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Math Help - Integration Help

  1. February 5th 2009, 12:37 PM #1
    My Little Pony
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    Integration Help

    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

    y = 28x-4x^2, y = 0



    about the y-axis.
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  2. February 5th 2009, 04:40 PM #2
    skeeter
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    Quote Originally Posted by My Little Pony View Post
    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

    y = 28x-4x^2, y = 0

    about the y-axis.
    find the limits of integration ...

    28x - 4x^2 = 0

    4x(7 - x) = 0

    use the method of cylindrical shells

    V = 2\pi \int_0^7 x(28x - 4x^2) \, dx
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