letters due to which we understand! Please explain really curious to know!

can you make a more complicated video of integration by parts maybe?

I am leaving my house and coming near you to learn math…

Love from india…

Very useful video, i was wondering, what exactly my teacher meant by “integration by parts”. Learned a lot here, Thanks!

your video is great

Thanks mom

Date me cause i want to pass my maths test😂

What is inverse trig ??

sin^-1 or you see it as arcsign.

The inverse of the trigonometric functions. while the trigonometric functions give a ratio as output when an angle is given

example: sin(45) = 1/sqrt(2)

The inverse trigonometric functions are the reverse or rather the inverse. They take a ratio as input and give an angle as output.

example: sin^-1(1/sqrt(2))= 45

or simply if y= sinx

then to find x or the angle we need the inverse of sine.

thus x = sin ^ -1 (y)

Very importantly, sin^-1(x) is NOT 1/sinx.

1/sinx is cosecx or cscx. Inverse as in not multiplicative inverse but functional inverse if you have learnt inverse of a function before.

And they are also called the arcus functions or arcsin(x) arccos(x) etc to avoid the negative one power confusion with cosecx and secx

what is the derivation and integration of e to the negative x?

Retsel Selanreb -e^x

really?? how??? anyways thank u…

It is not -e^x, it is -e^-x or -1/e^x.

We can do this with a couple ways.

The first way is using the reverse chain rule.

We know that integral of e raised to x is simply e raised to x +c .

So e^-x is e^-x

but as we know the derivative of -x is -1 and hence suppose when we differentiate e^-x we get -e^x which is -1 (e^x) thus we divide instead of multiplying in integration hence getting

(e^-1)/-1 or -e^-x + c.

The second way is using u sub. we let

-x= u

-dx = du

dx = -du

thus we get

integral of – (e^u du)

which is -e^u + c

substituting,

-e^-x+ c

this video is so good!!!!!!!!!!!!!! subcribing for sure

my teacher keeps doing these wrong and he is a know it all and he is the biggest jerk in the world

thank you so much, this was really helpful

Great video👍really helpful. Your smile is infectious, couldn’t concentrate sometimes

aşığım sana aşıkkkkkkkk

The way you teach is so direct and perfect , can you teach us The ” Standard form of differential equation ” + The ” exact equations” PLEASE!!!!

why cant you do the AD of x times the AD of e^x

About 57 Q in my 12th grade! And I solved so quickly!

Ur amazing

“LIATE” instead here in morocco we use ALPES according to this plolynome is stronger than exponentiation

What does the letter “s” stand for?

cos sin and tan

I think I just started to like math… idk why…

I think it’s ILATE instead of LIATE

Eustace Diem Both are correct and does not matter which one you use while its either one. Its just like BODMAS and BOMDAS, since multiplication and division are essentially the same thing so they are interchangeable. The inverse trigonometric functions and logarithmic functions are at the same ease of differentiablity

@Warc Arden i got it. Thank u so much🙏🙏

Dear Nancy, may I ask why integrate e^x equal to e^x

Because the derivate of e^x is e^x . So if e^x is e^x dx ——- then the integration of e^x dx is e^x

@Ophnix thank u

what if the problem given is for example: x/e^x would you still follow the liate rule? so my U will be x? and my DV will 1/e^x?

I Samurai I Yes or just rewrite as xe^-x and use ilate/liate and do by parts

I would walk on a mile of broken glass, in the rain, just to hear you fart once in a walkie-talkie

Same

I’m not doing integration yet. I’m Doing Differentiation. On This Example You Have To Differentiate And Integrate. The Formula Is Great Help

come and teach at our university…..please…

She explains perfectly. A very good teacher.

Sometimes I loose my focus. But that’s why we all here

Nikita Sh lose*

Thank you! Very helpful

Nancy, You are sweet and gorgeous!

New subscriber 👍

The slow and clear pace is really great, thanks. Nice, clean editing too.

💗❤

Nancy I just want to say you’re a brilliant mind that makes Calc very enjoyable to learn! Keep doing you.

bless your soul

I wish my algebra teachers were as awesome as you, thank you for putting effort into making these videos and making it easier to learn algebra !

