91Ó°ÊÓ

Evaluate \(\iint_{D} x y d A\) if \(D\) is the triangular region with vertices (0,0),(1,1),(2,0) .

(a) sketch the domain of integration \(D\) in the \(x y\) -plane and (b) write an equivalent expression with the order of integration reversed. $$ \int_{0}^{1}\left(\int_{y^{2}}^{y} f(x, y) d x\right) d y $$