JEE Main 201815 Apr, Evening shiftMathematicsMediumIntegral Calculus369× since 2002The value of integral ∫π43π4x1+sinxdx\int_{{\pi \over 4}}^{{{3\pi } \over 4}} {{x \over {1 + \sin x}}dx}∫4π43π1+sinxxdx is :AOption A. π2\pi \sqrt 2π2BOption B. π(2−1)\pi \left( {\sqrt 2 - 1} \right)π(2−1)COption C. π2(2+1){\pi \over 2}\left( {\sqrt 2 + 1} \right)2π(2+1)DOption D. 2π(2−1)2\pi \left( {\sqrt 2 - 1} \right)2π(2−1)CheckSkip · show solution
