The Work Done by the Force $\mathbf { F } ( x , y ) = ( 2 x + 3 y ) \mathbf { i } + x y \mathbf { j }$

Multiple Choice

The work done by the force $\mathbf { F } ( x , y ) = ( 2 x + 3 y ) \mathbf { i } + x y \mathbf { j }$ moving along $\mathbf { r } ( t ) = 4 \sin t \mathbf { i } - \cos t \mathbf { j }$ with $0 \leq t \leq \frac { \pi } { 2 }$ is

A) $\frac { 44 + 9 \pi } { 3 }$
B) $\frac { 44 - 9 \pi } { 3 }$
C) $\frac { 44 - 6 \pi } { 3 }$
D) $\frac { 44 + 6 \pi } { 3 }$
E) $\frac { 44 - 3 \pi } { 3 }$