JEE MAIN - Mathematics Hindi (2022 - 29th July Morning Shift - No. 6)

समाकलन $$\int\limits_{0}^{\frac{\pi}{2}} \frac{1}{3+2 \sin x+\cos x} \mathrm{~d} x$$ बराबर है :
$$\tan ^{-1}(2)$$
$$ \tan ^{-1}(2)-\frac{\pi}{4} $$
$$ \frac{1}{2} \tan ^{-1}(2)-\frac{\pi}{8} $$
$$\frac{1}{2}$$

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