indefinite-integration

Question: $\int_{{}}^{{}}{{{\tan }^{-1}}x\,dx=}$

1) $x{{\tan }^{-1}}x+\frac{1}{2}\log (1+{{x}^{2}})$

2) $x{{\tan }^{-1}}x-\frac{1}{2}\log (1+{{x}^{2}})$

3) $(x-1){{\tan }^{-1}}x$

4) $x{{\tan }^{-1}}x-\log (1+{{x}^{2}})$

Solution:

Explanation: No Explanation

Integration by parts

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