find-0-pi-2-x-sinx-dx-

Question Number 125034 by mathmax by abdo last updated on 07/Dec/20

find \int_{0}^{\frac{π}{2}} \frac{x}{sinx} dx

Commented by Olaf last updated on 07/Dec/20

The Catalan constant K has many

expressions . One of them is :

K = \frac{1}{2} \int_{0}^{\frac{π}{2}} \frac{x}{\sin x} d x

\Rightarrow \int_{0}^{\frac{π}{2}} \frac{x}{\sin x} d x = 2 K \approx 1, 831931188

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