The integral $\int\limits_{0}^{\frac{\pi}{2}} \frac{1}{3+2 \sin x+\cos x} \mathrm{~d} x$ is equal to :

Question

$\tan ^{-1}(2)$

$\tan ^{-1}(2)-\frac{\pi}{4}$

$\frac{1}{2} \tan ^{-1}(2)-\frac{\pi}{8}$

$\frac{1}{2}$

Please login to view the detailed solution steps...