Refer to the Information in the Graph Below $x ^ { 2 }$

Multiple Choice

Refer to the information in the graph below. Given functions f(x) = $x ^ { 2 }$ + 4x + 4 and g(x) = $x ^ { 2 }$ - 4x + 4, set up a definite integral or sum of definite integrals that gives the area of the shaded portion.

A) $\int _ { - 2 } ^ { 0 } - 8 x d x + \int _ { 0 } ^ { 2 } 8 x d x$
B) $\int _ { - 2 } ^ { - 4 } \left[ \left( x ^ { 2 } - 4 x + 4 \right) - \left( x ^ { 2 } + 4 x + 4 \right) \right] d x$
C) $\int _ { - 2 } ^ { 0 } 8 x d x$ + $\int _ { 0 } ^ { 2 } - 8 x d x$
D) $\int _ { - 2 } ^ { 2 } \left[ \left( x ^ { 2 } - 4 x + 4 \right) - \left( x ^ { 2 } + 4 x + 4 \right) \right] d x$
E) none of these