Who teaches integration in algebra….

i love you

Wow thank you so much for this video. You taught me integration by parts in 20 minutes while my teacher couldn’t for 4 months

she kinda cute though

I love you girl

Thank you, you have helped me so much especially with the LIATE trick, it works perfectly. i was having a difficult time on choosing u and dv.

She’s cute 😍

I ended up studying Integral Calculus all night because of her

love you <3

Life saver

wow man thank you ………… we love you

Why is it we don’t need + C when integrating dv?

Nvm, I see why now!

Thank you!!

such a very nice teacher

Am I the only one feeling she’s speaking so slow? that I have to speed the video up?

Its a perfect speed for me. Stop bragging

Faizal Z 👍🏻

Do y married where are y from

Wow i wish i had the LIATE trick in university. I probably wudve had a 3.5 cgpa.

wow it sounded so easy finally !

Exponential is always dv & Log is always u.

learned alot 🙂

De tanto buscar ….quien lo diría? Una bella mujer explicando mathematics y de una forma bien entendible y particular de explicar a diferencia de otros youtubers que lo hacen aburrido así se esfuercen.Saludos

I liked, aunque solo hablo castellano

Could not focus at all

Thanks you saved me before going for my final exam.🤙🏼🤙🏼

i just spent the first 6 mins figuring how does she writes in that way,

@Trollop 7 haha yeah

She totally *flips her handwriting instead*

(Pre)

@Anurag Thakur Like I said, you’ll never work it out.

@kumar upendra then we would SEE HER HAND FLIPPED and writing it

@Luke C

She is not left-handed. It’s flipped.

😍😍🤓 don’t forget the +c

Ma’am you are too hot for teaching math

You dont have to like math, but you can like my video.

Gold at the end…

The most beautiful math teacher!

do you write backwards for these videos?

thank youuu

hey Nancy can you please explain Partial Derivatives/First Order DE Separable Variable & Integrating Factor/2nd Order DE/ DE Applications?? Thanks 😀

How do you do when the two parts are the same like arccos et arcsin

your voice is so soothing and while watching you I felt a nice tingly feeling inside

This way of determining u and v is better..

Memorize “LATE”

L for logarithm( log( ) ln( ) )

A for algerbra(3x)

T for trigonometr(sin cos tan)

E for exponential (e^x)

Make u the closest one to the start and v the further one example:

Ing cos(x)*e^x Trignometry comes first so make cos u and e^x v then apply the formula mentioned

I watched this even though I know it perfectly

Haha initially she’s like what my mind says to me before saying hi to a girl

“You should try doing that, but don’t. It won’t work”

“What next? maybe try doing this. I’m just telling you, it won’t work”

Eng. Math 1 Exam tommorw! 👍

are you not intergrating e^xdx 8:48

keep it up good work Nancypi…👍

i think you made for math …i love your teaching gestures

الله يلعن كيف اركز وافهم وهذي اللي تشرح!

With long integrations we should…. get married. 🙂

You Dove (into=) Ultra Violet Voo Doo

e to the power x sin x ka dx how to solve

My Queen

Unbelievable!!!!!!! Now I can solve integration .

All thanx to u

A whole months class couldn’t make me understand what u did in less than an hour.

Can u plz tell me how ur channel is organised

I mean how did u arrange ur playlist. Also in mathsbff.

It is a bit difficult for me to figure it out what is needed for me and what not

awesome

Nancy teaches with so much heart. Love her.

are people here actually for maths?

very poor tutorial.

Thanks

Really easy to understand and she didn’t keep something hard but just explain everything

thanks a bunch Nancy, this definitely helps b4 my eit!

im sure she makes a good teacher already

do more calc 2 stuff heh?

Ah shit here we go again! 💦💦

So sexy

Great video ,super helpful.

You have no idea how grateful i am to you 😭

I’m in love with mathematics

Your are the best #NancyPi

Can you do 2 videos on partial fractions? The first on partial fraction decomposition and the second on how partial fractions are used in integration? I know other folks have asked as well. I’m just trying to add my voice to the requests. Thanks!

How does she manage to write mirrored and still have a cleaner handwriting than me

Mirrored video …I guess

i came here to learn math

We need more of your integration videos . Please upload more of them as soon as possible

thank you so muchh….please provide us more tutorials….

U make me love math more..😍😘

your teaching and presence style …got me crazy !!!

