Given vec$(F)=($:$5yz,5xz+1,5xy+2z$:$),$ find a function $fso$ that vec$(F)=$gradf

$f(x,y,z)=,+K$

Use your answer $to$ evaluate ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)$ along the curve $C$:$x=t^2,y=t+5,z=1t-5,0t1$