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

Multiple Choice

The work done by the force $\mathbf { F } ( x , y ) = ( y - x ) \mathbf { i } + x ^ { 2 } y \mathbf { j }$ moving along $y = x ^ { 2 }$ from (1, 1) to (2, 4) is

A) $\frac { 131 } { 6 }$
B) $\frac { 121 } { 6 }$
C) $\frac { 111 } { 6 }$
D) $\frac { 101 } { 6 }$
E) $\frac { 11 } { 6 }$