Question

How do you find the indefinite integral of `int ( (sin(x))^2 - (cos(x))^2 ) / (sin(x))`?

Answer 1

`-cosx+cotx+c`

Explanation:

`int (sin^2x-cos^2x)/sinxdx=int(sinx-cosx/(sinx*sinx))dx`
`intsinxdx-intcotxcosecxdx=-cosx+cotx+c`