किसी भी पूर्णांक n के लिए, \(\int_{0}^{\pi} \mathrm{e}^{\cos ^{2} x} \cdot \cos ^{3}(2 n+1) x \mathrm{~d} x\) का मान है:

1
π
2
1
3
0
4
\(\frac{3\pi}{2}\)

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