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 (3, 0) to (0, 3) is

A) $\frac { 71 } { 4 }$
B) $\frac { 69 } { 4 }$
C) $\frac { 67 } { 4 }$
D) $\frac { 65 } { 4 }$
E) $\frac { 63 } { 4 }$