Question: Anyone know how to get an answer?


I was wondering if anyone has suggestions how to get answer to this integral?

I know how to do a discrete approximation, but I am looking for the closed form.


c>0. n is an integer>0. If someone knows how to do specific values of n, that would be interesting too!

Also, replacing the Chebyshev function by a monomial in x (i.e. x^n) would be equivalent.



`assuming`([int(tanh(c*x)*simplify(ChebyshevT(n, x))/sqrt(1-x^2), x = -1 .. 1)], [c > 0])

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