\[\int_{{}}^{{}}{\frac{x{{\tan }^{-1}}x}{{{(1+{{x}^{2}})}^{3/2}}}\ dx=

1.	\[\int_{{}}^{{}}{\frac{x{{\tan }^{-1}}x}{{{(1+{{x}^{2}})}^{3/2}}}\ dx=}\]
A.	\[\frac{x+{{\tan }^{-1}}x}{\sqrt{1+{{x}^{2}}}}+c\]
B.	\[\frac{x-{{\tan }^{-1}}x}{\sqrt{1+{{x}^{2}}}}+c\]
C.	\[\frac{{{\tan }^{-1}}x-x}{\sqrt{1+{{x}^{2}}}}+c\]
D.	None of these
Answer» C. \[\frac{{{\tan }^{-1}}x-x}{\sqrt{1+{{x}^{2}}}}+c\]

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\[\int_{{}}^{{}}{\frac{x{{\tan }^{-1}}x}{{{(1+{{x}^{2}})}^{3/2}}}\ dx=}\]

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