Chapter 14.2, Problem 16ES

Evaluate the double integral in two ways using iterated integrals; (a) viewing R as a type I region, and (b) viewing R as a type II region.

${\displaystyle \underset{R}{\iint }x{y}^{2}dA};R$ is the region enclosed by $y=1,y=2,=x=0,\text{and}y=x.$