1.

\[\int_{-\,\pi }^{\,\pi }{\frac{2x(1+\sin x)}{1+{{\cos }^{2}}x}dx}\] is [AIEEE 2002]

A. \[{{\pi }^{2}}/4\]
B. \[{{\pi }^{2}}\]
C. 0
D. \[\pi /2\]
Answer» C. 0


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