Mathematics
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user97357329
  • Member for 3 years, 4 months
  • Last seen more than a week ago
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All Questions Answers
Score Newest
answer
13
Conjectural closed-form of $\int_0^1 \frac{\log^n (1-x) \log^{n-1} (1+x)}{1+x} dx$
Oct 29, 2019
answer
13
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
answer
12
Evaluating $\int_0^1\frac{\arctan x\ln\left(\frac{2x^2}{1+x^2}\right)}{1-x}dx$
Aug 7, 2020
answer
11
Compute $\int_0^1\frac{\ln x\operatorname{Li}_2(x^2)}{\sqrt{1-x^2}}dx$
Nov 7, 2019
question
11
Two very advanced harmonic series of weight $5$
Sep 5, 2019
answer
10
Two very advanced harmonic series of weight $5$
Sep 5, 2019
answer
9
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
answer
8
How can you approach $\int_0^{\pi/2} x\frac{\ln(\cos x)}{\sin x}dx$
Aug 16, 2020
answer
8
How to approach $\sum _{n=1}^{\infty } \frac{16^n}{n^4 \binom{2 n}{n}^2}$?
Aug 21, 2020
answer
8
Unexpected appearances of $\pi^2 /~6$.
Jan 18, 2020

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