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Mathematics
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user153012
top 6% overall

Apparently, this user prefers to keep an air of mystery about them.

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  • Member for 5 years
  • 1,102 profile views
  • Last seen 39 mins ago

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Top posts (251) All Questions Answers | Votes Newest

50 Prove that $\int_{0}^{1}\sin{(\pi x)}x^x(1-x)^{1-x}\,dx =\frac{\pi e}{24} $ Oct 5 '14
43 Closed-form of $\int_0^1 \frac{\operatorname{Li}_2\left( x \right)}{\sqrt{1-x^2}} \,dx $ Sep 19 '14
24 Ramanujan's approximation for $\pi$ Aug 25 '14
22 Closed-form of $\int_0^1 \operatorname{Li}_3^3(x)\,dx$ and $\int_0^1 \operatorname{Li}_3^4(x)\,dx$ Oct 20 '14
17 Under what conditions will the rectangle of the Japanese theorem be a square? Dec 29 '14
17 Fibonacci numbers and the nontrivial zeros of the Riemann zeta function Aug 24 '15
16 Prove that $\int_0^1 \frac{1}{1+\ln^2 x}\,dx = \int_1^\infty \frac{\sin(x-1)}{x}\,dx $ Aug 26 '15
16 Integral ${\large\int}_0^\infty\frac{\ln x}{1+x}\sqrt{\frac{x+\sqrt{1+x^2}}{1+x^2}}\ \mathrm dx$ Aug 27 '14
15 Closed-form of $\int_0^\infty \frac{1}{\left(a+\cosh x\right)^{1/n}} \, dx$ for $a=0,1$ Jul 30 '15
14 $\sum_{p \in \mathcal P} \frac1{p\ln p}$ converges or diverges? Nov 19 '14
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