3 ms·
While we're here, I think that anyone who enjoys this article will probably like this answer to a question on math.stackexchange: https://math.stackexchange.com
by throwawaymath 8y ago
While we're here, I think that anyone who enjoys this article will probably like this answer to a question on math.stackexchange: https://math.stackexchange.com/questions/562694/integral-int-11-frac1x-sqrt-frac1x1-x-ln-left-frac2-x22-x1/565626#565626 https://math.stackexchange.com/questions/562694/integral-int....
The asker has an integral for which Mathematica and Maple both failed to resolve a closed form solution. Then they use a symmetry to break up the integral from 0 to infinity into two parts, substitute, integrate, substitute again and finally apply the residue theorem.