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 (1, 0) to (0, 1) is

A) $\frac { 25 } { 12 }$
B) $\frac { 23 } { 12 }$
C) $\frac { 19 } { 12 }$
D) $\frac { 17 } { 12 }$
E) $\frac { 13 } { 12 }$