Chapter 6.9, Problem 11P

Evaluate each of the following integrals in the easiest way you can.

${\displaystyle {\int }_C(x\sin x-y)}dx+\left(x-y^2\right)dy,$ where $C$ is the triangle in the $(x,y)$ plane with vertices $(0,0),(1,1),$ and $(2,0)$.