JEE Advance - Mathematics (1985 - No. 35)

For any integer $$n$$ the integral ...........
$$\int\limits_0^\pi {{e^{{{\cos }^2}x}}{{\cos }^3}\left( {2n + 1} \right)xdx} $$ has the value
$$\pi $$
$$1$$
$$0$$
none of these

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