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Mathematics
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David H's user avatar
David H's user avatar
David H
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80
Closed form for ${\large\int}_0^1\frac{\ln^2x}{\sqrt{1-x+x^2}}dx$
Sep 6, 2014
50
Prove ${\large\int}_0^\infty\frac{\ln x}{\sqrt{x}\ \sqrt{x+1}\ \sqrt{2x+1}}dx\stackrel?=\frac{\pi^{3/2}\,\ln2}{2^{3/2}\Gamma^2\left(\tfrac34\right)}$
Jul 25, 2014
39
Distance between two points in spherical coordinates
Jun 13, 2014
30
Expressing the integral $\int_{0}^{1}\frac{\mathrm{d}x}{\sqrt{\left(1-x^3\right)\left(1-a^6x^3\right)}}$ in terms of elliptic integrals
Oct 25, 2014
29
Why do some mathematical ideas seem counter-intuitive?
Oct 10, 2014
28
Integrals of integer powers of dilogarithm function
Aug 29, 2014
27
Another beautiful integral (Part 2)
Oct 5, 2015
25
Definite integral of arcsine over square-root of quadratic
May 27, 2015
24
What is $\int_0^1 \frac{\log \left(1-x^2\right) \sin ^{-1}(x)^2}{x^2} \, dx$?
Sep 9, 2016
23
Interesting and unexpected applications of $\pi$
Feb 25, 2014
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104
Why is Luke searching for the First Jedi Temple?
16
How do we know the big bang didn't happen in an existing universe?
15
Why does the darkening of the Moon go from left-to-right during an eclipse?
14
How did Eratosthenes know the suns rays are parallel?
13
Why should people be moral even if there is no incentive or consequence for morality of a lack of?