The-value-of-the-integral-0-pi-x-dx-1-cos-sin-0-lt-lt-pi-is-

Question Number 53385 by gunawan last updated on 21/Jan/19

The value of the integral \underset{0}{\int^{π}} \frac{x d x}{1 + \cos α \sin α},

0 < α < π is

Answered by tanmay.chaudhury50@gmail.com last updated on 21/Jan/19

\frac{1}{1 + s i n α c o s α} \times ∣ \frac{x^{2}}{2} ∣_{0}^{π}

= \frac{π^{2}}{2 (1 + s i n α c o s α)}