Love from India💖

you are the best thank you .

Isn’t it ILATE

appreciate your videos..thanks Nancy

I love you teacher 😙😙😙 are you single?

LIAET

Your videos make be love du-ing calculus! 🙂

thx !

Mostly on Laplace transformation finding the Laplace transform of t and also Laplace of t raised to power n where n is a positive integer

i love u mam

finally a reliable method to do this thanks a lot!

Thanks prof

“Instead of LIATE it would be “LYEE AYEE AYE AYE ET” LMAOOOOOOOO

mam please speak slow in english,

Don’t smile else I will get distracted

I really love Mathematics because of you

It looks me more sexy

I really love you

Wait but I have studied it as ILATE

Where do you get your markers? Do they come with that funny writing sound built-in? :^D

Very helpful.great work

mazing madam!!!!!!!!!!

Integral of (dy/dx)^2.dx ???

(dy/dx) ^3*1/3

Best teacher ever! 🙂 Could you also do a video on tabular integration?

Thank you for this video you have saved my life

Think u should also solve some problems of each rule and exercise!

In some books its written I.L.A.T.E AND NOT L.I.A.T.E 🤔

Yes ILATE. IT’S MEAN

I-INVERSE

L-LOG

A-ALGABRIC

T-TRIGNOMETRY

E-EXPONTIAL(e’x

I learned something new, LIATE.

I thought it was a great video and you are just jealous that someone else is presenting knowledge that you can’t.

@Reggie87 There is no implied sarsasm. I have no idea why you wrote this.

شكرا جزيلا : thanks

AŞIK OLDUM

She must not drink because who remembers all of this stuff???!!! Kudos Nancy!

All this time and I figured out you are left handed wow!

Can you do integration by parts more than once in the same equation?

Missy Tria yes you can, but you should be careful, some are infinite loops. You shouldn’t have to do it more than twice for one equation.

In solving for the integral of (ln cube root x) why would you choose u to be “ln cube root x” and dv = dx? [this is the solution given in my text book] This does not seem like it is breaking the equation in to parts… what am I missing?

Oh my gawd. Freakin 18min video for freakin integration by parts, like really? Well good luck with the admoney who cares about teaching anyway right!

You are awesome Nancy ❣️

You have a nice pretty face but is there even any coming something from the eggs and sperm?

the constant is linked to the precision of the result!; Nancy friend

jennifer shaving!

Take any way your caution despite you speak there is nothing in the sperm and egg surge your hair with Guiness !

try to surge the mike it’s alittle bit too sharp or sharp to much on acer aspire 3 reciever

are you remembering or not the small boy?

hey lefties…….hit the like button

This chick is super hot I couldn’t concentrate on what she is explaining cozz she’s on fire lol

She can integrate while writing back-to front. How the hell?!?!?

x e^x

↓ ↓

1 e^x

↓

e^x

━━━━━━

xe^x-e^x+Ｃ

What are we doing when we have 3 or more multipliers?

u need to do it twice

At 8:55, couldn’t you factor out e^x and get e^x(x-1) + C? Would that be an acceptable answer?

It is the same thing.

John K.

Thanks

Can you learn speak english

So hot

Thanks

Its ilate🙄

Writing backwards on glass. Like the Navy.

or maybe she just flipped the video. Shes using a left hand here which is less probable then a right hander as well lol.

her hand does not hide the writing

Ok. Look at this:

You are a lifesaver Nancy, god bless you.

ILATE is what we follow. Anyways, great lesson. ❤️👏

You taught me more than all of my Calc teachers combined, thank you so much

yeah all you need model

Thank you

I went speed x2.0 because I couldn’t focus on the math…

loool

r/unexpectedaltright

No, go 0.25 so you can stare at Nanc— I mean the math longer

Mathematicians or geniuses usually look very unkempt and have to look crazy with self talk…but you aren’t fitting that profile…

how she writes from behind the board?

Wow, thankyou very much 😁🙏

I love Nancy

she such a baddie

I will pay you to do videos on Calc 3 multi-variable calculus. you’re so easy to understand. thanks for everything.

I will also pay her !

I am so grateful that Nancy managed to get ahold of her videos! I recall watching this back in 2016 for calc II.

