Set Up the Definite Integral That Gives the Area of the Region

Multiple Choice

Set up the definite integral that gives the area of the region bounded by the graph of $y _ { 1 } = x ^ { 2 } + 2 x + 1$ and $y _ { 2 } = 2 x + 5$

A) $\int _ { - 2 } ^ { 2 } \left( - x ^ { 2 } + 4 \right) d x$
B) $\int _ { - 2 } ^ { 2 } \left( x ^ { 2 } + 2 x + 1 \right) d x$
C) $\int _ { - 2 } ^ { 2 } \left( - x ^ { 2 } + 4 \right) d y$
D) $\int _ { - 2 } ^ { 2 } \left( x ^ { 2 } + 4 x + 6 \right) d y$
E) $\int _ { - 2 } ^ { 2 } \left( x ^ { 2 } + 4 x + 6 \right) d x$