I want to compute the volume of the solid that lies between the $xz$-plane, the $yz$-plane , the $xy$-plane, the planes with equations $x=1$ and $y=1$ and the surface with equation $z=x^2+y^4$.
Is it as follows?
It must hold that $0 \leq x \leq 1$, $0 \leq y \leq 1$.
So the volume of the solid described above is $\int_0^1 \int_0^1 (x^2+y^4) dxdy$. Is this right?
Also how can we compute the volume of the solid that lies between the plane with equation $z=16$ and the plane with equation $z=x^2+y^2$ ?