It really does my heart good to know that I am giving views and revenue to THE mind behind the videos

she’s bae <3

isn’t it ILATE

Actually, integration is exactly what I want to be doing right now, or I wouldn’t be here!

you are amazing thank you

Your outfits are very beautiful and I love it.

😍😍😍

Why does she smile unnecessarily?

It helped me to understand integration by parts

Thanks!

I loved your class. I am just studying that matter.

😂😂😂😂😂😁😀😀

how to integrate (2x^5-x)/(x^3-2)

you’re Messi of Math😍

Pronouncition super

“Not all beautiful women are into movies, some are into teaching too…”

But to be frank,ur explanation is excellent.

no one spoiled me like you🥺

Thank you, Nancy!!!!! I have exams tomorrow and thanks for this ♥️♥️

You explain this topic so well. Not only do you enliven the maths but your goodness shines through and you have beautiful arms.

after years i did come back here to recall my DE lol it has been touched with our new lessons so i need to learn it again HAHAH by the way! nancy you look so gorgeous. Beauty and brain be like nancy <3

Butsimplieriscompletelysubjective

am crushing on her

Ok wow

You have shown me how difficult math really is, and have helped me in my decision to drop out of high school. I want to thank you for your help ;).

I agree dude, This video has really given me a revelation. I wish I had known that math would be that hard. I should drop out aswell.

bruh you dumb af bruh

I’m.trying to remember the proof of this process .. been a few decades of years ..I’m trying to intuitively think about it

It can be proved using the product rule for differentiation.

(f(x)*g(x))’ = f(x)*g'(x) + f'(x)*g(x)

Integrate both sides, rewrite and there you go.

OG mathbff!! Only the real ones know

I THINK ITS I LATE AND NOT LIATE

I’m just confused if she’s writing backwards or if she reverses the footage. I can’t focus.

👍That’s right

I like tricks they make my studies more easy..Thankx nancy love u

nice mam

why would you use by parts on the last one if you don’t have to

can we have date cause I like you so much and I do not understand you cause your eyes are significantly beautiful

nancy thanks , your teaching is very accurate , devash , student in analytical chemistry

Thank you Miss, you really helped me a lot in my Calculus.

Are you single?

So hard not to pay attention😍

Where ?

I was trying to concentrate so hard. But honestly, her perfect smile just got all my attention:C I’m gonna fail

Nancy could you solve difficult ask please

your tutoring is very awesome.ilike it

When I searched integration by parts on youtube only Organic Chemistry Tutor and NancyPi came with highest reviews both helped me a lot thanks so much Nancy

Inverse trignometric comes before logarithmic….its ilate not liate😊😊😊

adrian smith both work. It’s just like bodmas and bomdas. It doesn’t change anything because itf and logarithmic functions are at equal complexity of integrating

Smart girls are totally attractive

Claculus made easy ………….. The best tutoring vedios

Wish u were my teacher

6:47 +c if you are clever one. Haha

Nancy, if wish you were my teacher for every class while I was at school.

LIATE

LIATE

LIATE

LIATE

LIATE

LIATE

LIATE

LIATE

Love you Nancy😋😋you are perfect.. Teacher.♥️♥️. If you would have been my maths teacher, I would have topped my every semester.

thx Nancy

Jesus loves you

Believe in him and repent

Thanks Nancypi! That video helped me remember the process for integration by parts!

Hi Nancy. You have made me fall in love with math once again. I was almost giving up on college math but now, I”m seeing myself doing much better in Engineering Math.

Thank you very much it is very useful

Thank you so much for this!!

Ok here is what I am struggling with. Are you writing backwards? or are there two cameras? This is bothering me.

I’m gunna marry you one day.

you made this concept a lot easier but now i am hard

Am i the onky one who thinks she looks like Megan Fox?

Lee Roy yeah somewhat

Learnt more in the first 3 minutes than a 2 hrs lecture on this

very helpful…… thanks alot

A beautiful woman doing math?! Is this real?! Is she real?! This can’t be legitimate…. Is it?!

Mr Sathia sent me here 😉 Great video by beautiful lady.

I’m from Brazil, yeah im crazy enough to learn integral in a different language im used to.

Thanks that’s helped me a lot.

Beauty😍💓

This video helped me a lot! <3 Thanks!

i think i love you!

