QUESTION $1$

Find the potential function for the vector field $F(x,y,z)=($:$3x^2{y}^{2}z+2y,2x^{3}yz+2x,x^3{y}^2+2z$:$).$

$x^2+xyz+y{z}^2$

$x^3{y}^{2}z+2xy+z^2$

$x^3{y}^{2}z+xy+z^2$

$x^{2}y+xyz-y{z}^2$

$x+yz+x^{2}y{z}^3$