It's incredibly incredible how she connects with the listener so simless . You can feel the reasoning and break down oozing from within her soul of understanding. She is passionate about what she does, and oh yes she is 💯 equipped with that knowledge you need. She tailors it in the most perfect language of comprehension you dream of.
You have disappeared like the Avatar, but I just wanted to say you've really helped me with a lot after 8 years of no school and going straight in to Calc series. Thank you
Hands down best explanation of integration by parts I ever found! If I had you as my professor I wouldn't have failed calculus so often. I can not believe I haven't found your channel earlier. Edit July 11th: finally passed my calculus exam, I cannot believe i! Thanks Nancy!!!
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
@@stephenmorrison1297 this is late but all indefinite integrals need a plus C. When you derive constants, they disappear because you’re going down a power and you can’t go a power less than a constant. So the derivatives of 2x^2 - 8 and 2x^2 + 5 are going to be the same: 4x. Well, when you integrate, you work backwards from this. When you use the integration power rule on 4x, you get (4x)^2/2, or 2x^2. But because the constant is gone, you can’t integrate it. We add C to represent the fact that there might be something there, but we don’t know what it is. Hope this helps!
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
It's truly admirable and impressive to me when the content is free and made of what she had learned as she is pouring the liquid gold into our heads. THANK YOU SO MUCH
I was afraid of Calculus II, but you boost my confidence in calculus whenever I watch your videos. You just make difficult maths look simple. Thank you.
I can write backwards upside down whatever but I realized something else was up when it disappeared and then i realized... what physical object is she writing on tho. Ot's 3am and i confused myself for awhile.
This is so perfect. I am an old failed physics undergraduate, coming back to the subject after 30 years, and I get it, now. Just an ideal presentation all the way from production values to pedagogy. I'm impressed. "The kids are all right."
I had to do calculus 1 at double speed in summer after placing in remedial elementary algebra initially. I passed with a good grade. Many sleepless nights were spent watching your videos. I don't know if you will read this but I hope you are having a good day. Thanks :)
For those that want some more practice on these types of integrals, I've made a video where I solve such exercises step-by-step, explaining everything I do along the way. It might help some of you :)
I have been complaining about how to integrate by part a couple of times but after watching thia explanation I am really satisfied and feel like hero. Thank you NancyPi
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 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
Yes lola like its a game changer!! I have been doing some integration by parts problem but its really hard for me to choose the variable for integral product rule and liate acronym gives you a convenient way to solve this problem without wasting your time but she said that the t and e are Interchangeable.
Then something just snapped, something inside of me. I didn't care anymore. I didn't care about being better than Kakarot, I didn't care about being a super saiyan. I didn't care if I lived. I didn't care about anything! And then.. It happened.
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.
My calc professor gave us away to memorize that formula. He said remember it as "Ultra Violet minus VooDoo" and said the phrase is so stupid, it'll stick to memory.
I'm sure this question gets asked constantly but what in the world is she writing on? A glass window??? Is she BEHIND the glass window??? lol I literally can't figure it out!
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.
The formula: ∫udv = uv - ∫vdu is derived below: By using the product rule, we have: (1) d(uv)/dx = udv/dx + vdu/dx. For example, Force is equal to the change in momentum(mv) or F = d(mv)/dt. So force will change when we have change in mass(m) and/or velocity(v); therefore F = m(dv/dt) + v(dm/dt). [Newton's Second Law] In its differential form, the rule becomes (2) d(uv) = udv + vdu or udv = d(uv) - vdu. Integrating equation (2) (3) ∫udv = uv - ∫vdu.
Thank you very much Nancy. Why my Math teacher didn't teach me like this. You made it easier and simpler. This is the first time for me to learn math smilingly and want to learn more and more.
Just wanna say you're incredible and have taught my kids so much! Although I am a world class engineer/ entrepreneur, as a single dad I have not had 5he chance to teach them. So glad you could help them. I must repay you with a fancy dinner at one of my many restaurants. Kind regards, insidecarrot xx
The 4 square box and LIATE method in Calculus for Dummies is helpful. Make a 7. Left to right across the top for uv (xe^x, in this case) and right to left diagonally down for vdu (e^x in this case). xe^x - e^x + c.
Nancy and Organic Chemistry tutor should know each other right? because they both help students a lot
@@lauramenendez9931 no pls.