Please Stop Smiling bcz i cant concetrate

Want to text me before my final lol

I got 2/3*e^x^3 +c

Nancy burn my 💓 heart.

I love u sexy math lady

If Nancy replies to this comment in a nice way I’ll eat my boxers

Im not even taking any math classes

i spent the first 20 mins of the video staring at you

i learned alot

You are the best teacher

8:58 math is not magic. She is magic and looks Like magic

Love u nancypi

How could she be so beautiful and so smart? Is that even legal?

She’s bomb and cute. Whoever gets there is hella lucky

I think it is ILATE, not LIATE. Just to be sure I googled too and found that it is ILATE. All webpages showed that it is ILATE and only a few shows its LIATE. Just a lil bit confused. Correct me, please.

Thank you. i’m doing some review for my calc 2 class next semester. One thing I would recommend is a time stamp or something so people who are refreshing for review don’t have to sit through the explanation. Maybe it’s just me but when I can’t remember and i’m watching a video that 2-3 minutes of “this is why we do it” or “why do we do it” is like nails on a chalkboard. Some need it, maybe even most need it. But i’m sure i’m not the only person just doing a refresher.

なぜオススメに…

Damn

Mire ha mi yo tengo halgo ke exponer sobre Hoyente ha distansia local y despues de haser el matematicas y Ganar (cual es la de Doctor sera igual a la de no DECADENSIA)

I’ve been trying to find an informative video for so long and this made so much sense, thank you!

You so beautiful that I couldn’t understand anything

+1

Will you do a video about partial fractions?

I learned everything i know about calculus from YOU, i’m so so so thankful, and you’re so good to listen to:D keep on doing this, because you’re a treasure and the saviour of students<3 so THANK YOU

Cutee and intelligent 🙂

Your teaching is impress

So beautiful yourself and beautifully explained. Lovely

Plz lec on the partial fraction

Lec on the partial fraction ????

Please make more videos.

Is she writing backwards?

Hi Nancy, can you factor out xe^x-e^x+C to be e^x(x-1)+C?

She is too hot for a teacher

I would have attended all my lectures if she was my teacher

Nancy Pi, these videos are just amazing. I really hope you find a career in being a professor one day…education does NOT get any better than this!

You are amazing.

I like nancy is beutifoul

Thank you so much Nancy!!

Your video has helped me to revise before my exam and actually have the guts and relaxation to study. What I mean is that you’ve explained the content so well and smoothly that I forgot my math anxiety

Worst lecture thooo

Hi Nasi, what is the name of the program that you use to cut videos?

Lessons and Kim are very useful and I would like to give lessons in Arabic like this

I am a mathematics teacher.

My college professor is very cute, so I was unable to concentrate. You are also very cute, so I am unable to concentrate again.

Keep teaching Nancy, please!! Love you!! 😉

up load the lec on the partial fraction

damn nancy’s really hot

This is cakework copared to what my professor has been giving us and its only the first week of the semester😣

i like saying it like LI-EEEEEE-AT

11:49 My brain during an exam

DI method much easier

Could you use LIATE for U sub??

I found you videos striking on my mind and thankful to you .Stay Blessed for sharing your knowledge

Camera acts like a mirror thru Cristal transparency, so it is written left sided but still eligible. Anyways would you explain any time combinations, used in lotteries or derivatives used in stock market. Compound interest in banking. Thanks I love the way you express math which is quite non linguistics

sorry man would love a whole tutorial but you are just too distracting to let me study 😉 ,lol

Would you marry me? You are intelligent, beautiful and sweet. I melt watching your videos and I also learn a lot. What else can a man wish? P.S. – I’m a good cook. 🙂

U are so pretty wow

I.E. or EI

LIATE I did not understand a thing! Lol

quite sexy

Actually you can solve first integral with product rule.

I’ve been watching NancyPi for two years now, and I LOVE that I’m finally on to her calc videos! Yayy!!!

“And if this all sounds really confusing, that’s because it is!” I love it @NancyPi!!!

I love you baby

Her voice is my ASMR and the math actually becomes understandable, magic

good lesson thanks 666th comment

The math is good but why is there a white board in your Kitchen?

ME CASOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Tomorrow is my paper and I was here to study but after seeing her imma like hehe you know what is it…LOL

Watching this 30 minutes before exam. . .

