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Ron Gordon's user avatar
Ron Gordon
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Author of Complex Integration: A Compendium of Smart and Little-Known Techniques for Evaluating Integrals and Sums

My greatest hits page. (a work in progress)

"Wir müssen wissen, wir werden wissen." - David Hilbert

"Who's laughing now [cloud]?" - Abraham Simpson

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Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right) \mathrm dx$
Nov 13, 2013
question
179
Symmetry of function defined by integral
Jan 1, 2013
answer
161
Collection of surprising identities and equations.
Sep 26, 2013
answer
109
Is it possible to simplify $\frac{\Gamma\left(\frac{1}{10}\right)}{\Gamma\left(\frac{2}{15}\right)\ \Gamma\left(\frac{7}{15}\right)}$?
May 30, 2013
answer
108
Some users are mind bogglingly skilled at integration. How did they get there?
Apr 25, 2014
answer
89
How to prove this identity $\pi=\sum\limits_{k=-\infty}^{\infty}\left(\frac{\sin(k)}{k}\right)^{2}\;$?
Mar 15, 2013
answer
85
Integrate $\int_0^{\pi/2} \frac{1}{1+\tan^\alpha{x}}\,\mathrm{d}x$
Dec 13, 2013
answer
68
A conjectured closed form of $\int\limits_0^\infty\frac{x-1}{\sqrt{2^x-1}\ \ln\left(2^x-1\right)}dx$
Oct 9, 2013
answer
51
How to find the integral $\int_{0}^{\infty}\exp(- (ax+b/x))\,dx$?
Feb 5, 2014
answer
51
Prove $\int_0^1\frac{x^2-2\,x+2\ln(1+x)}{x^3\,\sqrt{1-x^2}}\mathrm dx=\frac{\pi^2}8-\frac12$
Nov 8, 2013
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Symmetry of function defined by integral

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