JEE Main 20198 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002If f(x)=2−xcosx2+xcosxf(x) = {{2 - x\cos x} \over {2 + x\cos x}}f(x)=2+xcosx2−xcosx and g(x) = log_ex, (x > 0) then the value of integral ∫−π4π4g(f(x))dx\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {g\left( {f\left( x \right)} \right)dx{\rm{ }}}−4π∫4πg(f(x))dx isAOption A. log_e3BOption B. log_e2COption C. log_e1DOption D. log_eeCheckSkip · show solution