Calculus II: Integration over polar curves

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  • เผยแพร่เมื่อ 13 ต.ค. 2024

ความคิดเห็น • 9

  • @MathforThought
    @MathforThought  3 ปีที่แล้ว +4

    In example 5, the first curve is r=5(1-sin(theta)) not r=5(1-cos(theta))

  • @teodorlepki1549
    @teodorlepki1549 3 ปีที่แล้ว +4

    you have a very soothing voice

  • @anjj21k
    @anjj21k 3 ปีที่แล้ว +4

    how did u get the shape to be that way for example #2? isnt it flipped upside down on the diagram

  • @AdityaTutika
    @AdityaTutika ปีที่แล้ว +1

    (i) how to know if we have to draw cardioid facing up or facing down.
    (ii) in example 5 why is it drawn facing down even if a/b=1

    • @MathforThought
      @MathforThought  ปีที่แล้ว +1

      I usually plot a few points to get a general shape.
      For example 5, sure I could have drawn it the other way, but the area won't change in any case so...

  • @IDareYou93
    @IDareYou93 3 ปีที่แล้ว +1

    Thank You!..

  • @jasonmantri2658
    @jasonmantri2658 3 ปีที่แล้ว

    in example 2, could we also find the negative angle of 7pi/6 and integrate with 11pi/6 as an alternative?

    • @MathforThought
      @MathforThought  3 ปีที่แล้ว

      No. The direction won't be right then.