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 $\mathbf { r } ( t ) = 4 \cos t \mathbf { i } + 4 \sin t \mathbf { j }$ with $0 \leq t \leq \frac { \pi } { 2 }$ is

A) $4 ( \pi + 1 )$
B) $8 ( \pi + 1 )$
C) $16 ( \pi + 1 )$
D) $22 ( \pi + 1 )$
E) $24 ( \pi + 1 )$