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

Multiple Choice

The work done by the force $\mathbf { F } ( x , y ) = - ( x + y ) \mathbf { i } - ( y - x ) \mathbf { j }$ moving along $\mathbf { r } ( t ) = t ^ { 3 } \mathbf { i } + t ^ { 2 } \mathbf { j }$ from (8, 4) to (1, 1) is

A) $\frac { 176 } { 5 }$
B) $\frac { 186 } { 5 }$
C) $\frac { 196 } { 5 }$
D) $\frac { 221 } { 5 }$
E) $\frac { 226 } { 5 }$