Find the Area of the Region Between $y = ( x - 1 ) ^ { 2 }$

Multiple Choice

Find the area of the region between $y = ( x - 1 ) ^ { 2 }$ and $y = - ( x - 1 ) ^ { 2 }$ for x in $[ 0,1 ]$ .

A) $- \frac { 5 } { 3 }$
B) $\frac { 14 } { 3 }$
C) $\frac { 2 } { 3 }$
D) $\frac { 11 } { 3 }$
E) $- \frac { 2 } { 3 }$