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Integral involving e^(x^2)

  1. Sep 28, 2008 #1
    i am solving a problem that involves taking the integral of an exponential to the power of -x^2. I would have no problem solving this integral if the limits were 0 to infinity but the limits i am solving for are an arbitrary a to infinity. Can anybody help?
  2. jcsd
  3. Sep 28, 2008 #2
    Sounds like a gaussian function:

    The anti-derivative is the error function, which is nonelementary.
  4. Sep 28, 2008 #3
    that verifies what i was thinking but i am still having trouble going about solving it. I think I am just not sure where to start. Thanks though at least I know I am not completely off track
  5. Sep 29, 2008 #4

    D H

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    Staff Emeritus
    Science Advisor

    You can't solve it, in terms of elementary functions, that is. As Tac-Tics already said, the error function is non-elementary.
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