indefinite-integration

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



1) $\frac{x+{{\tan }^{-1}}x}{\sqrt{1+{{x}^{2}}}}+c$
2) $\frac{x-{{\tan }^{-1}}x}{\sqrt{1+{{x}^{2}}}}+c$
3) $\frac{{{\tan }^{-1}}x-x}{\sqrt{1+{{x}^{2}}}}+c$
4) None of these
Solution: Explanation: No Explanation
Integration by parts

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