As being a member of 9 years old army, i agree
I read that "Orgasmic"...
I think we need a Calculus Collab from them. Help raise our test grades Calculus gods.
Amen
This woman is amazing and boosts my confidence in math every time I finish one of her videos.
Finish to 😂😂
@@hamzamahmood9565 wtf💀
@@hamzamahmood9565 this is how i read it too💀💀
Her voice is my ASMR and the math actually becomes understandable, magic
To tell you the truth I slept all time whenever I watched her videos lying on bed.😂
@@ItachiUchiha-bi4ifI sleep too cos it makes no sense, I am done for, rip my qualification
It's incredibly incredible how she connects with the listener so simless . You can feel the reasoning and break down oozing from within her soul of understanding.
She is passionate about what she does, and oh yes she is 💯 equipped with that knowledge you need. She tailors it in the most perfect language of comprehension you dream of.
You have disappeared like the Avatar, but I just wanted to say you've really helped me with a lot after 8 years of no school and going straight in to Calc series. Thank you
she has left us alone but shafts of light sometimes grace the corner of our rooms...
AHAHAHA LIKE THE AVATAR
SHE IS BACK NOW!!!!!!!!
@@lukewharris ikr!!!!
Mam so cute 🥰
Hands down best explanation of integration by parts I ever found! If I had you as my professor I wouldn't have failed calculus so often. I can not believe I haven't found your channel earlier.
Edit July 11th: finally passed my calculus exam, I cannot believe i! Thanks Nancy!!!
"so often"
Congrats 🎉
I always feel relieved when NancyPi has a video on the topic I am working on.
Gosh same here, plus I never get tired of her videos regardless of time
@@Mwita_ian integration by parts formula is pretty useful in mathematics.
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
In your answer xex-ex+c were did you get the c from?
@@stephenmorrison1297 this is late but all indefinite integrals need a plus C. When you derive constants, they disappear because you’re going down a power and you can’t go a power less than a constant. So the derivatives of 2x^2 - 8 and 2x^2 + 5 are going to be the same: 4x. Well, when you integrate, you work backwards from this. When you use the integration power rule on 4x, you get (4x)^2/2, or 2x^2. But because the constant is gone, you can’t integrate it. We add C to represent the fact that there might be something there, but we don’t know what it is. Hope this helps!
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
It's truly admirable and impressive to me when the content is free and made of what she had learned as she is pouring the liquid gold into our heads. THANK YOU SO MUCH
I was afraid of Calculus II, but you boost my confidence in calculus whenever I watch your videos. You just make difficult maths look simple. Thank you.
I took a two year break and now I'm in Calc 2. This is exactly what I needed. A step by step with explanations of everything she's doing. Tysm
i just spent the first 6 mins figuring how does she writes in that way,
I can write backwards upside down whatever but I realized something else was up when it disappeared and then i realized... what physical object is she writing on tho. Ot's 3am and i confused myself for awhile.
She's is writing normally on glass so that we can't read it. Using computer effects, she flips the footage to make it readable for us
It’s a glass that’s she writing on them she inverse the video
She’s writing on a clear screen with her right hand. Flipping the image in post and there is an ever so slight cut in between the wipes.
Search lightboard on YT
This is so perfect. I am an old failed physics undergraduate, coming back to the subject after 30 years, and I get it, now. Just an ideal presentation all the way from production values to pedagogy. I'm impressed. "The kids are all right."
It's the smile for me. Makes me calm down. It's like a voice saying relax/calm down/don't worry. Thank you
I had to do calculus 1 at double speed in summer after placing in remedial elementary algebra initially. I passed with a good grade. Many sleepless nights were spent watching your videos. I don't know if you will read this but I hope you are having a good day. Thanks :)
are u in college now?
For those that want some more practice on these types of integrals, I've made a video where I solve such exercises step-by-step, explaining everything I do along the way. It might help some of you :)
I seem to be abnormally concentrated in learning maths when watching her videos. Nancy being there really makes maths intriguing…
Nancy teaches with so much heart. Love her.
How is she so pretty ,so intelligent and so calming all at the same time?
