Find the Area of the Region Enclosed By $y = e ^ { x }$

Multiple Choice

Find the area of the region enclosed by $y = e ^ { x }$ , $y = 2$ , and the y-axis.

A) $2 \ln 2 + 2$
B) $2 \ln 2 - 2$
C) $2 \ln 2 - 1$
D) $2 \ln 2 + 1$
E) $\ln 2 - 1$