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arXiv · 1402.3830

Computation of a Definite Integral

Juan Arias de Reyna
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Abstract

As an application of Cauchy's Theorem we prove that $\int_0^1\arctan\left({\arctanh x-\arctan x\over \pi+\arctanh x-\arctan x}\right) {dx\over x}= {\pi\over 8}\log{\pi^2\over 8}$ answering a question first posted in Mathematics Stack Exchange and then in MathOverflow.

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Juan Arias de Reyna. 2014-02-16. Computation of a Definite Integral. https://arxiv.org/abs/1402.3830

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