\[\int_{{}}^{{}}{\frac{\sin 2x}{{{\sin }^{4}}x+{{\cos }^{4}}x}dx=}\] [RPET 1995]

\[{{\cot }^{-1}}({{\cot }^{2}}x)+c\]

\[{{\cot }^{-1}}({{\tan }^{2}}x)+c\]

\[{{\tan }^{-1}}({{\tan }^{2}}x)+c\]

\[{{\tan }^{-1}}({{\cot }^{2}}x)+c\]

\[\int_{{}}^{{}}{\frac{\sin 2x}{{{\sin }^{4}}x+{{\cos }^{4}}x}dx=}\] [

1.	\[\int_{{}}^{{}}{\frac{\sin 2x}{{{\sin }^{4}}x+{{\cos }^{4}}x}dx=}\] [RPET 1995]
A.	\[{{\cot }^{-1}}({{\tan }^{2}}x)+c\]
B.	\[{{\tan }^{-1}}({{\tan }^{2}}x)+c\]
C.	\[{{\cot }^{-1}}({{\cot }^{2}}x)+c\]
D.	\[{{\tan }^{-1}}({{\cot }^{2}}x)+c\]
Answer» C. \[{{\cot }^{-1}}({{\cot }^{2}}x)+c\]

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\[\int_{{}}^{{}}{\frac{\sin 2x}{{{\sin }^{4}}x+{{\cos }^{4}}x}dx=}\] [RPET 1995]

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