1.

\[\int_{-1}^{1}{x{{\tan }^{-1}}x\,dx}\] equals                                      [RPET 1997]

A.                 \[\left( \frac{\pi }{2}-1 \right)\] 
B.                 \[\left( \frac{\pi }{2}+1 \right)\]
C.                 \[(\pi -1)\]          
D.                 0
Answer» B.                 \[\left( \frac{\pi }{2}+1 \right)\]


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