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Q. int0^pi(e^(cos^2x)( cos^3(2n+1) x dx,...

Q. `int_0^pi(e^(cos^2x)( cos^3(2n+1) x dx, n in I`

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

For any value of n in Z , int_(0)^(pi) e^(cos^(2)x) cos^(3) [( 2n +1) x ] dx is