Chapter 14.2, Problem 27ES

(a) By hand or with the help of a graphing utility, make a sketch of the region R enclosed between the curves $y=x+2\text{and}\text{y}=e^x.$

(b) Estimate the intersections of the curves in part(a).

(c) Viewing R as a type I region, estimate ${\displaystyle \underset{R}{\iint }xdA.}$

(d) Viewing R as a type II region, estimate ${\displaystyle \underset{R}{\iint }xdA.}$