Integrate the function e^(x^2)

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Homework Statement


Integrate the function e^(-x^2) with definite integrals -infinity to X


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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...
 

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  • #2
Gib Z
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Homework Statement


Integrate the function e^(-x^2) with definite integrals -infinity to X
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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