The Work Done by the Force $\mathbf { F } ( x , y ) = - x ^ { 2 } y \mathbf { i } + 2 y \mathbf { j }$

Multiple Choice

The work done by the force $\mathbf { F } ( x , y ) = - x ^ { 2 } y \mathbf { i } + 2 y \mathbf { j }$ moving along the line segment from (4, 0) to (0, 4) is

A) $\frac { 127 } { 3 }$
B) $\frac { 125 } { 3 }$
C) $\frac { 124 } { 3 }$
D) $\frac { 121 } { 3 }$
E) $\frac { 112 } { 3 }$