I'm having trouble with this integral
$$\int\arcsin(\sin x)\,\mathrm dx$$
The problem is with the intervals of definition for each function :/ if someone could dumb it down for me.
- $\arcsin\colon [-1, 1] \to [-\pi/2, \pi/2]$.
- $\sin:\mathbb{R}\to [-1, 1]$.
right?
But what about $\arcsin(\sin x)$ ?