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Math Help - Find the volume generated by rotating the given region about the specified line?

  1. #1
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    Find the volume generated by rotating the given region about the specified line?

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  2. #2
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    Using the washer method, the volume of revolution about the x-axis is:

    V_x=\pi\int_0^1 (x-x^6)dx

    You can do the volume around the y-axis:

    V_y=\pi\int_0^1\bigg(g(y)^2-h(y)^2\bigg) dy
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