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

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  • Опубліковано 11 сер 2014
  • This time, the cross section of our solid is given as the area between two curves.
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КОМЕНТАРІ • 26

  • @JakeDustin
    @JakeDustin 9 років тому +39

    These videos save my life every single day.

  • @batman52000
    @batman52000 9 років тому +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 4 роки тому +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!

  • @BrezHurley
    @BrezHurley 10 років тому +1

    Nice refresher of Calculus II basics. Great Video and commentary

  • @ibraheemshaqqou7043
    @ibraheemshaqqou7043 Рік тому +1

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

  • @ds-mi4od
    @ds-mi4od 10 років тому +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.

  • @jeffw5902
    @jeffw5902 8 років тому +3

    my eyes have been opened

  • @youenvi
    @youenvi 6 років тому +1

    thank u mr.khan u are the best

  • @massivejester
    @massivejester 10 років тому +8

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

    • @benlinus9
      @benlinus9 7 років тому +1

      massivejester That sounds so much more slick

    • @nanattechi
      @nanattechi 3 місяці тому

      same in india as well

  • @EvryShotKillz29
    @EvryShotKillz29 10 років тому +19

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

  • @axelbjarkar
    @axelbjarkar 2 роки тому +1

    Thanks king

  • @dtorresion
    @dtorresion 8 років тому +4

    Im still not sure if i got all that

  • @AZTECMAN
    @AZTECMAN 3 роки тому +1

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

  • @kedaariyer4887
    @kedaariyer4887 7 років тому

    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?

  • @SurveyEngineering
    @SurveyEngineering 7 років тому +1

    nice

  • @sjraneyumo6049
    @sjraneyumo6049 3 роки тому

    why is it a right triangle

  • @blackfrancis33
    @blackfrancis33 3 роки тому

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

  • @aretwodeetwo1260
    @aretwodeetwo1260 9 років тому +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 років тому

      help picture what you're doing.

    • @arandomguymarra8612
      @arandomguymarra8612 5 років тому +2

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

    • @AZTECMAN
      @AZTECMAN 3 роки тому

      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 років тому

    Only 18 comments lol