Mathematics
Paul Enta's user avatar
Paul Enta's user avatar
Paul Enta's user avatar
Paul Enta
  • Member for 7 years, 6 months
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  • Paris, France
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Physicist...̉̉̉̉̉̉̉̉ ̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉̉ ̉̉̉̉̉̉̉̉̉̉̉̉̉ ̉̉̉̉̉

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All Questions Answers
Score Newest
answer
21
Prove that $ \int_{0}^{c} \frac{\sin(\frac{x}{2})x~dx}{\sqrt{\cos(x) - \cos(c)}} = \sqrt{2} \pi \ln(\sec(\frac{c}{2}))$
Mar 18, 2018
answer
17
Finding the value of the following double integral
Mar 27, 2021
answer
16
Asymptotic expansion of $\int_0^{+\infty} \frac{ne^{-\sqrt{t}}}{1+n^2t^2}\,dt$
Nov 4, 2018
answer
16
Evaluating $\int_0^{\pi/2} \log(1 - x \cot x) \, dx\;$ (Is there a closed form?)
Mar 25, 2021
answer
14
How to show that $\int_0^\pi \arcsin{\left(\frac{\sin{x}}{\sqrt{5/4-\cos{x}}}\right)}dx=\frac{\pi^2}{4}$?
Dec 13, 2022
answer
13
A magnificent series for $\pi-333/106$
Dec 17, 2019
answer
12
Concerning this sum $\sum_{n=0}^{\infty}\frac{1}{4n+1}\left[\frac{1}{4^n}{2n \choose n}\right]^2=\frac{\Gamma^4\left(\frac{1}{4}\right)}{16\pi^2}$
Jan 1, 2019
answer
11
Is it true that $\int_0^1 \big(K(k^{1/2})\big)^2\,dk = \frac{7}2\zeta(3)$?
Feb 14, 2019
answer
10
Evaluating $\int_{1}^{\infty}\frac{1}{x^2}\prod_{k=1}^{n}\left[1-\frac{1}{2k+x}\right]\text{d}x$
Jan 11, 2019
answer
10
Evaluate $\int_0^1 \frac{\mathrm{d}x}{\sqrt{1-x^2}}\frac{x }{1-k^2x^2}\log\left(\frac{1-x}{1+x}\right)$
Feb 5, 2018
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9
Are these two new ways of representing odd zeta values as integrals known?
8
Two integral representations for $\zeta(3)$ from Zurab's integral and standard formulas for the gamma function
7
Invariance of an integral over SO(3) under permutation of parameters
7
Asymptotic Expansion of Bessel Function Integral
6
Iteration of a 2D map involving absolute value: phase transition?

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