Tuesday, 6 May 2014

calculus - How do you integrate intinfty0fracacos(cx)a2+x2dx?

This integral has been haunting me for a while now, as it's eluded every method of integration I could come up with (u-substitution, integration by parts, trigonometric substitution, and even Feynman's method). I realize it's non-elementary, but I can't figure out how to find the definite integral. I know you'll need to use Feynman's method, but I'm at a loss.



I don't know if this will help, but a and c are both positive.




To be clear, I want to know how to integrate it, not what the value is.

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