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.
The Attempt at a Solution