The slow and clear pace is really great, thanks. Nice, clean editing too.
i was crying two hrs ago, then typed up n yt and Nancy popped up. no more tears. God bless
Never knew you were back, just got back into school and couldn't be happier. Feel like a weight was lifted off my shoulder
th-cam.com/video/QcEfIXMw1AU/w-d-xo.html
my love for nancy keeps growing like my A grades every time i watch her videos once again i wanna substitute U for lecturer
I love how you ended with "don't forget the plus C"
I needed this xD
We forget it many times..
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!
I've been watching NancyPi for two years now, and I LOVE that I'm finally on to her calc videos! Yayy!!!
I have been complaining about how to integrate by part a couple of times but after watching thia explanation I am really satisfied and feel like hero.
Thank you NancyPi
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.
when i see she has a video explaining what i study in math, i automatically become relieved
woahh this is the chillest tutoring session, I learned so much. I love this channel where has it beennnn???
th-cam.com/video/QcEfIXMw1AU/w-d-xo.html
th-cam.com/video/f3FO_nSpS9Q/w-d-xo.html
th-cam.com/video/y_XwQkchwrE/w-d-xo.html
You really made this sound so much easier and put everything in layman terms, I really appreciate you
The most beautiful math teacher!
simp
@@FeedCrisTops what is a simp
lmao do your homework bro
@@josiek7589 lmao
@@FeedCrisTops *Proud Simp
Best teacher has ever seen on TH-cam..... you are the best NancyPi😢
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
I love that she accommodated those of us who hate skills and developing them :)
Yes lola like its a game changer!! I have been doing some integration by parts problem but its really hard for me to choose the variable for integral product rule and liate acronym gives you a convenient way to solve this problem without wasting your time but she said that the t and e are Interchangeable.
@@spurti Yep!! 😁
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 !
Nancy, you are quite literally better than any calculus professor I've had!
Then something just snapped, something inside of me. I didn't care anymore. I didn't care about being better than Kakarot, I didn't care about being a super saiyan. I didn't care if I lived. I didn't care about anything! And then.. It happened.
Finally ! Someone made crystal clear explanation for this. Thank you so much. you are amazing !
I think, all math teachers should start their explanation of integration by: "It´s like a zombie!"
My favorite part of the video is at 15:15. Thanks for the shoutout, plus you're a phenomenal math teacher.
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!
Has to be the most explicit explanation of such topic; Kudos
Can you please teach us integration by partial fractions? Thank you so much
what's your career?
@@moeidmehri2153 MF calc class my man
nex video of mine will be integration by partial fraction
th-cam.com/video/f3FO_nSpS9Q/w-d-xo.html
I have a lot of examples in the "Integration by partial fraction decomposition" playlist in my channel! 😉
Nancy-thanks for your lovely selfless effort in helping the maths diaspora. Regards Dr Sabapathy (Mathematician, Singapore).
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.
You explain this topic so well. Not only do you enliven the maths but your goodness shines through and you have beautiful arms.
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.
For those who dont quite get it , you MUST always pick the ln part of the question as U. The rest DOSNET MATTER.
Boys remember
we came here to study
You are literally the BEST math teacher!
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
Thx for the video. Nobody has explained integration by parts better than you did. The liate method is soo helpful and time saving.
My calc professor gave us away to memorize that formula. He said remember it as "Ultra Violet minus VooDoo" and said the phrase is so stupid, it'll stick to memory.
helpful
thankyou so much
Man I'm laughing so hard haha
Sometimes I learn it, forget it, then have to come back to Nancy for help lol. Thank you Nancy!
Right before my first midterm. Thank you Nancy, really appreciate it:)
you are the only person on the whole internet who can teach me math
I always come back to watch Nancy's videos and barely ever look at the maths
You never seem to get old been watching for quite some time now. You are the best very done especially the writing backwards .. Thanks very much.
I'm sure this question gets asked constantly but what in the world is she writing on? A glass window??? Is she BEHIND the glass window??? lol I literally can't figure it out!
That was like the first question that popped up in my head too😂😂
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.
coming in clutch for Calc BC at JUST the right time.
Woow thank you @NancyPi you made Integration by parts way easier to understand.
Mam,your teaching method is excellent....my doubt about integration is clear now... thank you so much mam😊😊😊
It is difficult to concentrate on the subject itself because this tutor is so beautiful.
You actually saw my comment ! Thank you so much!! I’m having trouble with these.
🤓gl!
