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Math Help - Shells method problem

  1. #1
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    Shells method problem

    ok so my problem is
    Consider the given curves to do the following.
    y=2-x^2, y=x^2
    Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 1.

    I tried to get the height which i was told is (top-bottom) but isn't working for me. Any help?
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  2. #2
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    Quote Originally Posted by krnbluemonkey View Post
    ok so my problem is
    Consider the given curves to do the following.
    y=2-x^2, y=x^2
    Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 1.

    I tried to get the height which i was told is (top-bottom) but isn't working for me. Any help?
    V = 2\pi \int_a^b r(x) \cdot h(x) \, dx<br />

    V = 2\pi \int_{-1}^1 (1-x)[(2-x^2) - x^2] \, dx
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