If $F(x,y,z)=(y^{2}cosx+z^3)i+(2ysinx-4)j+(3x{z}^2+2)k$ and the path $C$ is the line segment from $A(0,1,-1)$ to $B(\frac{}{2},-1,2),$ evaluate

${\displaystyle \underset{C}{\overset{\phantom{}}{}}}F*dr$