If I_ m,n = ^m x nx

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

I_{m,n} = \int \cos^m x \cdot \cos nx \, dx

, show that

(m+n) I_{m,n} = \cos^m x \cdot \sin nx + m I_{(m-1,n-1)}