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[tex]P(x)= \frac{1}{\sigma \sqrt{2\pi}} e ^ \frac { -(x - \mu )^2}{2 \sigma ^2 }[/tex]

This is of course the normal distribution curve. When [tex] \mu = 0[/tex] and [tex] \sigma = 1[/tex] I can integrate this from minus infinity to positive infinity no problem using polar coordinates and a bit of multivariable calculus. The question I have, is, is it at all possible to do this if one leaves [tex] \mu[/tex] and [tex]\sigma[/tex] in as generic parameters? I would think so, but I'm not sure. No need to give a worked through example, just, is it possible at all to fit it to some form? Or is it just that with those parameters set to 0 and 1 that this is an integrable function?

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# Tricky Integral

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