The area (in sq. units) of the region $A = \left\{ ( x , y ) : x ^ { 2 } \leq y \leq x + 2 \right\}$ is\\ (1) $\frac { 13 } { 6 }$\\ (2) $\frac { 31 } { 6 }$\\ (3) $\frac { 9 } { 2 }$\\ (4) $\frac { 10 } { 3 }$