A) Integrate f(x, y)=x2+y2 over the triangular region with vertices (0,0), (1,0), and (0,1). Use a definite double integral and show all the steps.

B) Integrate f(u, v) = v- sqrt(u) over the triangular region cut from the first quadrant of the uv-plane by the line u+v=1. Use a definite double integral and show all the steps.