Mathematics
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user246336
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View all questions and answers
All Questions Answers
Score Newest
answer
15
Prove that $\int_0^\infty\left(\arctan \frac1x\right)^2 \mathrm d x = \pi\ln 2$
Jun 7, 2019
answer
14
Experimental identities with Fibonacci series
May 24, 2018
answer
10
Calculate limit involving $\sin$ function
Oct 15, 2016
answer
10
Integrating $\int^\infty_ 0\frac{x^2}{e^{x^2} - 1}\,\mathrm dx$
May 20, 2018
answer
9
cancellation laws in a Ring
May 21, 2018
answer
9
Prove that $S = \{a^2 + b^2: a,b \in \Bbb N\}$ is closed under multiplication.
Oct 6, 2016
answer
8
Find $\int_{-\pi/2}^{\pi/2} \frac{\cos^3 x}{e^x+1} dx$
May 12, 2018
answer
8
Infinite prime product equals $\sqrt{5}$
May 26, 2018
answer
8
How to evaluate $\int_{-\infty}^{\infty}\frac{x^2e^x}{\left(1 + e^x\right)^2}dx$
May 23, 2018
answer
7
Sum of the Riemann-Zeta function at the integers
Jun 8, 2019

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