Mathematics
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All Questions Answers
Score Newest
question
61
Prove that $\int_{0}^{1}\sin{(\pi x)}x^x(1-x)^{1-x}\,dx =\frac{\pi e}{24} $
Oct 5, 2014
question
46
Closed-form of $\int_0^1 \frac{\operatorname{Li}_2\left( x \right)}{\sqrt{1-x^2}} \,dx $
Sep 19, 2014
question
27
Ramanujan's approximation for $\pi$
Aug 25, 2014
question
24
Closed-form of $\int_0^1 \operatorname{Li}_3^3(x)\,dx$ and $\int_0^1 \operatorname{Li}_3^4(x)\,dx$
Oct 20, 2014
question
19
$\sum_{p \in \mathcal P} \frac1{p\ln p}$ converges or diverges?
Nov 19, 2014
answer
19
Closed Form for the Imaginary Part of $\text{Li}_3\Big(\frac{1+i}2\Big)$
Sep 15, 2014
answer
19
Prove that $\int_{0}^{1}\sin{(\pi x)}x^x(1-x)^{1-x}\,dx =\frac{\pi e}{24} $
Jun 6, 2017
question
17
Under what conditions will the rectangle of the Japanese theorem be a square?
Dec 29, 2014
question
17
Fibonacci numbers and the nontrivial zeros of the Riemann zeta function
Aug 24, 2015
question
17
Prove that $\int_0^1 \frac{1}{1+\ln^2 x}\,dx = \int_1^\infty \frac{\sin(x-1)}{x}\,dx $
Aug 26, 2015
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18
Fitting ellipse to 5 given points on the plane
13
Is there an easy way to hide comma (,) from the end of the indexed words?
11
Welcome sound in Mathematica
8
Is there a biography of Ramanujan for mathematicians?
8
What famous theorems or results were proven by female mathematicians?

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