If , then is equal…

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

I_{m,n}=\int\cos^m x\,\sin(nx)\,dx

, then

7I_{4,3}-4I_{3,2}

is equal to: (a) constant (b)

-\cos^2x+C

(c)

-\cos^4x\cos3x+C

(d)

\cos^7x-\cos4x+C