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How do you integrate #int e^x cos ^2 x^2 dx # using integration by parts?

1 Answer

Dec 1, 2016

You can't evaluate this integral by parts.

Explanation:

If you try #u = e^x#, then you'll need to integrate #cos^2(x^2) dx# which just uses a Frensel integral.

If you try #u = cos^2x^2#, then

#uv-int vdu = e^xcos^2x^2 + 4int x e^x sin(x^2) cos(x^2) dx#

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