For any integer \[n,\] the integral \[\int_{0}^{\pi }{{{e}^{{{\sin }^{2}}x}}{{\cos }^{3}}(2n+1)x\,dx=}\] [MNR 1982]

For any integer \[n,\] the integral \[\

1.	For any integer \[n,\] the integral \[\int_{0}^{\pi }{{{e}^{{{\sin }^{2}}x}}{{\cos }^{3}}(2n+1)x\,dx=}\] [MNR 1982]
A.	\[-1\]
B.	0
C.	1
D.	\[\pi \]
Answer» C. 1

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For any integer \[n,\] the integral \[\int_{0}^{\pi }{{{e}^{{{\sin }^{2}}x}}{{\cos }^{3}}(2n+1)x\,dx=}\] [MNR 1982]

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