$(10$pts$)$ Consider ${}_R(x+y)sin(2y-x)dA$ where $R$ is the triangle in the $xy-$plane with vertices $(0,0),(2,1),$ and $(3,0).$

Set up the integral you could compute by making a CHANGE of VARIABLES with letters $u$ and $v.$ Also sketch the original domain and the transformed, domain and make sure to show the orientation of the integration in each region. Note: Just set up the integral after the change of variables $-$ do NOT evaluate the integral, just set it up$.$