JEE Main 20245 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002The value of \int_\limits{-\pi}^\pi \frac{2 y(1+\sin y)}{1+\cos ^2 y} d y is :AOption A. π2\frac{\pi}{2}2πBOption B. π2\pi^2π2COption C. π22\frac{\pi^2}{2}2π2DOption D. 2π22 \pi^22π2CheckSkip · show solution