MathematicsMedium210×since 2002Q3448The 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 :Aπ263{{{\pi ^2}} \over {6\sqrt 3 }}63π2Bπ26{{{\pi ^2}} \over 6}6π2Cπ233{{{\pi ^2}} \over {3\sqrt 3 }}33π2Dπ2123{{{\pi ^2}} \over {12\sqrt 3 }}123π2Check answerSkip