Mathematics
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David H
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All Questions Answers
Score Newest
answer
80
Closed form for ${\large\int}_0^1\frac{\ln^2x}{\sqrt{1-x+x^2}}dx$
Sep 6, 2014
answer
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
answer
37
Distance between two points in spherical coordinates
Jun 13, 2014
answer
29
Why do some mathematical ideas seem counter-intuitive?
Oct 10, 2014
question
29
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
question
28
Integrals of integer powers of dilogarithm function
Aug 29, 2014
answer
26
Another beautiful integral (Part 2)
Oct 5, 2015
question
24
Definite integral of arcsine over square-root of quadratic
May 27, 2015
answer
23
What is $\int_0^1 \frac{\log \left(1-x^2\right) \sin ^{-1}(x)^2}{x^2} \, dx$?
Sep 9, 2016
answer
23
Interesting and unexpected applications of $\pi$
Feb 25, 2014
Top network posts
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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?
14
Why does the darkening of the Moon go from left-to-right during an eclipse?
13
Why does a blue sky at dusk appear nearly black through a telescope?
13
Why should people be moral even if there is no incentive or consequence for morality of a lack of?

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