Determine Whether or Not F Is a Conservative Vector Field $\mathbf { F } = \nabla f .$

Short Answer

Determine whether or not F is a conservative vector field. If it is, find a function f such that $\mathbf { F } = \nabla f .$ $\mathbf { F } = ( 4 + 2 x y + \ln x ) \mathbf { i } + x ^ { 2 } \mathbf { j }$