Let $\vec{F}=\left(y^{2}+y \sin (x y)\right) \vec{i}+(4 x y-y+x \sin (x y)) \vec{j}$

Short Answer

Let $\vec{F}=\left(y^{2}+y \sin (x y)\right) \vec{i}+(4 x y-y+x \sin (x y)) \vec{j}$ Is $\vec{F}$ path-independent?