Dear Community,

At the moment I'm using Maple, however i'm not satisfied by the way it does multivariate integration and I'm wondering if I should switch to Mathematica.

Could someone tell me how Mathematica would deal with this simple example problem:
A typical example (from gaussian beam optics) is to find the normalization constant N for
$E(x_1)=N exp[-ik x^T Q x ]$
using the conservation of energy
1/N=$\int \int E(x_1) E(x_1)^* dx_1dy_1$
where $*$ is complex conjugation,$Q \el R^{4x4}$ and has the property that $Q=Q^T$ and $x=[x_1 y_1 x_2 y_2 ]$.

Thanks!
Kind regards,
Carlas