A primitive of \[\frac{x}{{{x}^{2}}+1}\] is [SCRA 1996]

\[\frac{1}{2}x{{\tan }^{-1}}x\]

\[\frac{{{\log }_{e}}({{x}^{2}}+1)}{2}\]

A primitive of \[\frac{x}{{{x}^{2}}+1}\] is [

1.	A primitive of \[\frac{x}{{{x}^{2}}+1}\] is [SCRA 1996]
A.	\[{{\log }_{e}}({{x}^{2}}+1)\]
B.	\[x{{\tan }^{-1}}x\]
C.	\[\frac{{{\log }_{e}}({{x}^{2}}+1)}{2}\]
D.	\[\frac{1}{2}x{{\tan }^{-1}}x\]
Answer» D. \[\frac{1}{2}x{{\tan }^{-1}}x\]

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A primitive of \[\frac{x}{{{x}^{2}}+1}\] is [SCRA 1996]

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