\[\int_{{}}^{{}}{\frac{x}{{{x}^{4}}+{{x}^{2}}+1}dx}\] equal to [MP PET 2004]

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

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

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

\[\int_{{}}^{{}}{\frac{x}{{{x}^{4}}+{{x}^{2}}+1}dx}\] equal to [MP P

1.	\[\int_{{}}^{{}}{\frac{x}{{{x}^{4}}+{{x}^{2}}+1}dx}\] equal to [MP PET 2004]
A.	\[\frac{1}{3}{{\tan }^{-1}}\left( \frac{2{{x}^{2}}+1}{3} \right)\]
B.	\[\frac{1}{\sqrt{3}}{{\tan }^{-1}}\left( \frac{2{{x}^{2}}+1}{\sqrt{3}} \right)\]
C.	\[\frac{1}{\sqrt{3}}{{\tan }^{-1}}(2{{x}^{2}}+1)\]
D.	None of these
Answer» C. \[\frac{1}{\sqrt{3}}{{\tan }^{-1}}(2{{x}^{2}}+1)\]