For any integer n, the integral int_0^π e^cos^2 x cos^3(2n+1)x dx has the value

For any integer n, the integral int_0^π e^cos^2 x… — JEE Main 1985 Mathematics PYQ

1985

For any integer

n

, the integral

\int_0^\pi e^{\cos^2 x} \cos^3(2n+1)x \, dx

has the value

Show answer

Correct option: C

[1985]

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