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Evaluating gaussian integrals

  1. Sep 7, 2009 #1
    1. The problem statement, all variables and given/known data

    The book says to consider the gaussian distribution

    p(x) = Ae-m(x-a)2

    where A, m, and a are all positive, real constants.

    I have no idea how to evaluate this! The book says to look up the relevant integrals. I see the integral of e-x2is pi1/2 but I don't know how to relate that to this equation. My guess is the integral is Api1/2but I think m should appear somewhere in that equation.

    I also need to find the average for x <x> and the average of x2<x2> BUT when I try to find this by evaluating the integral of xp(x) from infinity to negative infinity I just get 0, and that doesn't seem correct.

    3. The attempt at a solution
  2. jcsd
  3. Sep 8, 2009 #2


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    Try a simple u-substitution, [itex]u=\sqrt{m}(x-a)[/itex]....
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