Sorry to a lay man language can u explain this law of intergrate

In which case we can use integration by parts

Thank you

Anyone else still trying to figure out how she writes in thin air like that

Nope, still don’t know. It’s is definitely not obvious at all. It is definitely not a glass in between the camera and her and she has definitely not flipped that video horizontally.

Can you please start integral from the first lesson

205 people who disliked it, go study physics !! bah on u !

I freaked out at first when I thought she was writing backwards (right to left). But I think it’s a reverse of the glass she is writing on (left to right) in appearance.

I have no idea what this clip is about but I love the sound effect when you write on the screen. lol. The opening moments of this clip could certainly use a bit more context. Just something to mention to uninitiated what the purpose of the clip is 🙂

Thank you soooooo much

You made it soooooo eaeaeaeasy

You are literally the BEST math teacher!

stop being beatutiful and teaching math at the same time!

What if there are both trig? How do I know which one would be u and dv?

Thanks

Amazing video ma’am

Nancy please, can we have a video tutorial on double integration?

In India

we use ILATE instead of LIATE

Thank you sooo much

I don’t care what ever she talked about but I know only that she is so sexy

Sick person

She’s hot 😍😍

Thank you so much

How do we get the integral using IBP when the given is x^3/sqrt x^2 + 1?

WHAT a nice teacher you improved my performance in math thanks NANCY

Thanks you did your best l like your way of teaching

“Integration by Parts: An Intuitive and Geometric Explanation” ~ Sahand Rabbani

“Integration By Parts” ~ Wolfram

This covers the derivation from the Product Rule for derivatives, and shows a number of other properties.

Stop reading comments like me

Thank you for the trick, Nancy!

I don’t like maths but I beginning to like mathematicians

I wonder how she writes that way.

Hi Nancy. Is there any example about work done?

Do you have video on limits?

I bunked calculus classes during my 11th grade and I was suffering in my CS course. Thanks a lot

This was really helpful, but is there a video where u solve a problem requiring 2 rounds of integrations by parts? I find this concept to be a headache and the actual execution to be tricky, and demonstrating how it’s done would rlly be amazingly helpful.Thank u so much for all u do, your videos are so helpful for college students!

I need char table

nice

My love for you is like π 😍

Irrational, infinity and very important

integral(x^(-2020)*e^(x)) do you know

This teacher: Any question?

Me : yes, can we go out on a date?

أجمل من يشرح ماث والله يالبى♥️

وش حببك فالماث والله لو تجي عندنا السعودية يصير مهرك ٥٠ الف

That’s not false?

lol all these normies trying to get Nancys attention. Guys she is ivy league… and you are youtube commenters

انتي تشرحين ودكتوره العار يشرح والله حرااااااااااااااام

Good lesson technique. I most like. Best regards.

Tips: Before integrating, you have to observe the given and ask yourself, what part in the integrand that you can differentiate and integrate. Example, xe^x. We can differentiate x we can also differentiate e^x, we can also integrate x we can also integrate e^x , so you can choose either of them and gives the same answer.

Thank you, intelligent person, you should be so proud of yourself

How does she write?

Thanks

wait start over you too pretty I lost concentration

16:30 Those last two ones, we can also do directly, right?

I wish I could say I learn from Nancy but the truth is, all I do is stare at her xD

bravooo nancy

That’s It E.T. back to the moon with you …

Do you perhaps have something on integral parts about wave forms?

I want to know something about Riemann Integral to take these different positions in calculus.

With a better performance in Lebesgue Integral performance by parts in wave forms.

I want to use it in demonstration of graphical approach in the visual aspect for graphics.

Since every pixel is created as a color wave to represent color intensity to construct an image.

I need to explain every frequency is divided in spectrum of colors for the image.

Which in mathematical approach is the integral part of the spectrum in waveforms of the Fourier spectrum.

Since every waveform has a complex domain in this spectrum. I need to take derivatives in time domain for the original pixel values.

To express it for digital compression and integrals in frequency domain to get the spectral parts of the waveforms.

Since every signalfunction in waveforms is divided towards Fourier transformation. it is either multiplied or divided in basic signalfunctions from cosinus waveforms and sinus waveforms.

