int cos mx cos nxdx

Evalute the following integrals int cos mx cos nx dx

int sin mx cos nxdx,m!=n

Integrate: int sin mx cos nxdx,m!=n

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

int cos x cos 3x dx

int cos 4x cos x dx = ?

Prove that int_(-pi)^( pi)cos mx cos nxdx=

If m and n are positive integers and m!=n show (i) int_(0)^(2 pi)sin mx sin nxdx=0 (ii) int_(0)^( pi)cos mx cos nxdx=0 (iii) int_(0)^( pi)cos^(m)x