MathematicsMedium210×since 2002Q3368The value of ∫0π/2sin3xsinx+cosxdx\int\limits_0^{\pi /2} {{{{{\sin }^3}x} \over {\sin x + \cos x}}dx}0∫π/2sinx+cosxsin3xdx isAπ−28{{\pi - 2} \over 8}8π−2Bπ−24{{\pi - 2} \over 4}4π−2Cπ−12{{\pi - 1} \over 2}2π−1Dπ−14{{\pi - 1} \over 4}4π−1Check answerSkip