Fundamental theorem of calculus (Part 2) | AP Calculus AB | Khan Academy

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  • Опубликовано: 14 окт 2024
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    There are really two versions of the fundamental theorem of calculus, and we go through the connection here. Created by Sal Khan.
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    AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
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Комментарии • 30

  • @someonetoogoodforyou
    @someonetoogoodforyou 11 лет назад +46

    Listen, Sal. I love you.

  • @faichalayeva3677
    @faichalayeva3677 5 лет назад +33

    Even though my high school didn't have calculus courses, I started college knowing what to expect in calculus. Thanks to Khan Academy. Thank you.

  • @FlareGunDebate
    @FlareGunDebate 3 года назад +13

    Normally I 100% understand everything Sal say but this video scrambled my brains. Now that I'm oriented it makes sense but the notation is subtle. I think throwing some numbers in the mix would have helped me.

    • @UziMusic
      @UziMusic 2 месяца назад

      Yep, this is an absolute word soup, i haven't understood any of it, and its been over a week of everyday trying and trying.. it's not explained properly by anyone..

  • @caralisaswan
    @caralisaswan 11 лет назад +7

    I LOVE KHAN ACADEMY!!! :)

  • @TomAustinIII
    @TomAustinIII 3 года назад +2

    Gonna have to keep watching videos like a drone over and over. Had to rewind a lot. But the benefit is that you can rewind it as many times as you want. (Watches again)

  • @Cosme422
    @Cosme422 11 лет назад +7

    I love it! Just hope one day I can watch it in English :-)

  • @TRADERSFRIEND
    @TRADERSFRIEND 11 лет назад +2

    You are a genius......

  • @benno19891
    @benno19891 Год назад

    This is saving my life

  • @markcarranza2032
    @markcarranza2032 2 года назад

    thank you

  • @mahkramahkra7848
    @mahkramahkra7848 3 года назад +1

    Understanding, simple, and fun
    Thanks sir for explaining

  • @78anurag
    @78anurag 3 года назад +1

    Calculus is easier than I thought

  • @semkovych
    @semkovych 11 лет назад +2

    Join the club young padawan.

  • @mdshoyaibsarker4918
    @mdshoyaibsarker4918 4 года назад +1

    That's awesome ❤

  • @mohamedbadawy5691
    @mohamedbadawy5691 9 лет назад +1

    Awesome!

  • @debendragurung3033
    @debendragurung3033 7 лет назад +1

    Is c just a dummy domain in variable x , like some test charge in Gauss Electric Field Theory. Its my second encounter with use of such a hypothetical supposition. I thought Maths has got ridden of such supposition, but still cannot. Thank you so much this and other two videos on Fundamental theorems, cleared a lot though created some other confusions. I came to this video when I got stuck on multivariable calclulus. Now I have a lead how to go about exploring, lets hope I wont go crazy.......

  • @tonghaoqiu5610
    @tonghaoqiu5610 7 лет назад +2

    Hi I just have a couple questions on FTC. What exactly is FTC part 1, my prof did horrible job on explaining this. Is part 2 just saying the area from pt X to pt D is equal to the integral been evaluated on the interval [C,D] subtract the integral been evaluated on the interval [C,X]? And what do you mean when you say F'(X) = f(x)?
    Thanks!!

    • @rammaddirala6857
      @rammaddirala6857 9 месяцев назад

      watch his original video on FTC 1, Ik its been 6 years but yk better late than never :)

  • @rhoadess
    @rhoadess 11 лет назад +5

    The Fundamental Theorems of Calculus would make great tattoos! But I think I'll pass. Perhaps a T-shirt.

  • @lynny7868
    @lynny7868 Год назад

    0:45

  • @gosucoaching
    @gosucoaching 11 лет назад +5

    Wait... I'm 26... I should be inventing this stuff by myself not watching it on youtube!!! O_o

    • @ShanBojack
      @ShanBojack 9 месяцев назад +1

      You're 36 now so how's it going

  • @johnnyx767
    @johnnyx767 11 лет назад +7

    shouldnt of watched this hungry

  • @chestermicek
    @chestermicek 5 лет назад +4

    Calculus is as boring to me now as it was 30 years ago.

  • @kevin_lin
    @kevin_lin 8 лет назад +3

    You enunciate fundamental too much

  • @warmaxxx
    @warmaxxx 11 лет назад +12

    not everyone is issac newton