The value of the integral \[\int_{-1}^{1}{\frac{d}{dx}\left( {{\tan }^{-1}}\frac{1}{x} \right)}\,dx\] is

The value of the integral \[\int_{-1}^{1}{\frac{d}{dx}\left( {{\tan }^

1.	The value of the integral \[\int_{-1}^{1}{\frac{d}{dx}\left( {{\tan }^{-1}}\frac{1}{x} \right)}\,dx\] is
A.	\[\frac{\pi }{2}\]
B.	\[\frac{\pi }{4}\]
C.	\[-\frac{\pi }{2}\]
D.	None of these
Answer» D. None of these

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The value of the integral \[\int_{-1}^{1}{\frac{d}{dx}\left( {{\tan }^{-1}}\frac{1}{x} \right)}\,dx\] is

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