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.

$\displaystyle

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

$

$\displaystyle

\int\int 4 - y

$