int cos^(2)nx

If I_(m"," n)=int cos^(m)x*cos nx dx , show that (m+n)I_(m","n)=cos^(m)x*sin nx+m I_((m-1","n-1))

If I_(m"," n)=int cos^(m)x*cos nx dx , show that (m+n)I_(m","n)=cos^(m)x*sin nx+m I_((m-1","n-1))

If I_(m"," n)=int cos^(m)x*cos nx dx , show that (m+n)I_(m","n)=cos^(m)x*sin nx+m I_((m-1","n-1))

If I_(n)=int (cos nx)/(cosx)dx, then I_(n)=

Evaluate: int_0^((3pi)/2)(ln|sinx|)cos(2nx)dx,ninN

Evaluate: int_0^((3pi)/2)(ln|sinx|)cos(2nx)dx,ninN

Evaluate: int_0^((3pi)/2)(log|sinx|)cos(2nx)dx,ninN

If I_(m,n) = int cos^m x cdot cos nx cdot dx show that (m + n) I_(m,n) = cos^m x cdot sin nx + m I_(m - 1, n-1)

If I_n= int_0^pi (1-cos2nx)/(1-cos2x)dx or int_0^pi (sin^2nx)/(sin^2x) dx, show that I_1, I_2, I_3…………. are inA.P.