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Integrating from - to + infinity

  1. Oct 24, 2014 #1
    1. The problem statement, all variables and given/known data
    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.

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Oct 24, 2014 #2


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    It's zero because, like you noted, the integrand is odd.
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