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Mathematics
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Svyatoslav's user avatar
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Svyatoslav
  • Member for 3 years, 8 months
  • Last seen more than a week ago
  • 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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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?
22
Frullani like Trig integral
20
Conjecture: The sequence $\frac{2}{n} \sum_{i=1}^n \sqrt{\frac{n}{i-\frac{1}{2}}-1}$ converges to $\pi$
18
How to find $\lim_{n\to\infty}\Big(\sum_{k=1}^n\sqrt{\frac{1}{k}-\frac{1}{n}}-\frac{\pi}{2}\sqrt n\Big)$?
15
Using complex analysis, show that $\int_0^\infty\frac{\arctan(x)}{1+x^2}\,dx=\frac{\pi^2}8$