Volume of a solid

**kenshinofkin** · June 6th 2008, 10:04 AM

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.

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

$<br /> \int\int 4 - y<br />$

**galactus** · June 6th 2008, 10:24 AM

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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