CUET and UG exam BITSAT Mock Test Series 2025 Mathematics Integral Calculus Definite Integrals

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

1
π
2
1
3
0
4
\(\frac{3\pi}{2}\)
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