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user97357329
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16
Help on this integral $I=\int_0^1 \frac{x \arctan(x)}{1-x^2}\ln\left(\frac{2}{1+x^2}\right) dx$
Feb 17, 2022
14
A daunting double integral with a simple closed form
Sep 26, 2023
13
An atypical integral with arctan, log, and radical
Oct 27, 2023
13
Conjectural closed-form of $\int_0^1 \frac{\log^n (1-x) \log^{n-1} (1+x)}{1+x} dx$
Oct 29, 2019
12
How to prove $\int_0^1 \frac{\arctan^2(x)\ln\left(\frac{x}{(1-x)^2}\right)}x \, \mathrm{d}x=G^2$?
Mar 17, 2022
12
A somewhat intriguing dilogarithmic integral
Jul 24, 2023
12
Evaluating $\int_0^1\frac{\arctan x\ln\left(\frac{2x^2}{1+x^2}\right)}{1-x}dx$
Aug 7, 2020
11
Two very advanced harmonic series of weight $5$
Sep 5, 2019
11
An intriguing integral representation of $\zeta^2(3)$
Oct 16, 2023
11
Compute $\int_0^1\frac{\ln x\operatorname{Li}_2(x^2)}{\sqrt{1-x^2}}dx$
Nov 7, 2019