MathematicsEasy210×since 2002Q3445The 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 :Atan−1(2)\tan ^{-1}(2)tan−1(2)Btan−1(2)−π4\tan ^{-1}(2)-\frac{\pi}{4}tan−1(2)−4πC12tan−1(2)−π8\frac{1}{2} \tan ^{-1}(2)-\frac{\pi}{8}21tan−1(2)−8πD12\frac{1}{2}21Check answerSkip