indefinite-integration

Question: $\int{\frac{\sin x\,\,dx}{3+4{{\cos }^{2}}x}=}$

1) $\log (3+4{{\cos }^{2}}x)+c$

2) $\frac{-1}{2\sqrt{3}}{{\tan }^{-1}}\left( \frac{\cos x}{\sqrt{3}} \right)+c$

3) $\frac{-1}{2\sqrt{3}}{{\tan }^{-1}}\left( \frac{2\cos x}{\sqrt{3}} \right)+c$

4) $\frac{1}{2\sqrt{3}}{{\tan }^{-1}}\left( \frac{2\cos x}{\sqrt{3}} \right)+c$

Solution:

Explanation: No Explanation

Integration by substitution

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