The integral I have is $$\iint _Dx^3y\:\mathrm{d}x\,\mathrm{d}y,$$ where $D:\:y=x^2,\:y=-x^2,\:x=1$.
I am not sure if I did the boundary right, is it correct this way? $$\int _0^1\left(\int _{-x^2}^{x^2}\:x^3y\,\mathrm{d}x\:\right)\mathrm{d}y$$
I just wanna figure out the boundary, no need to evaluate the integral.
