JEE Main 202229 Jul, Morning shiftMathematicsEasyIntegral Calculus369× since 2002The integral ∫0π213+2sinx+cosx dx\int\limits_{0}^{\frac{\pi}{2}} \frac{1}{3+2 \sin x+\cos x} \mathrm{~d} x0∫2π3+2sinx+cosx1 dx is equal to :AOption A. tan−1(2)\tan ^{-1}(2)tan−1(2)BOption B. tan−1(2)−π4\tan ^{-1}(2)-\frac{\pi}{4}tan−1(2)−4πCOption C. 12tan−1(2)−π8\frac{1}{2} \tan ^{-1}(2)-\frac{\pi}{8}21tan−1(2)−8πDOption D. 12\frac{1}{2}21CheckSkip · show solution
