Question

How do you find the antiderivative of `cos(x)sin(sin(x))dx`?

Answer 1

Substitute `u = sinx`

Explanation:

`int sin(sin(x))cos(x) dx`

Let `u = sinx`, then `du = cosx dx`, so the integral becomes

`int sinu du = -cosu +C`

Reverse the substitution to finish

`= -cos(sin(x)) +C`