JEE Main 201815 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002The value of the integral ∫−π2π2sin4x(1+log(2+sinx2−sinx))dx\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {{{\sin }^4}} x\left( {1 + \log \left( {{{2 + \sin x} \over {2 - \sin x}}} \right)} \right)dx−2π∫2πsin4x(1+log(2−sinx2+sinx))dx is :AOption A. 0BOption B. 34{3 \over 4}43COption C. 38{3 \over 8}83 π\piπDOption D. 316{3 \over 16}163 π\piπCheckSkip · show solution
