Integrating e^(8x^2) - Solutions & Steps

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Homework Statement



integerate e^(8x^2)

Homework Equations





The Attempt at a Solution



its seems it is not having closed integeral form.
 
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They're asking you to take an indefinite integral of that? It doesn't have an elementary antiderivative, but the erf(x) is used to take definite integrals, so if they haven't taught you about that, I'm guessing you have the problem wrong.
 
no erff function can be integerated i guess
 
some wolfram but i don't know how i could use dat formulae here!
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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