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 Jul 4 asked Determine the coefficients of a polynomial knowing its roots May 12 awarded Yearling Nov 16 comment $\int_{0}^{\frac{\pi}{2}}\cos{x}\sqrt{1+\tan{x}}dx$ Another form of this integral is $$I=\int_{0}^{1}\sqrt{1+\frac{y}{\sqrt{1-y^{2}}}}\mathrm{d}y$$ and maybe it can help. Nov 10 comment Closed form for the following sum @DanielFischer Good point, I totally missed that. Maybe it helps! Nov 10 comment Closed form for the following sum $|B_{2p}|$ is the absolute value for the Bernoulli numbers. I've tried splitting it into 3 sums and fiddling around with the bernoulli numbers, but no result. Nov 10 asked Closed form for the following sum Jun 15 comment Infinitesimal $SO(N)$ transformations Yes I know (personally I don't like to write in this manner), but I wanted to keep the same notation as the OP used. Jun 15 answered Infinitesimal $SO(N)$ transformations Jun 13 awarded Teacher Jun 13 awarded Editor Jun 13 revised Computing $\int_0^\infty \frac{\log x}{\exp x} \ dx$ added 6 characters in body Jun 13 answered Computing $\int_0^\infty \frac{\log x}{\exp x} \ dx$ May 17 comment Formula for Sum of Logarithms $\ln(n)^m$ Some years ago I found this expression $\sum_{i=1}^n\mathrm{ln}^2i=\mathrm{ln}^2n!-2\mathrm{ln}n!\mathrm{ln}(2)_{n-2}+2‌​\sum_{i=1}^{n-1}\mathrm{ln}i\mathrm{ln}i!$. I can remember having some troubles to compute the last term $2\sum_{i=1}^{n-1}\mathrm{ln}i\mathrm{ln}i!$, but maybe this result sparks some ideas. May 12 awarded Scholar May 12 awarded Supporter May 12 accepted On the Hurwitz Zeta Function May 12 awarded Student May 12 asked On the Hurwitz Zeta Function