JEE Main 202329 Jan, Evening shiftMathematicsEasyIntegral Calculus369× since 2002The value of the integral ∫1/22tan−1xxdx\int\limits_{1/2}^2 {{{{{\tan }^{ - 1}}x} \over x}dx}1/2∫2xtan−1xdx is equal to :AOption A. π2loge2{\pi \over 2}{\log _e}22πloge2BOption B. π4loge2{\pi \over 4}{\log _e}24πloge2COption C. 12loge2{1 \over 2}{\log _e}221loge2DOption D. πloge2\pi {\log _e}2πloge2CheckSkip · show solution
