QUESTION $4$

The function $(x,y)=xcos(y^2)$ is a potential function for $F=($:$cos(y^2),-2$xysin$(y^2)$:$)$

Compute

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}C*ds$

where $C$ is the path made up of straight line segments from $P=(2,0)$ to $Q=(5,-3)$ to $R=(3,\sqrt[\phantom{2}]{?}).$

$-5$

$-9$

$2$

$6e^3-1$

$7e^3-4$