Find the Area of the Region Bounded by the Curves $y = x ^ { 2 } + 1$

Multiple Choice

Find the area of the region bounded by the curves $y = x ^ { 2 } + 1$ and $y = 2$

A) $\frac { 4 } { 3 }$
B) $\frac { 2 } { 3 }$
C) $\frac { 11 } { 9 }$
D) $\frac { 5 } { 3 }$
E) $\frac { 8 } { 9 }$
F) $1$
G) $\frac { 14 } { 9 }$
H) $2$