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

Multiple Choice

The work done by the force $\mathbf { F } ( x , y ) = 2 x y \mathbf { i } + \left( x ^ { 2 } + y ^ { 2 } \right) \mathbf { j }$ moving along $y ^ { 2 } = x$ from (0, 0) to (1, 1) is

A) $\frac { 5 } { 2 }$
B) $\frac { 8 } { 3 }$
C) $\frac { 4 } { 3 }$
D) 0
E) $\frac { 4 } { 5 }$