\[\int_{{}}^{{}}{\frac{3{{x}^{2}}}{{{x}^{6}}+1}dx=}\] [MNR 1981; MP PET 1988; RPET 1995]

\[3{{\tan }^{-1}}({{x}^{3}})+c\]

\[{{\tan }^{-1}}({{x}^{3}})+c\]

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

\[\int_{{}}^{{}}{\frac{3{{x}^{2}}}{{{x}^{6}}+1}dx=}\] [MNR 1981; MP PE

1.	\[\int_{{}}^{{}}{\frac{3{{x}^{2}}}{{{x}^{6}}+1}dx=}\] [MNR 1981; MP PET 1988; RPET 1995]
A.	\[\log ({{x}^{6}}+1)+c\]
B.	\[{{\tan }^{-1}}({{x}^{3}})+c\]
C.	\[3{{\tan }^{-1}}({{x}^{3}})+c\]
D.	\[3{{\tan }^{-1}}\left( \frac{{{x}^{3}}}{3} \right)+c\]
Answer» C. \[3{{\tan }^{-1}}({{x}^{3}})+c\]

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\[\int_{{}}^{{}}{\frac{3{{x}^{2}}}{{{x}^{6}}+1}dx=}\] [MNR 1981; MP PET 1988; RPET 1995]

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