Volume with cross sections: triangle | AP Calculus AB | Khan Academy

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  • เผยแพร่เมื่อ 31 ม.ค. 2025

ความคิดเห็น • 26

  • @JakeDustin
    @JakeDustin 10 ปีที่แล้ว +39

    These videos save my life every single day.

  • @batman52000
    @batman52000 10 ปีที่แล้ว +27

    Your drawings are a world of help! Up until this point I was clueless as to how to visualize these shapes. Many thanks!

  • @stevencina6704
    @stevencina6704 5 ปีที่แล้ว +5

    Seriously the best channel for calculus tutorials. Your explanations earned me an A in Calc 1, and I'm hoping they do the same for 2 and 3. Thank you!

  • @ibraheemshaqqou7043
    @ibraheemshaqqou7043 ปีที่แล้ว +1

    Wow thank you my friend I didn't really understand this in class but now it makes sense

  • @BrezHurley
    @BrezHurley 10 ปีที่แล้ว +1

    Nice refresher of Calculus II basics. Great Video and commentary

  • @ds-mi4od
    @ds-mi4od 10 ปีที่แล้ว +4

    What step have you taken to move the material to Africa, because the youtube thing and web apps are Luxurious in some way here. Am from Pretoria, South Africa and really gained a lot from Khan's presentations. Thanks.

  • @youenvi
    @youenvi 7 ปีที่แล้ว +1

    thank u mr.khan u are the best

  • @axelbjarkar
    @axelbjarkar 3 ปีที่แล้ว +1

    Thanks king

  • @jeffw5902
    @jeffw5902 8 ปีที่แล้ว +3

    my eyes have been opened

  • @massivejester
    @massivejester 10 ปีที่แล้ว +8

    In Sweden we call this the "slice-method" :)

    • @benlinus9
      @benlinus9 7 ปีที่แล้ว +1

      massivejester That sounds so much more slick

    • @nanattechi
      @nanattechi 10 หลายเดือนก่อน

      same in india as well

  • @dtorresion
    @dtorresion 9 ปีที่แล้ว +4

    Im still not sure if i got all that

  • @EvryShotKillz29
    @EvryShotKillz29 10 ปีที่แล้ว +19

    I dont even understand shit!! I just watch it because it looks interesting ... So weird

  • @SurveyEngineering
    @SurveyEngineering 8 ปีที่แล้ว +1

    nice

  • @sjraneyumo6049
    @sjraneyumo6049 4 ปีที่แล้ว

    why is it a right triangle

  • @AZTECMAN
    @AZTECMAN 4 ปีที่แล้ว +1

    Looks like this thread is averaging about 3 comments per year.

  • @kedaariyer4887
    @kedaariyer4887 7 ปีที่แล้ว

    I have a question: When you're taking cross sections of a solid, does the height have to be proportional to the base or can the height remain constant? For example, if the cross sections were squares could the volume just be the integral of 2s (if 2 is the height) instead of s^2?

  • @blackfrancis33
    @blackfrancis33 4 ปีที่แล้ว

    Why would you call the base of the isosceles triangle "h". So confusing and hard to follow.

  • @aretwodeetwo1260
    @aretwodeetwo1260 9 ปีที่แล้ว +1

    I don't understand the point of doing that when you can simply find the integral of f(x)^2-g(x)^2.

    • @a1axel738
      @a1axel738 7 ปีที่แล้ว

      help picture what you're doing.

    • @arandomguymarra8612
      @arandomguymarra8612 5 ปีที่แล้ว +2

      That would only give you the area. Looking for volume here

    • @AZTECMAN
      @AZTECMAN 4 ปีที่แล้ว

      Sorry Aretwo, that would not give the correct solution.
      f(x)^2 - g(x)^2 does not equal
      (f(x) - g(x))^2, and neither of those are equal to
      (1/4)*(f(x) - g(x))^2 [area of a single triangular cross-section]

  • @cullenwatson8296
    @cullenwatson8296 5 ปีที่แล้ว

    Only 18 comments lol