Mathematics
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FDP
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Score Newest
answer
32
Proving that $\int_0^1 \frac{\arctan x}{x}\ln\left(\frac{1+x^2}{(1-x)^2}\right)dx=\frac{\pi^3}{16}$
Dec 25, 2018
answer
26
Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$?
Nov 4, 2014
answer
21
Integral: $\int_0^{\pi/12} \ln(\tan x)\,dx$
Oct 23, 2014
answer
21
Evaluating $\int_0^1 \frac{\arctan x \log x}{1+x}dx$
Jun 28, 2016
answer
18
Evaluate $\int_0^1x\log\left(1+x^2\right)\left[\log\left(\frac{1-x}{1+x}\right)\right]^3\operatorname{d}\!x$
Dec 2, 2014
answer
18
Relationship between Catalan's constant and $\pi$
Dec 27, 2018
answer
17
Evaluating $\int_0^1 \frac{x \arctan x \log \left( 1-x^2\right)}{1+x^2}dx$
Aug 21, 2016
question
16
Evaluating $\int_0^1 \frac{\arctan x \log x}{1+x}dx$
Jun 28, 2016
question
13
$\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
Jul 27, 2019
answer
12
Evaluate $\int_{0}^{\frac{\pi}{2}}\frac{dx}{\left(\sqrt{\sin x}+\sqrt{\cos x}\right)^2}$
Feb 23, 2019
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Decoupling a double integral

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