The value of \( \int_{-1}^{1}\left[\frac{d}{d x}\left(\tan ^{-1} \f...

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The value of \( \int_{-1}^{1}\left[\frac{d}{d x}\left(\tan ^{-1} \frac{1}{x}\right)\right] d x \) is
\( \mathrm{P} \)
W
(1) \( \pi / 2 \)
(2) \( \pi / 4 \)
(3) \( -\pi / 2 \)
(4) None of these
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