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Integrate the function e^(x^2)

  1. Mar 19, 2007 #1
    1. The problem statement, all variables and given/known data
    Integrate the function e^(-x^2) with definite integrals -infinity to X


    2. Relevant equations



    3. The attempt at a solution

    I know that the indefinite integral of this reduces to sqrt(pi), but dont know what to do with the definite integral. Is this a known result that I can simply plug in and use?What kind of substitution can I try? FYI- this is a variation of the CDF for a normally distributed function...
     
  2. jcsd
  3. Mar 19, 2007 #2

    Gib Z

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    Homework Helper

    Impossible in terms of elementary functions. Why not look up the error function though?

    EDIT: is X independent of x? I am unclear with your notation.
     
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