This gives the complex domain where eulers number comes fort to multiply or divide every spectral as a waveform function.

Along side the unit circle in cosinus function or sinus function for the real parts and imaginary parts.

The vectors of the waveforms explain the intensity of the pixel in value which gives us eventually the whole image projected as we visualise it.

To understand this better for smoothening we used also Gauss function to get blurring effect as a filterimage.

Were parts of Laplace transformation came in order to take different dimensions. for 1D, 2D or 3D images with 4D dimension along side color depth.

Which gave more perspective in images for black and white, grayscale or color RGB in colordepth with transparancy towards alpha.

I hope this is good conclusion on image frequency compression.

Thank you for the great video.

Dannng light weight roast at 9:56 lmaoo

This is all too complicated for me. Maybe I should go into an easier major like sociology or history

Mmm I love watching math 😍

Thank you so much 😭😭 online classes makes me dumber i swear but thanks to you i get it 😭

Ur my idoooool

goood

At 14.35, can you use u substitution for the exponential integrals instead of integration by parts?

Thank you! The LIATE trick helps so much

Thank you so much you jogged my memory

If you were teaching in my school 90 percent of the guys would end up taking mathematics as core paper….. LMAO so pretty mathematics teacher

I’m watching at 11:40pm i don’t understand the teacher but you made my day anyway thanks for help 🙏🙏

I can’t concentrate ’cause you’re so pretty.

you deserve prize sweetheart , thank you

do you draw on glass and mirror the recording?

omggg you are very smart!!!

Dear Nancy …. Students comes here and concentrates on you not the studies .

excuse me mam i think you have written the wrong rule i.e fun trick rule LIATE that was actually ILATE .PLEASE MAM rectify it

Wow. What a bombshell and a genius. Good lord.

Okay CERP TV

Is no one commenting on her left-hand mirror writing? it looked so normal i didn’t even notice

Mam are you vegan ?

Thank you Nancy 😀 i really prefer the way you explain things. It’s clearer that way. 👍

You’re saving lives with LIATE 💕

yo Nancy glowed up hard

8:09

That “okay” killed me

Thank you so much for this! You explained this in a way that is infinity times better than my professor 🙂

good lesson is save my time and is good light in lesson simel explenation and easy to fallow thanks nancypi

Hi, for 6xe^3 can we use e^3 for u, as differentiating this would give 0? Thank you

I always come back to watch Nancy’s videos and barely ever look at the maths

i love u, teacher!!

thank you…that helped me a lot

Can you do a video of a multiple integration by parts example?

Why is the differentiation of e^x, e^x only and also the integration of e^x, e^x only…? Why not xe^x-1 or e^x+1/x+1???😕😟🤔🤔🤔

Your are the best maths teacher ever I had

never expected a mathematician to be that beautiful..

cant focus to the topic!!! always staring at you

truuuuuuuuuuuuuuu

FYI, I’m gonna marry you. So don’t be surprised when that happens.

calm down

Simp

smooth bro, i think you’re in

damn she is hot

You’re a real life savior. Keep up the great work

I wish I too have a teacher like uh in my class

Yes mam your explanation is excellent

I love your videos! They are so helpful!

does it matter which is u and v

Wow that was tough had to play it at half speed you sound drunk as a skunk.

I like skills but I also like LIATE

Hi Nancy please do Laplace transform videos

If your trying to learn this stuff to impress people with your big brains, heres a tip… Don’t bother. It doesn’t work. Life doesn’t have to be this complicated.

wtf I had to watch it twice. Am I a simp or is she hot af?

what about the proof? It would be super nice to understand the concept by seeing and being walking through the proof

I wanted to skip to the point but just couldn’t do that, wanted to see more

Maths with Megan fox man!!!😁😁😁💗💗

Nooo. You have obtained great knowledge from MIT, and shouldn’t be wasting your time on such simple stuff. Many people can do a video on this. Please cover *calculus 3* !! I understand that the audience is going to be smaller, but still please consider it.

What is the answer of integration of one by root x into sin x? Please tell me.

I CAN’T STAND LOOKING AT YOU BEHIND A GLASS ANYMORE

When I saw the thumbnail, thought it said “integration by farts”

I LOVE U NANCY!

Nancy you are so hot

Nancy pi U are so good

I need U for teaching me mathematics every times