\[\int_{{}}^{{}}{{{\tan }^{-1}}x\,dx=}\] [Roorkee 1977]

1.	\[\int_{{}}^{{}}{{{\tan }^{-1}}x\,dx=}\] [Roorkee 1977]
A.	\[x{{\tan }^{-1}}x+\frac{1}{2}\log (1+{{x}^{2}})\]
B.	\[x{{\tan }^{-1}}x-\frac{1}{2}\log (1+{{x}^{2}})\]
C.	\[(x-1){{\tan }^{-1}}x\]
D.	\[x{{\tan }^{-1}}x-\log (1+{{x}^{2}})\]
Answer» C. \[(x-1){{\tan }^{-1}}x\]

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\[\int_{{}}^{{}}{{{\tan }^{-1}}x\,dx=}\] [Roorkee 1977]

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