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Math Help - volume of a solid under a curve

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    volume of a solid under a curve

    Find the volume of the resulting solid if the region under the curve from to is rotated about the x-axis.


    Would the volume of this just be the integral from 0 to 1?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by cdlegendary View Post
    Find the volume of the resulting solid if the region under the curve from to is rotated about the x-axis.


    Would the volume of this just be the integral from 0 to 1?
    no. the integral of the function gives you the net area under the curve.

    use the disk method. V = \pi \int_0^1 \left( \frac 1{x^2 + 3x + 2} \right)^2~dx
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