Fubini's theorem double integral

I tried to solve the exercise below, but I'm not sure of my answer:What does the change in order of integration give in the following integrals?$$ \int_{0}^{\pi}\left( \int_{0}^{\sin(x)}f(x,y)dy\right) dx$$My answer is this:

By changing the order of integration I find that $0\leq y\leq 1$ and $\arcsin(y)\leq x\leq \pi$.

Can someone help me please.

Thank you in advance for your help.