Mathematics
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Frank W's user avatar
Frank W's user avatar
Frank W
  • Member for 5 years, 8 months
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  • Austin, TX, USA
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All Questions Answers
Score Newest
answer
24
Evaluating integral $\int_0^1 \frac{x-x^2}{\sin \pi x} dx = \frac{7 \zeta(3)}{\pi^3}$
May 24, 2018
answer
23
Infinite sum converging to 2
May 2, 2018
answer
12
How can I prove that $\int _{-1}^{1} \frac{1}{x} dx =0 $
Jan 6, 2019
answer
11
Integrating $\frac{\arctan x}{x\sqrt{\smash[b]{1-x^2}}}$
Jun 2, 2018
question
10
Proving $\sum\limits_{k=0}^{\infty}\binom {m-r+s}k\binom {n+r-s}{n-k}\binom {r+k}{m+n}=\binom rm\binom sn$
Jun 12, 2018
answer
9
Evaluate $\int_{0}^{\pi} \log \left(m^2-2m\cos x+1\right)\: dx$
May 5, 2018
answer
8
Prove that $\displaystyle\int_{0}^{\frac{1}{\sqrt{3}}}\frac{\arctan\left(\frac{1}{\sqrt{1-2x^2}}\right)}{1+x^2} \mathrm{dx}=\frac{13\pi^2}{288}$
Jun 17, 2022
answer
8
How to compute $\zeta'(0)$?
May 8, 2018
answer
7
$ \sqrt[3]{a} + \sqrt[3]{b} + \sqrt[3]{c} = \sqrt[3]{\sqrt[3]{2} -1 } $ for rational $a,b,c$
Oct 29
answer
7
A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$
Dec 23, 2018
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