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I need a hint to evaluate the integrals:

$ \int _{0}^{p}\tanh(\pi k)k\,dk\quad \text{and}\quad \int _{0}^{s-1/2}\tan(\pi k)k\,dk $ Here $p$ and $s$ are real numbers.

I know I can evaluate them by power series but how else can I evaluate these two integrals ?

I know I can expand $ \tanh(x) $ and $ \tan(x) $ into a power series but I would like to get some 'closed' result in terms of $ \Gamma (x) $ function or similar.

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    Damn... $ $ $ $ $ $2012-06-28

0 Answers 0