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What is the antiderivative of # e^(x^2)#?

1 Answer

Dec 15, 2016

It is #sqrtpi/2# times a function called the imaginary error function.

Explanation:

The function #e^(x^2)# has an antiderivative that is not finitely expressible using elementary function.

You can look up the series expansions at #x=0# and at #x=oo# here

http://www.wolframalpha.com/input/?i=series+int+e%5E(x%5E2)+dx

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