For any integer \( n \), the value of \( \int_{0}^{\pi} e^{\cos ^{2} x} \cdot \cos ^{3}(2 n+1) x...

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For any integer \( n \), the value of \( \int_{0}^{\pi} e^{\cos ^{2} x} \cdot \cos ^{3}(2 n+1) x \cdot d x \) is equal to
(a) 0
(b) 1
(c) \( -1 \)
(d) None of these
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