Question $9$

$(9\mathrm{.}1)$ Show that the following vector field

$F(x,y)=($:$4x^3{y}^2-2x{y}^3,2x^{4}y-3x^2{y}^2+4y^3$:$)$

$is$ conservative.

$(9\mathrm{.}2)$ Find the work done $byFin$ moving a particle along the path $C$ given $by$

$r(t)=($:$t+sint,2t+cost$:$)$;$0t1$