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Mathematics
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xpaul
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46
Evaluating the integral $\int_0^\infty \frac{\sin x} x \,\mathrm dx = \frac \pi 2$?
Mar 12, 2013
45
limit $\lim_{n\to ∞}\sin(\pi(2+\sqrt3)^n)$
Aug 23, 2016
37
Closed form for $\sum_{n=-\infty}^{\infty}\frac{1}{(n-a)^2+b^2}$.
May 9, 2013
36
Infinite sum of reciprocals of pentagonal numbers
May 30, 2015
27
Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$?
Apr 21, 2013
25
Funny identities
Apr 11, 2013
23
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
Apr 12, 2013
23
Closed form of $\int_{0}^{\infty} \frac{\tanh(x)\,\tanh(2x)}{x^2}\;dx$
Nov 11, 2014
22
Prove $\lim_{x \rightarrow 0} \frac {\sin(x)}{x} = 1$ with the epsilon-delta definition of limit.
Mar 13, 2013
18
Math Olympiad Algebra Question
Jun 5, 2014
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11
Solve a nonlinear PDE equation with a Neumann boundary condition
8
Animation of tangent line of a 3D curve
7
Explicit solution of a Hamiltonian system