Top network posts

• 29 Conjectured value of $\int_{0}^{\infty}\left(\frac{x-1}{\ln^2 x}-\frac{1}{\ln x}\right)\frac{\mathrm{d}x}{x^2+1}$
• 22 Intuition behind $(-\frac{1}{2})! = \sqrt{\pi}$
• 21 A golden ratio series from a comic book
• 20 Evaluate the double sum $\sum_{m=1}^{\infty}\sum_{n=1}^{m-1}\frac{ 1}{m n\left(m^2-n^2\right)^2}$
• 17 $ \sum_{k=2}^{\infty} \left( \frac{1}{k-1} - \frac{1}{k} \right) = 1$
• 15 Prove this bizarre integral:$\int_{0}^{\infty}{\sin(x^{\pi\over4})\over x[\cos(x^{\pi\over 4})+\cosh(x^{\pi \over 4})]}dx=1$
• 13 How to evaluate $\int_0^\pi \cos(x) \cos(2x) \cos(3x) \cos(4x)\, dx$
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