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Mathematics
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Svyatoslav's user avatar
Svyatoslav's user avatar
Svyatoslav
  • Member for 3 years, 11 months
  • Last seen this week
  • Novosibirsk, Россия
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Graduated from Novosibirsk University in 1988; for two years - postgraduate in the theoretical department (General relativity and field theory). Since 1990th work as a sales manager for international companies. Got a second (business) education (full-time MBA) in 2010-2011 in France. Still love mathematics - still learning with you and from you :)

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answer
26
$\int_0^{\pi/2}\int_0^{\pi/2}\frac{(\tan\alpha)(\tan\beta)}{\tan\alpha+\tan\beta} d\alpha d\beta=(0.9999999913...)(\pi/2)$? Seriously?
Nov 22, 2023
answer
23
Frullani like Trig integral
Dec 25, 2022
answer
20
Conjecture: The sequence $\frac{2}{n} \sum_{i=1}^n \sqrt{\frac{n}{i-\frac{1}{2}}-1}$ converges to $\pi$
Jan 24, 2023
question
18
How to find $\lim_{n\to\infty}\Big(\sum_{k=1}^n\sqrt{\frac{1}{k}-\frac{1}{n}}-\frac{\pi}{2}\sqrt n\Big)$?
Dec 13, 2022
answer
15
Using complex analysis, show that $\int_0^\infty\frac{\arctan(x)}{1+x^2}\,dx=\frac{\pi^2}8$
Oct 26, 2022
answer
14
How to determine the value of $\displaystyle f(x) = \sum_{n=1}^\infty\frac{\sqrt n}{n!}x^n$?
Mar 27
answer
14
Can we prove AM-GM Inequality using these integrals?
Sep 8, 2021
answer
13
Asymptotics of sum involving square roots
Aug 2
answer
12
Compute the integral: $\int_{0}^{\frac{\pi}{2}}\ln(\sec(x)+\tan(x))\csc(x)dx$
Jun 17, 2023
answer
12
A tough integral $\int_0^{\infty}\frac{\operatorname{sech}(\pi x)}{1+4x^2}\, \mathrm dx $
Jun 21, 2021