Chapter 14.5, Problem 32ES

Use the result of Exercise 31 to evaluate

(a) ${\displaystyle \underset{G}{\iiint }x{y}^2\sin zdV}$ where G is the set of points satisfying $-1\le x\le 1,0\le y\le 1,0\le z\le \pi /2;$

(b) ${\displaystyle \underset{G}{\iiint }{e}^{2x+y-z}dV,}$ where G is the set of points satisfying $0\le x\le 1,0\le y\le \ln 3,0\le z\le \ln 2.$