@@NancyPi hi
@@NancyPi In Liate when should we give integers or coefficients priority? Thank you
Thank you for teaching me the easy method. These type of integrals scared me the most until now...big thanks girl 💛
You make me like math
🙄
🙄
🙄
🙄
🙄
This was a very good video, I understand complex numbers far better now
You are a lifesaver Nancy, god bless you.
yeah . I finally understood integration by parts from this video 😁😁😁😁. thank yo so much Nancy
I have an exam on Integration next week ! Thanks for this one ! I was waiting for it :)
The formula: ∫udv = uv - ∫vdu is derived below:
By using the product rule, we have:
(1) d(uv)/dx = udv/dx + vdu/dx.
For example, Force is equal to the change in momentum(mv) or F = d(mv)/dt. So force will change when we have change in mass(m) and/or velocity(v); therefore F = m(dv/dt) + v(dm/dt). [Newton's Second Law]
In its differential form, the rule becomes
(2) d(uv) = udv + vdu or udv = d(uv) - vdu.
Integrating equation (2)
(3) ∫udv = uv - ∫vdu.
Hey! Since you wanted to learn about integration by parts, I thought you will enjoy the proof for it: th-cam.com/video/B0VA8OAFYHo/w-d-xo.html
Yasss perfect timing 😩🤯💯😭💞 THE LIATE trick works wonders 😂🙈
ILATE
ILATE OR LIATE we can use both
@@chaudharyak9024 Which one to choose as "u" when you have log and inverse trig in the same problem?
@@ashishgupta-wz5du use ILATE in that case....but u will get same answer by LIATE too.....just a bit complex and some rearrangement needed😉
th-cam.com/video/f3FO_nSpS9Q/w-d-xo.html
The best Calc teacher I have ever had. Thank you so much.
Informative. Useful. Calming. Inspiring. Life-changing. Enjoyable. Heart-warming. Other.
totally agree!!!
thanks nancy it's my pleasure to have you as my teacher
LIATE: *"Allow us to introduce ourselves"*
LWIAY: *"Finally, a worthy opponent"*
One of the best teachers i've seen, doesn't make me feel like a complete dumbass and is easy to understand thank you!! :)
nice, stay curious
This is the calculus I was waiting for 😊
Can you please take us through integration of partial fractions?
OMG! You do an excellent job. I teach math at a community college. I am stealing your teaching method because you have a terrific gift.
Just in time for midterms, thanks
I CAME TO DO MATH. left feeling in love
I missed your dad jokes, glad to see you back !
Thank you very much Nancy. Why my Math teacher didn't teach me like this. You made it easier and simpler. This is the first time for me to learn math smilingly and want to learn more and more.
"What if you hate skills, and hate developing skills" lol Love it. Thank you, this video was truly helpful.
Hey! Since you wanted to learn about integration by parts, I thought you will enjoy the proof for it: th-cam.com/video/B0VA8OAFYHo/w-d-xo.html
I bunked calculus classes during my 11th grade and I was suffering in my CS course. Thanks a lot
"Instead of LIATE it would be "LYEE AYEE AYE AYE ET" LMAOOOOOOOO
You are my shining beacon of hope in this dark world of accelerated Calculus 2...
...love when she says “integrand”!
I'm a med student, but I believe that integration by parts may come in handy in future.... so here I am!
LIATE is so clutch thanks alot!
You’re saving lives with LIATE 💕
"And if this all sounds really confusing, that's because it is!" I love it @NancyPi!!!
I Gotta say you really simplied this topic it understandable
you're Messi of Math😍
WHAT a nice teacher you improved my performance in math thanks NANCY
Just wanna say you're incredible and have taught my kids so much! Although I am a world class engineer/ entrepreneur, as a single dad I have not had 5he chance to teach them. So glad you could help them. I must repay you with a fancy dinner at one of my many restaurants. Kind regards, insidecarrot xx
U should deffo go out with this guy he saved a burning orphanage
Thanks for lending me 3 of your lambos btw
Is it true you built all those schools in Somalia and Kenya btw??
Yes. Tried to keep it on the down low bc the press might go over there and interfere
@@llinsidecarrotll7061 I think you forgot to change accounts my guy
The 4 square box and LIATE method in Calculus for Dummies is helpful. Make a 7. Left to right across the top for uv (xe^x, in this case) and right to left diagonally down for vdu (e^x in this case). xe^x - e^x + c.