Integrating from - to + infinity

  • #1
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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.


Homework Equations


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The Attempt at a Solution


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Answers and Replies

  • #2
vela
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It's zero because, like you noted, the integrand is odd.
 

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