# Weird integral

## Main Question or Discussion Point

if we had that $$A_{i,j,k,l}$$ is a set of number could we obtain for the integral

$$\int_{-\infty}^{\infty} dV e^{-A_{i,j,k,l}x^{i}x^{j}x^{k}x^{l}} = C |A_{i,j,k,l}|^{-b}$$

here C and b are real constant, i am looking for a quartic or similar analogue to Gaussian integral, but can be defined as a generalization to the usual Gaussian integral for quartic and further terms ?

mathman