Re: How to integrate this by pen and pencil?



kiki wrote:
> Hi Daniel,
>
> I read the webpage you've provided... but I still don't understand your
> points...
>
> How to express the result of the integration?
>
> Thanks

Mathematica gives

(Cosh[2*x] - Sinh[2*x])*((Beta[-Cos[2*x] - I*Sin[2*x], I, 0] +
Beta[-Cos[2*x] - I*Sin[2*x], 1 + I, 0])/(-Cos[2*x] - I*Sin[2*x])^I +
Tan[x])

Beta is here Euler's incomplete beta function.

.


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