How to evaluate
$$\int_0^\infty e^{-w^2\cos ^2 x-x} \, dx$$
I have no clue, indefinite integral also would be a help.
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1What is the argument of the cosine? – Ron Gordon Nov 17 '14 at 02:33
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You have a cosine with no argument – dustin Nov 17 '14 at 02:33
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@Ron Gordon typo due to a bug in Mathematica! It puts the argument before the function when copying! – Anixx Nov 17 '14 at 02:35
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1hint: $e^u=\sum_{n=0}^\infty \frac{u^n}{n!}$ – Rasmus Erlemann Nov 17 '14 at 02:42