JEE Main 20205 Sep, Morning shiftMathematicsMediumIntegral Calculus369× since 2002The value of ∫−π2π211+esinxdx\int\limits_{{{ - \pi } \over 2}}^{{\pi \over 2}} {{1 \over {1 + {e^{\sin x}}}}dx}2−π∫2π1+esinx1dx is:AOption A. π\piπBOption B. 3π2{{3\pi \over 2}}23πCOption C. π2{{\pi \over 2}}2πDOption D. π4{{\pi \over 4}}4πCheckSkip · show solution