# Gaussian Integral Help

by TheMightyJ
Tags: gaussian, integral
 P: 550 I don't know if this is the easiest solution, but you can try u = x - w. The integral splits into three integrals, which can be solved easily. u = x-w du = dx Then, x = u+w, so x^2 = (u+w)^2, and the integral becomes: $$\int (u+w)^2 e^{-u^2}\,du$$