Integration by Parts... How? (NancyPi)

Поделиться
HTML-код
  • Опубликовано: 11 янв 2025

Комментарии • 1,7 тыс.

  • @skle2300
    @skle2300 3 года назад +814

    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

    • @nozulani
      @nozulani 3 года назад +44

      she has left us alone but shafts of light sometimes grace the corner of our rooms...

    • @puddleduck1405
      @puddleduck1405 2 года назад +4

      AHAHAHA LIKE THE AVATAR

    • @lukewharris
      @lukewharris 2 года назад +11

      SHE IS BACK NOW!!!!!!!!

    • @pranavt.j.1157
      @pranavt.j.1157 2 года назад +2

      @@lukewharris ikr!!!!

    • @skillwithnarayan
      @skillwithnarayan 5 месяцев назад

      Mam so cute 🥰

  • @ladyvargas8467
    @ladyvargas8467 4 года назад +270

    This woman is amazing and boosts my confidence in math every time I finish one of her videos.

    • @hamzamahmood9565
      @hamzamahmood9565 Год назад +23

      Finish to 😂😂

    • @sabahlarakadar420
      @sabahlarakadar420 11 месяцев назад

      @@hamzamahmood9565 wtf💀

    • @luvswan
      @luvswan 9 месяцев назад

      @@hamzamahmood9565 this is how i read it too💀💀

  • @nathaniel4146
    @nathaniel4146 6 лет назад +3909

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

  • @totalyfrikinawsome
    @totalyfrikinawsome 5 лет назад +304

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

    • @ItachiUchiha-bi4if
      @ItachiUchiha-bi4if 3 года назад +1

      To tell you the truth I slept all time whenever I watched her videos lying on bed.😂

    • @VineVast
      @VineVast 10 месяцев назад

      @@ItachiUchiha-bi4ifI sleep too cos it makes no sense, I am done for, rip my qualification

  • @elia714
    @elia714 2 года назад +150

    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!!!

  • @muhammadrafay4743
    @muhammadrafay4743 5 лет назад +49

    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
      @stephenmorrison1297 3 года назад

      In your answer xex-ex+c were did you get the c from?

    • @bonelessbooks9263
      @bonelessbooks9263 2 года назад +4

      @@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!

  • @runtrunks2148
    @runtrunks2148 6 лет назад +81

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

    • @Mwita_ian
      @Mwita_ian 3 года назад

      Gosh same here, plus I never get tired of her videos regardless of time

    • @byronrobbins8834
      @byronrobbins8834 2 года назад +1

      @@Mwita_ian integration by parts formula is pretty useful in mathematics.

  • @VitruvianEngineer
    @VitruvianEngineer 5 лет назад +17

    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

  • @ebrimatouray4157
    @ebrimatouray4157 2 года назад +25

    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.

  • @thaiduy2346
    @thaiduy2346 Год назад +7

    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

  • @AlanCanon2222
    @AlanCanon2222 4 года назад +49

    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."

  • @Snazzytzzz
    @Snazzytzzz Год назад +4

    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

  • @MadChrisp
    @MadChrisp 6 лет назад +179

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

    • @kumarupendra
      @kumarupendra 5 лет назад

      ruclips.net/video/QcEfIXMw1AU/видео.html

    • @kumarupendra
      @kumarupendra 4 года назад

      ruclips.net/video/f3FO_nSpS9Q/видео.html

    • @kumarupendra
      @kumarupendra 4 года назад

      ruclips.net/video/y_XwQkchwrE/видео.html

  • @shadrackokello8228
    @shadrackokello8228 2 месяца назад +2

    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.

  • @RealAj-n2o
    @RealAj-n2o 6 лет назад +81

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

    • @kumarupendra
      @kumarupendra 5 лет назад

      ruclips.net/video/QcEfIXMw1AU/видео.html

  • @ryanc6814
    @ryanc6814 5 лет назад +28

    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!

  • @Stolas002
    @Stolas002 5 лет назад +14

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

  • @user-wy7wl5on7l
    @user-wy7wl5on7l 4 года назад +11

    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 :)

  • @AMLennon
    @AMLennon 5 лет назад +42

    Nancy teaches with so much heart. Love her.

  • @BeeeGoooood
    @BeeeGoooood Год назад +2

    My favorite part of the video is at 15:15. Thanks for the shoutout, plus you're a phenomenal math teacher.

  • @marionronoh9160
    @marionronoh9160 5 лет назад +15

    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.

