Answer

问题及解答

求 $\int_{0}^{1}\frac{-\ln t}{1-t}dt$.

Posted by haifeng on 2011-05-04 22:42:00 last update 2013-06-25 18:54:03 | Edit | Answers (0)

这个积分等于 $\zeta(2)$, 即 $\frac{\pi^2}{6}$.

详见 $\zeta(2)$ 探讨