3 Proofs of the Second Fundamental Theorem of Calculus

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  • Опубліковано 10 січ 2025

КОМЕНТАРІ • 13

  • @sophiasharif6697
    @sophiasharif6697 Рік тому +1

    I used to think I understood the derivative, but this video made me realize I have some Fundamental misunderstandings. Thank you Trivial for such an informative and helpful video!!

  • @thenorthernphilosopher
    @thenorthernphilosopher Рік тому +2

    This is how you convert 3 calculus lectures into 6 minutes video making it 1000x times more comprehensive 😆

  • @bobmichael8735
    @bobmichael8735 7 місяців тому

    could you make this kind of videos for secondary school curriculum?

  • @sophiasharif6697
    @sophiasharif6697 Рік тому +1

    Also can you tell me where I could find more of the amazing music in the background? I couldn't get enough!

    • @trivial-math
      @trivial-math  Рік тому +2

      Thanks so much! Here's a link: ua-cam.com/video/-DrkIM91Waw/v-deo.html

    • @sophiasharif6697
      @sophiasharif6697 Рік тому

      @@trivial-math Thank you so much kind sir!

  • @alexanderkotnik2625
    @alexanderkotnik2625 11 місяців тому

    This sounds very English major of you 🙌. GOOD WORK EVAN

  • @GhostyOcean
    @GhostyOcean Рік тому

    I wonder how you would present doing an integral in polar form
    dxdy = r*drdθ
    with multiple levels of rigor. Or maybe arclength.

    • @brendawilliams8062
      @brendawilliams8062 6 місяців тому

      It seems they are presenting a fraction and making it as small as possible. A nice video for teaching

    • @brendawilliams8062
      @brendawilliams8062 6 місяців тому

      Professor Dave has a good video

  • @misterdragon9253
    @misterdragon9253 Місяць тому

    Why is the rectangle f(b-delta x)

    • @trivial-math
      @trivial-math  Місяць тому +1

      @@misterdragon9253 I’m using the value of f at the left endpoint of the interval to determine the height of each rectangle, and that’s the left endpoint of the last interval. See the notes on rigor at the end of the video for a more careful look at the heights of the rectangles!