definite-integral

Question: $\int_{0}^{\pi /2}{\frac{dx}{2+\cos x}}=$



1) $\frac{1}{\sqrt{3}}{{\tan }^{-1}}\left( \frac{1}{\sqrt{3}} \right)$
2) $\sqrt{3}{{\tan }^{-1}}\left( \sqrt{3} \right)$
3) $\frac{2}{\sqrt{3}}{{\tan }^{-1}}\left( \frac{1}{\sqrt{3}} \right)$
4) $2\sqrt{3}{{\tan }^{-1}}\left( \sqrt{3} \right)$
Solution: Explanation: No Explanation
Fundamental definite integration Definite integration by substitution

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