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JEE Advance - Mathematics (1997 - No. 6)

Determine the value of $$\int_\pi ^\pi {{{2x\left( {1 + \sin x} \right)} \over {1 + {{\cos }^2}x}}} \,dx.$$
0
$$\pi$$
$$\pi^2$$
$$2\pi$$
$$-\pi^2$$

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