MathematicsMedium210×since 2002Q3434The 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:Aπ24{{{\pi ^2}} \over 4}4π2Bπ22{{{\pi ^2}} \over 2}2π2Cπ4{\pi \over 4}4πDπ2{\pi \over 2}2πCheck answerSkip