  • @shanehuang1954
    @shanehuang1954 2 года назад +5

    I seem to be abnormally concentrated in learning maths when watching her videos. Nancy being there really makes maths intriguing…

  • @VeeryBird
    @VeeryBird 4 года назад +9

    I love how you ended with "don't forget the plus C"
    I needed this xD

  • @blackchild4812
    @blackchild4812 3 года назад +1

    my love for nancy keeps growing like my A grades every time i watch her videos once again i wanna substitute U for lecturer

  • @cliffordwilliams9597
    @cliffordwilliams9597 5 лет назад +3

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

  • @Tochify
    @Tochify Год назад

    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

  • @ngonidzashetinago9356
    @ngonidzashetinago9356 3 года назад +10

    It's the smile for me. Makes me calm down. It's like a voice saying relax/calm down/don't worry. Thank you

  • @David-me8bs
    @David-me8bs 5 лет назад +6

    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

  • @xoni20
    @xoni20 5 лет назад +8

    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 !

  • @setsabilemasuku7887
    @setsabilemasuku7887 2 года назад

    i was crying two hrs ago, then typed up n yt and Nancy popped up. no more tears. God bless

  • @sizakelezikalala8167
    @sizakelezikalala8167 5 лет назад +908

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

    • @Dakarai_Knight
      @Dakarai_Knight 5 лет назад +33

      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.

    • @smileydog5941
      @smileydog5941 5 лет назад +182

      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

    • @AichaTube1
      @AichaTube1 5 лет назад +29

      It’s a glass that’s she writing on them she inverse the video

    • @xx4rch4xx
      @xx4rch4xx 5 лет назад +19

      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.

    • @saurabhsingh6325
      @saurabhsingh6325 5 лет назад +5

      Search lightboard on YT

  • @parvathys9035
    @parvathys9035 2 года назад +16

    How is she so pretty ,so intelligent and so calming all at the same time?

  • @amirforgotten2120
    @amirforgotten2120 5 лет назад +234

    The most beautiful math teacher!

  • @pearl5519
    @pearl5519 3 года назад +2

    when i see she has a video explaining what i study in math, i automatically become relieved

  • @greyq4990
    @greyq4990 6 лет назад +10

    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!

  • @Kellnaved
    @Kellnaved 3 года назад +22

    I think, all math teachers should start their explanation of integration by: "It´s like a zombie!"

  • @josuemarroquin366
    @josuemarroquin366 6 лет назад +9

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

  • @fehinawobodu4285
    @fehinawobodu4285 9 месяцев назад

    You really made this sound so much easier and put everything in layman terms, I really appreciate you

  • @waheedchowdhury5572
    @waheedchowdhury5572 6 лет назад +10

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

  • @RLG6728
    @RLG6728 4 года назад +1

    Thx for the video. Nobody has explained integration by parts better than you did. The liate method is soo helpful and time saving.

  • @hamzarashid4306
    @hamzarashid4306 4 года назад +13

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

  • @nightpilot154
    @nightpilot154 4 года назад

    Nancy, you are quite literally better than any calculus professor I've had!

  • @lassenielsen3570
    @lassenielsen3570 5 лет назад +7

    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 ;).

    • @rawstone4579
      @rawstone4579 5 лет назад +1

      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.

    • @ic_quackson
      @ic_quackson 4 года назад

      bruh you dumb af bruh

  • @natalieg8573
    @natalieg8573 3 года назад +2

    Sometimes I learn it, forget it, then have to come back to Nancy for help lol. Thank you Nancy!

  • @k0ana889
    @k0ana889 Год назад +14

    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.

  • @GabrielBichiashvili
    @GabrielBichiashvili 7 месяцев назад

    Finally ! Someone made crystal clear explanation for this. Thank you so much. you are amazing !

  • @kI_19
    @kI_19 6 лет назад +132

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

    • @RohanSingh-sl4gh
      @RohanSingh-sl4gh 6 лет назад +3

      ILATE

    • @chaudharyak9024
      @chaudharyak9024 6 лет назад +1

      ILATE OR LIATE we can use both

    • @ashishgupta-wz5du
      @ashishgupta-wz5du 6 лет назад

      @@chaudharyak9024 Which one to choose as "u" when you have log and inverse trig in the same problem?

    • @chaudharyak9024
      @chaudharyak9024 6 лет назад +4

      @@ashishgupta-wz5du use ILATE in that case....but u will get same answer by LIATE too.....just a bit complex and some rearrangement needed😉

    • @kumarupendra
      @kumarupendra 4 года назад

      ruclips.net/video/f3FO_nSpS9Q/видео.html

  • @davidroux7987
    @davidroux7987 5 лет назад

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

  • @hotelbooking6923
    @hotelbooking6923 6 лет назад +20

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

  • @saba6601
    @saba6601 Год назад

    Nancy-thanks for your lovely selfless effort in helping the maths diaspora. Regards Dr Sabapathy (Mathematician, Singapore).

