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Math Help - Volume of Revolution

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    Volume of Revolution

    Find the volume of region bounded by

    y = 6-2x-x^2

    and the line y=x+6

    rotated about the line y = 3.
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  2. #2
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    Quote Originally Posted by Shyam View Post
    Find the volume of region bounded by

    y = 6-2x-x^2

    and the line y=x+6

    rotated about the line y = 3.
    method of washers ...

    V = \pi \int_{-3}^0 [(6-2x-x^2)-3]^2 - [(x+6) - 3]^2 \, dx
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