Given the Graph of the Function Y = $x ^ { 2 }$

Multiple Choice

Given the graph of the function y = $x ^ { 2 }$ + 8, set up the definite integral that gives the area of the shaded region.

A) $\int _ { 0 } ^ { 8 } \left( x ^ { 2 } + 8 \right)$ dx
B) $\int _ { - 3 } ^ { 2 } \left( x ^ { 2 } + 8 \right)$ dx
C) $\int _ { 0 } ^ { 2 } 2 \left( x ^ { 2 } + 8 \right)$ dx
D) $\int _ { 2 } ^ { - 3 } \left( x ^ { 2 } + 8 \right)$ dx