\[\int{\frac{dx}{7+5\cos x}=}\] [EAMCET 2002]

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

\[\frac{1}{\sqrt{6}}{{\tan }^{-1}}\left( \frac{1}{\sqrt{6}}\tan \frac{x}{2} \right)+c\]

\[\frac{1}{4}{{\tan }^{-1}}\left( \tan \frac{x}{2} \right)+c\]

\[\frac{1}{7}{{\tan }^{-1}}\left( \tan \frac{x}{2} \right)+c\]

\[\int{\frac{dx}{7+5\cos x}=}\] [EAMCET 200

1.	\[\int{\frac{dx}{7+5\cos x}=}\] [EAMCET 2002]
A.	\[\frac{1}{\sqrt{6}}{{\tan }^{-1}}\left( \frac{1}{\sqrt{6}}\tan \frac{x}{2} \right)+c\]
B.	\[\frac{1}{\sqrt{3}}{{\tan }^{-1}}\left( \frac{1}{\sqrt{3}}\tan \frac{x}{2} \right)+c\]
C.	\[\frac{1}{4}{{\tan }^{-1}}\left( \tan \frac{x}{2} \right)+c\]
D.	\[\frac{1}{7}{{\tan }^{-1}}\left( \tan \frac{x}{2} \right)+c\]
Answer» B. \[\frac{1}{\sqrt{3}}{{\tan }^{-1}}\left( \frac{1}{\sqrt{3}}\tan \frac{x}{2} \right)+c\]

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\[\int{\frac{dx}{7+5\cos x}=}\] [EAMCET 2002]

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