Why does e^(8x^2) not have a closed integral form?

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abhaiitg
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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.
 
some wolfram but i don't know how i could use dat formulae here!