Refer to the Information in the Graph Below $\int _ { - 2 } ^ { - 3 x + 4 } \left( 4 - x ^ { 2 } \right) d x$

Multiple Choice

Refer to the information in the graph below. Set up a definite integral or sum of definite integrals that gives the area of the shaded portion.

A) $\int _ { - 2 } ^ { - 3 x + 4 } \left( 4 - x ^ { 2 } \right) d x$
B) $\int _ { - 2 } ^ { 0 } \left( 4 - x ^ { 2 } \right) d x$ + $\int _ { 0 } ^ { 1 } [ 4 - ( - 3 x + 4 ) ] d x$
C) $\int _ { - 2 } ^ { 1 } \left[ 4 + ( - 3 x + 4 ) - x ^ { 2 } \right] d x$
D) $\int _ { - 2 } ^ { 0 } \left( 4 - x ^ { 2 } \right) d x$ + $\int _ { 0 } ^ { 1 } \left( - 3 x + 4 - x ^ { 2 } \right) d x$
E) none of these