paper

Computation of a Definite Integral

arXiv:1402.3830

Abstract

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

arXiv comment7 pages, 1 figure