What is the area of the region enclosed by the curve $y = e ^ { 2 x }$, the $x$-axis, and the two lines $x = \ln \frac { 1 } { 2 }$ and $x = \ln 2$? [3 points]\\
(1) $\frac { 5 } { 3 }$\\
(2) $\frac { 15 } { 8 }$\\
(3) $\frac { 15 } { 7 }$\\
(4) $\frac { 5 } { 2 }$\\
(5) 3