The Work Done by a Variable Force $F ( x ) = ( 2 x + 1 ) ^ { 2 }$

Multiple Choice

The work done by a variable force $F ( x ) = ( 2 x + 1 ) ^ { 2 }$ Newtons that moves an object along a straight line in the direction of F from x = 2 meters to x = 4 meters, in Newton-meters, is

A) $\frac { 50 } { 3 }$
B) $\frac { 68 } { 3 }$
C) $\frac { 255 } { 3 }$
D) $\frac { 289 } { 3 }$
E) $\frac { 302 } { 3 }$