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Mathematics
Mathematics
Problem
For any integer
n
n
n
the integral
∫
0
π
e
cos
2
x
cos
3
(
2
n
+
1
)
x
d
x
\int_{0}^{\pi} e^{\cos^2 x} \cos^3 (2n+1)x\,dx
∫
0
π
e
c
o
s
2
x
cos
3
(
2
n
+
1
)
x
d
x
has the value [JEE 1985] (A)
π
\pi
π
(B) 1 (C) 0 (D) None of these
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