Mathematics
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xuce1234
  • Member for 9 years, 1 month
  • Last seen more than 5 years ago
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question
15
Evaluate $\int_0^1\frac{\ln(1-x)}{x}\text{Li}_3\left(\frac{1+x}{2}\right)dx$ , $\int_0^1\frac{\ln^2(1-x)}{x}\text{Li}_2\left(\frac{1+x}{2} \right)dx$
Oct 12, 2014
question
13
Inverse Trigonometric Integrals
Oct 21, 2014
question
9
How to calculate the closed form of the series
Oct 27, 2014
question
8
Integrals of the type $\int_0^\frac{\pi}{2} x^3 \ln^{2}(\sin x)dx$
Oct 13, 2014
question
7
Evaluate $\int_{0}^{1} \frac{\left[\rm{Li}_2\left(\frac{1}{2} \right)-\rm{Li}_2\left(\frac{1 + x}{2}\right)\right]\ln( 1 - x)}{1 + x}\,dx$
Oct 12, 2014
question
6
Integrating $\int_0^{\pi/2}{x^2}\ln^2(\sin x)\ln(\cos x)dx$ and $\int_0^{\pi/2}x\ln(\sin x)\ln^2(\cos x)dx$
Oct 18, 2014
question
6
Three integral involving polylogarithm function
Oct 27, 2014
answer
5
Closed form of $\sum_{n=1}^{\infty} \left(\frac{H_n}{n}\right)^4$
Apr 5, 2017
question
4
How to calculate the value of the special integral
Oct 11, 2014
question
4
How to calculate the closed form of the Euler Sums
Aug 31, 2015

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