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Math Help - Volume of a solid

  1. #1
    Junior Member
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    Volume of a solid

    Find the volume of the solid in the first octant that is bounded by the plane y+ z = 4, and the cylander y = x^2, and the xy and yz planes.

    Should I do dydx or dxdy? I am not sure about the regions.

    <br />
D = {(x,y) | ? <= y <= x^2, ? <= x <= y^\frac{1}{2} } ????<br />

    <br />
\int\int 4 - y<br />
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  2. #2
    Eater of Worlds
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    Let's try this assuming you are using double integration:

    \int_{0}^{2}\int_{0}^{x^{2}}(4-y)dydx=\frac{112}{15}
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