Calculus BC: The Fundamental theorem of Calculus (PROOF)

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  • Опубліковано 10 лют 2025
  • Best proof on the internet

КОМЕНТАРІ • 17

  • @hifellow
    @hifellow 11 років тому +3

    This is the BEST explanation for the proof of the FTC that I have ever seen in 30 years of looking. Very good teaching methodology and class interaction. Thank You!!!

    • @hifellow
      @hifellow 9 років тому

      +poisenkake If you can do one better - I'll watch it!

  • @anaslahrichi
    @anaslahrichi 11 років тому +1

    The explanation is so fluid and intuitive.thank you for posting these videos.

  • @lerubikscubetherubikscube2813
    @lerubikscubetherubikscube2813 7 років тому

    Simple.Beautiful. Great explanation!

  • @casaateliers
    @casaateliers 9 років тому +2

    Thnx!! You're a great!! My teacher told me to just leave FTC 2 coz I won't understand & you're great I just understood it perfectly!!
    I loved your shirt!!

  • @101xaplax101
    @101xaplax101 10 років тому +1

    this guy is an awesome teacher! i hope he runs for president

  • @PsyopsCrespo
    @PsyopsCrespo 8 років тому +2

    Really good video! Finally understand it.

  • @mathismylife6096
    @mathismylife6096 11 років тому +1

    I love this presentation of FTC 2!!!!!!!
    Would you please do FTC 1 as that is really my point of confusion!!!
    THANKS

  • @modestkatongo9402
    @modestkatongo9402 4 роки тому

    Sir your explanation is brilliant but why haven't you done a video on solids of revolution.

  • @malikbrahimi7504
    @malikbrahimi7504 9 років тому +1

    Why does the sequence of x values start at index 0 as in {x0, x1, x2, ..., xn} but the sum begins at i=1? Seems like a cheeky way to make it work in the end, and thus your proof is flawed. It's one or the other. Start at zero or one.

    • @michaelscott4prez
      @michaelscott4prez 9 років тому +2

      The first endpoint is x_0 but the first rectangle width is \delta x_1. The widths are named after the right-most endpoint. You could choose the left-most endpoint if you prefer. It makes the proof different, not better. In fact, doing so would be an excellent exercise!

    • @Aman_iitbh
      @Aman_iitbh Рік тому

      yes proof is,wrong at every rectangle strip he is usinh ftc ,look closely its like circular reasoning ,more in meam value theorem he didmt showed f'(c) is not random c its equal to height of rectangular strip

  • @omnomnomben
    @omnomnomben 12 років тому

    This was fantastic!

  • @SuHAibLOL
    @SuHAibLOL 8 років тому +1

    This makes a lot of sense :D

  • @-doctor3102
    @-doctor3102 5 років тому

    طلاب اليدرسون خارج القطر شكد معدل الطب والقسط شكد 🤔

  • @mikegleeson4670
    @mikegleeson4670 11 місяців тому

    always enjoyed this video, however i do wonder that is relies entirely on f(x) being differentiable... and that's not required by FTOC. otherwise great

  • @pUyOl544
    @pUyOl544 11 років тому

    This is beautiful :')