The value of the integral $\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{x + {\pi \over 4}} \over {2 - \cos 2x}}dx} $ is :

Question

The value of the integral

$\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{x + {\pi \over 4}} \over {2 - \cos 2x}}dx} $ is :

${{{\pi ^2}} \over {6\sqrt 3 }}$

${{{\pi ^2}} \over 6}$

${{{\pi ^2}} \over {3\sqrt 3 }}$

${{{\pi ^2}} \over {12\sqrt 3 }}$

Please login to view the detailed solution steps...