Question

What is the integral of `(cos^2x) / sinx`?

Answer 1

`int cos^2/sin x d x=l n(tan(x/2))+cos x+C`

Explanation:

`int cos^2/sin x d x= ?`

`cos^2 x=1-sin^2x`

`int(1-sin^2 x)/(sin x) d x=int (1/sin x-sin x)d x`

`int cos^2/sin x d x=int (d x)/sin x- int sin x d x`

`int cos^2/sin x d x=l n(tan(x/2))+cos x+C`