Today's calculation of Integral 352
Source: 2008 Kochi University entrance exam/Science
June 28, 2008
calculusintegrationlimittrigonometrylogarithmsinequalitiesfunction
Problem Statement
Prove the following inequality.
1\leq \lim_{n\to\infty} \int_{\frac{1}{n}}^{\frac{\pi}{2}} \frac{\pi \sin x}{x(\pi \minus{}x)}\ dx<3.