JEE Main 202225 Jun, Morning shiftMathematicsMediumIntegral Calculus369× since 2002The value of ∫0πecosxsinx(1+cos2x)(ecosx+e−cosx)dx\int\limits_0^\pi {{{{e^{\cos x}}\sin x} \over {(1 + {{\cos }^2}x)({e^{\cos x}} + {e^{ - \cos x}})}}dx}0∫π(1+cos2x)(ecosx+e−cosx)ecosxsinxdx is equal to:AOption A. π24{{{\pi ^2}} \over 4}4π2BOption B. π22{{{\pi ^2}} \over 2}2π2COption C. π4{\pi \over 4}4πDOption D. π2{\pi \over 2}2πCheckSkip · show solution
