JEE Main 20231 Feb, Evening shiftMathematicsMediumIntegral Calculus369× since 2002The value of the integral ∫−π4π4x+π42−cos2xdx\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{x + {\pi \over 4}} \over {2 - \cos 2x}}dx}−4π∫4π2−cos2xx+4πdx is :AOption A. π263{{{\pi ^2}} \over {6\sqrt 3 }}63π2BOption B. π26{{{\pi ^2}} \over 6}6π2COption C. π233{{{\pi ^2}} \over {3\sqrt 3 }}33π2DOption D. π2123{{{\pi ^2}} \over {12\sqrt 3 }}123π2CheckSkip · show solution
