\[\int{\frac{\sin x\,\,dx}{3+4{{\cos }^{2}}x}=}\] [Karnataka CET 2000]

1.	\[\int{\frac{\sin x\,\,dx}{3+4{{\cos }^{2}}x}=}\] [Karnataka CET 2000]
A.	\[\log (3+4{{\cos }^{2}}x)+c\]
B.	\[\frac{-1}{2\sqrt{3}}{{\tan }^{-1}}\left( \frac{\cos x}{\sqrt{3}} \right)+c\]
C.	\[\frac{-1}{2\sqrt{3}}{{\tan }^{-1}}\left( \frac{2\cos x}{\sqrt{3}} \right)+c\]
D.	\[\frac{1}{2\sqrt{3}}{{\tan }^{-1}}\left( \frac{2\cos x}{\sqrt{3}} \right)+c\]
Answer» D. \[\frac{1}{2\sqrt{3}}{{\tan }^{-1}}\left( \frac{2\cos x}{\sqrt{3}} \right)+c\]

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\[\int{\frac{\sin x\,\,dx}{3+4{{\cos }^{2}}x}=}\] [Karnataka CET 2000]

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