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user97357329
  • Member for 5 years, 5 months
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18 Offered bounties for 2,200 reputation

6 votes
2 answers
312 views
+100

Ways to tackle the integral $\int_{0}^{\frac{\pi}{4}}\operatorname{Li}_3(\tan^4 x) \, dx$

8 votes
3 answers
1k views
+100

Prove $\int_{0}^{1}\frac1k K(k)\ln\left[\frac{\left(1+k \right)^3}{1-k} \right]\text{d}k=\frac{\pi^3}{4}$

3 votes
0 answers
314 views
+100

Two tough integrals with logarithms and polylogarithms

12 votes
1 answer
1k views
+100

An atypical integral with arctan, log, and radical

11 votes
1 answer
864 views
+100

An intriguing integral representation of $\zeta^2(3)$

8 votes
1 answer
449 views
+500

An atypical special harmonic series

18 votes
2 answers
1k views
+100

How to find $\operatorname{P.V.}\int_0^1 \frac{1}{x (1-x)}\arctan \left(\frac{8 x^2-4 x^3+14 x-8}{2 x^4-3 x^3-11 x^2+16 x+16}\right) \textrm{d}x$?

23 votes
6 answers
1k views
+100

Evaluate $\int_{0}^{\pi/4}x\ln^{2}(\sin(x))dx$

16 votes
3 answers
928 views
+100

Prove: $\int_0^{\infty} \frac{\ln{(1+x)}\arctan{(\sqrt{x})}}{4+x^2} \, \mathrm{d}x = \frac{\pi}{2} \arctan{\left(\frac{1}{2}\right)} \ln{5}$

6 votes
2 answers
377 views
+50

Computing $\sum_{n=1}^\infty\frac{(-1)^nH_n^2}{2n+1}$ in an alternative way

13 votes
3 answers
683 views
+100

How can you approach $\int_0^{\pi/2} x\frac{\ln(\cos x)}{\sin x}dx$

10 votes
4 answers
616 views
+50

How to evaluate $\int_0^{\pi/2} x\ln^2(\sin x)\textrm{d}x$ in a different way?

9 votes
2 answers
937 views
+100

Evaluating $\int_0^1\frac{\arctan x\ln\left(\frac{2x^2}{1+x^2}\right)}{1-x}dx$

4 votes
2 answers
522 views
+100

The closed-form of $\sum_{n=0}^{\infty}\frac{(-1)^n H^{(2)}_{n}}{(2n+1)^2} $

9 votes
6 answers
699 views
+100

Computing the value of $\operatorname{Li}_{3}\left(\frac{1}{2} \right) $

34 votes
8 answers
2k views
+100

Evaluating $\int^1_0 \frac{\log(1+x)\log(1-x) \log(x)}{x}\, \mathrm dx$

15 votes
2 answers
828 views
+100

Proving a series for the Watson Triple Integrals?

42 votes
7 answers
7k views
+200

Closed Form for the Imaginary Part of $\text{Li}_3\Big(\frac{1+i}2\Big)$