題組內容

5. Consider a force field \( \vec{\mathbf{F}} = (2xy + z^3)\vec{i} + x^2\vec{j} + 3xz^2\vec{k} \), and answer the following questions:

(b) \( (5\%) \) Find the potential function \( \Phi (x,y,z) \) for this force field.