Evaluate: \[\int{\frac{1}{1+3{{\sin }^{2}}x+8{{\cos }^{2}}x}dx}\]

1.	Evaluate: \[\int{\frac{1}{1+3{{\sin }^{2}}x+8{{\cos }^{2}}x}dx}\]
A.	\[\frac{1}{6}{{\tan }^{-1}}(2\tan x)+C\]
B.	\[{{\tan }^{-1}}(2\tan x)+C\]
C.	\[\frac{1}{6}{{\tan }^{-1}}\left( \frac{2\tan x}{3} \right)+C\]
D.	None of these
Answer» D. None of these

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Evaluate: \[\int{\frac{1}{1+3{{\sin }^{2}}x+8{{\cos }^{2}}x}dx}\]

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