I had a question on how to solve for $A$ in the following question.
$$\int_{-\infty}^{\infty} \int_{-\infty}^{\infty} |\varphi(x,y)|^2\ dx dy = 1$$
where
$$\varphi(x,y)=A[\sin(2 \pi x)\sin(3 \pi y)+0.5\sin(3 \pi x)\sin(2 \pi y)]$$
If this can be done in Mathematica also please let me know how you did it.
Thank you!