MathematicsMedium210×since 2002Q3360The 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 :A0B34{3 \over 4}43C38{3 \over 8}83 π\piπD316{3 \over 16}163 π\piπCheck answerSkip