Determine whether or not F is a conservative vector field. If it is, find function f such that F=delta f

1.)F(x,y)= (x^2 + y)i + x^2j

2.)F(x,y)= (ye^xy + (4x^3)y)i + (xe^xy + x^4)j

1.)F(x,y)= (x^2 + y)i + x^2j

2.)F(x,y)= (ye^xy + (4x^3)y)i + (xe^xy + x^4)j