Normal distribution function

Can one find an analytic function in the “normal” sense for the the following integral?

The answer is “no”. Here by “normal” sense, I mean a combination of algebraic, trig, exp, log functions. In fact, function

is the distribution function of normal distribution. One engineer came to me and asked this question. He spent hours trying to integrate this function. In the scientific world, everyone needs solid mathematical skills. If you happen to see this entry and you are a college engineering student, I hope this story helps you in some way.

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One Response to “Normal distribution function”

  1. LaTex in WordPress blog « Paviavio           Says:

    […] When I have to write mathematical expressions, I have to end to using either existing images (e.g.Normal distribution function, RSS — root sum square) or simple HTML (e.g. 24th Chinese Mathematical Olympiad, 24th Chinese […]

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