  • @carlosrock793
    @carlosrock793 5 лет назад +3

    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.

  • @SpharrhGoldenboy
    @SpharrhGoldenboy 6 месяцев назад

    Best teacher has ever seen on RUclips..... you are the best NancyPi😢

  • @shraddhagadekar258
    @shraddhagadekar258 4 года назад +9

    Mam,your teaching method is excellent....my doubt about integration is clear now... thank you so much mam😊😊😊

  • @theodoresweger4948
    @theodoresweger4948 3 месяца назад

    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.

  • @cristiansg2433
    @cristiansg2433 5 лет назад +4

    You are a lifesaver Nancy, god bless you.

  • @adeyemimichael227
    @adeyemimichael227 2 месяца назад

    Has to be the most explicit explanation of such topic; Kudos

  • @metalmanny0000
    @metalmanny0000 6 лет назад +98

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

    • @NancyPi
      @NancyPi  6 лет назад +62

      🤓gl!

    • @atulchand9622
      @atulchand9622 5 лет назад +1

      @@NancyPi hi

    • @udthesciencedude2592
      @udthesciencedude2592 4 года назад +2

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

  • @Amy-qb5yl
    @Amy-qb5yl 5 лет назад +1

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

  • @vikram_bharadwaj
    @vikram_bharadwaj 6 лет назад +407

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

    • @moeidmehri2153
      @moeidmehri2153 5 лет назад

      what's your career?

    • @matthew75858
      @matthew75858 5 лет назад +9

      @@moeidmehri2153 MF calc class my man

    • @kumarupendra
      @kumarupendra 5 лет назад

      nex video of mine will be integration by partial fraction

    • @kumarupendra
      @kumarupendra 4 года назад +9

      ruclips.net/video/f3FO_nSpS9Q/видео.html

    • @IntegralsForYou
      @IntegralsForYou 4 года назад +7

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

  • @nicholaskong1673
    @nicholaskong1673 3 года назад

    I just started learning about gamma functions...and my professor said we needed to do integration of parts. Quick to a NancyPi video, right away! p.s. 9:56 best magic trick I've ever seen.

  • @llinsidecarrotll7061
    @llinsidecarrotll7061 2 года назад +4

    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

    • @llinsidecarrotll7061
      @llinsidecarrotll7061 2 года назад +3

      U should deffo go out with this guy he saved a burning orphanage

    • @llinsidecarrotll7061
      @llinsidecarrotll7061 2 года назад +2

      Thanks for lending me 3 of your lambos btw

    • @llinsidecarrotll7061
      @llinsidecarrotll7061 2 года назад +2

      Is it true you built all those schools in Somalia and Kenya btw??

    • @llinsidecarrotll7061
      @llinsidecarrotll7061 2 года назад +2

      Yes. Tried to keep it on the down low bc the press might go over there and interfere

    • @avexus7756
      @avexus7756 2 года назад +8

      @@llinsidecarrotll7061 I think you forgot to change accounts my guy

  • @The_Alpha_E
    @The_Alpha_E 8 месяцев назад +2

    This was a very good video, I understand complex numbers far better now

  • @dawnsview823
    @dawnsview823 5 лет назад +35

    "Instead of LIATE it would be "LYEE AYEE AYE AYE ET" LMAOOOOOOOO

  • @lola.o.
    @lola.o. 3 года назад +1

    I love that she accommodated those of us who hate skills and developing them :)

    • @spurti
      @spurti 3 года назад +1

      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.

    • @lola.o.
      @lola.o. 3 года назад +1

      @@spurti Yep!! 😁

  • @asjadrehman576
    @asjadrehman576 6 лет назад +8

    This is the calculus I was waiting for 😊

    • @alhassanridwan4830
      @alhassanridwan4830 6 лет назад

      Can you please take us through integration of partial fractions?

  • @Vishnug3_
    @Vishnug3_ 4 года назад +1

    You are literally the BEST math teacher!

  • @abab1247
    @abab1247 4 года назад +39

    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.

  • @Jack_Español
    @Jack_Español 2 года назад +2

    Hello Ms. NancyPi your explanation is so good, I understand you MORE than my professor you make things simple and not complicated. Keep up the good work! I'm in Engineering and calculus is one of my problem.

