# Integrating from - to + infinity

## Homework Statement

I am having trouble integrating ∫ (x = -∞ to +∞) x3e-αx2 dx part--is this 0 or 1/α2? And, could someone explain? I am pretty sure that, when

∫ (x =0 to +∞) x3e-αx2 dx = 1/α2

However, with x = -∞ to +∞, and the function of the equation being odd, I am lost.

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