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

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Answer 1 · 2016-12-01T15:46:50

You can't evaluate this integral by parts.

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

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

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