# Math Help - seting up this double integral

1. ## seting up this double integral

i need to do this double integral in maple and i'm not sure what the bounds should be for x, the problem reads to find the volume of the solid under the surface z=(x^3)*(y^4)+x(y^2) and above the region bounded by the curves y=(x^3)-x and y=x^3 for x >=0, can anyone help find the x bounds?

$y=x^3-x$ and $y=x^3$ intersect only for $x=0$, so I take it that $\int_0^\infty \int_{x^3-x}^{x^3}\, dy\, dx$ should be about right.