Use a Double Integral to Find the Area of the Region

Multiple Choice

Use a double integral to find the area of the region bounded by the graphs of $y = x ^ { 2 } + 2 x + 1$ and $y = ( x + 1 )$ .

A) $\frac { 1 } { 6 }$
B) $\frac { 3 } { 4 }$
C) $- 1$
D) $3$
E) $- \frac { 1 } { 3 }$