  • @ryan4621
    @ryan4621 4 года назад +3

    "What if you hate skills, and hate developing skills" lol Love it. Thank you, this video was truly helpful.

    • @uttkarshkohli-mathchannel8284
      @uttkarshkohli-mathchannel8284 4 года назад +1

      Hey! Since you wanted to learn about integration by parts, I thought you will enjoy the proof for it: ruclips.net/video/B0VA8OAFYHo/видео.html

  • @chatchai5699
    @chatchai5699 3 года назад +1

    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.

  • @dhirendrapsingh6758
    @dhirendrapsingh6758 3 года назад +3

    Informative. Useful. Calming. Inspiring. Life-changing. Enjoyable. Heart-warming. Other.

  • @jdzspace33
    @jdzspace33 5 лет назад +1

    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.

  • @calimaulud5708
    @calimaulud5708 4 года назад +8

    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.

  • @S_Luzipo
    @S_Luzipo 9 месяцев назад

    Woow thank you @NancyPi you made Integration by parts way easier to understand.

  • @PenandPaperScience
    @PenandPaperScience 3 года назад +8

    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 :)

  • @HiImAmazing123
    @HiImAmazing123 3 года назад

    Thank you for teaching me the easy method. These type of integrals scared me the most until now...big thanks girl 💛

  • @aidengonzalez8073
    @aidengonzalez8073 6 лет назад +35

    Just in time for midterms, thanks

  • @dariofuentes2819
    @dariofuentes2819 Год назад

    It is difficult to concentrate on the subject itself because this tutor is so beautiful.

  • @elizabethgluck3629
    @elizabethgluck3629 6 лет назад +5

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

  • @angelesfigueredo5740
    @angelesfigueredo5740 2 года назад

    The best Calc teacher I have ever had. Thank you so much.

  • @cliffordwilliams9597
    @cliffordwilliams9597 5 лет назад +4

    "And if this all sounds really confusing, that's because it is!" I love it @NancyPi!!!

  • @shaiksameer5125
    @shaiksameer5125 2 года назад +1

    yeah . I finally understood integration by parts from this video 😁😁😁😁. thank yo so much Nancy

  • @gabrielasantana3123
    @gabrielasantana3123 6 лет назад +6

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

  • @salmanahmedkhan3979
    @salmanahmedkhan3979 2 года назад

    Amazing Video. It helped a lot. Remembered all the integration which i forgot. Submitted Quiz successfully. Once again, thank you.

  • @anniemonroe9285
    @anniemonroe9285 2 года назад +21

    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!

    • @emmanuelmwale6095
      @emmanuelmwale6095 5 месяцев назад +3

      That was like the first question that popped up in my head too😂😂

  • @gracemetri752
    @gracemetri752 3 года назад

    Gosh this made everything so much easier. Thank you so much. Everything is now as clear as the glass ur writing on.

  • @drew102065
    @drew102065 5 лет назад +13

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

    • @kumarupendra
      @kumarupendra 5 лет назад

      ruclips.net/video/QcEfIXMw1AU/видео.html

  • @stephen8374
    @stephen8374 6 лет назад +4

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

  • @BarbaraRademacher
    @BarbaraRademacher Год назад

    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.

  • @journeytothedream6127
    @journeytothedream6127 5 лет назад +10

    you're Messi of Math😍

  • @dr.alexdegreat2640
    @dr.alexdegreat2640 Год назад

    thanks so much for your help, this is really helping me to the maximum of my understanding.Nancy I love your lecture as a distance learner. Much love from South Sudan

  • @WilsonMolina1
    @WilsonMolina1 6 лет назад +12

    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!

  • @mathildebrunet-mercier8743
    @mathildebrunet-mercier8743 2 года назад

    One of the best teachers i've seen, doesn't make me feel like a complete dumbass and is easy to understand thank you!! :)

  • @irgski
    @irgski 6 лет назад +7

    ...love when she says “integrand”!

  • @subhajitthakur1193
    @subhajitthakur1193 4 года назад +1

    you make me understand everything very smoothly ,,so hats off to you mam

  • @Hieuby_Dooby
    @Hieuby_Dooby 6 лет назад +15

    LIATE is so clutch thanks alot!

  • @manojnajeem8888
    @manojnajeem8888 3 года назад

    thanks nancy it's my pleasure to have you as my teacher

  • @mjl7810
    @mjl7810 6 лет назад +575

    You make me like math

  • @Theworldisfullofthem4000
    @Theworldisfullofthem4000 3 года назад +2

    I CAME TO DO MATH. left feeling in love

  • @jessrueda7331
    @jessrueda7331 6 лет назад +4

    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