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Mathematics
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tired
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34
Conjectured value of $\int_{0}^{\infty}\left(\frac{x-1}{\ln^2 x}-\frac{1}{\ln x}\right)\frac{\mathrm{d}x}{x^2+1}$
Jul 18, 2016
23
A golden ratio series from a comic book
Oct 8, 2015
22
Evaluate the double sum $\sum_{m=1}^{\infty}\sum_{n=1}^{m-1}\frac{ 1}{m n\left(m^2-n^2\right)^2}$
May 22, 2015
22
Intuition behind $(-\frac{1}{2})! = \sqrt{\pi}$
Aug 21, 2015
19
Proving $\left(1-\frac13+\frac15-\frac17+\cdots\right)^2=\frac38\left(\frac1{1^2}+\frac1{2^2}+\frac1{3^2}+\frac1{4^2}+\cdots\right)$
Oct 7, 2017
18
Prove that $ \int_0^\infty \frac{\cos(2\pi x^2)}{\cosh^2(\pi x)}dx=\frac 14$?
Oct 27, 2016
18
Limit of $\lim_{t \to \infty} \frac{ \int_0^\infty \cos(x t) e^{-x^k}dx}{\int_0^\infty \cos(x t) e^{-x^p}dx}$
Dec 7, 2016
17
$ \sum_{k=2}^{\infty} \left( \frac{1}{k-1} - \frac{1}{k} \right) = 1$
Feb 4, 2017
15
Asymptotic evaluation of $\int_0^{\pi/4}\cos(x t^2)\tan^2(t)dt$
Oct 4, 2016
15
How to evaluate $I=\int\limits_0^{\pi/2}\frac{x\log{\sin{(x)}}}{\sin(x)}\,dx$
Mar 2, 2015
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How to handle answers which are only CAS output?