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JEE Advance - Mathematics (1999 - No. 2)

Integrate $$\int\limits_0^\pi {{{{e^{\cos x}}} \over {{e^{\cos x}} + {e^{ - \cos x}}}}\,dx.} $$
$$\pi$$
$$\frac{\pi}{4}$$
$$\frac{\pi}{2}$$
$$2\pi$$
$$0$$

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