If `n(ne0)` is a positive integer then the value of `int_(0)^(pi)cosnxdx` is-

If n(ne0) is an integer, then the value of int_(0)^(pi)sin^(2)nxdx is-

If U_(n)=int_(0)^(pi)(1-cosnx)/(1-cosx)dx where n is positive integer of zero, then The value of int_(0)^(pi//2)(sin^(2)n theta)/(sin^(2) theta) d theta is

If m ne n , m n in N then the value of int_(0)^(2pi) cos mx cos nx dx is

If n is an integer then the value of int_(0)^(pi) e^(cos^2x)cos^(3) ((2n+1)x)dx=

If m and n are integers , then what is the value of int_(0)^(pi)" sin mxsinnx dx " , if m ne n ?

If U_(n)=int_(0)^(pi)(1-cosnx)/(1-cosx)dx where n is positive integer of zero, then The value of U_(n) is

If m and n are positive integers and m ne n , show : int_(0)^(pi)cosmxcosnxdx=0

If n is a positive integer then int_(0)^(1)(ln x)^(n)dx is :

If n is a positive integer then int_(0)^(1)(ln x)^(n)dx is :