Please help with the solution to the following two questions. This is Vector Analysis (Vector Calculus). It is difficult to follow the book for conservative fields. I don't quite understand it.

4. Given the vector field F = yety i + (xery + zeyz ) j + (yeyz + z) k Show that the field is conservative and then find the potential for F 5. Evaluate the integral G . dR where G = yetyi + (xexy + zeyz - 32) j + ( yeyz - y + z) k and the curve C is given by x = 1 + 2t, y = 1 - t2, z = 2t - 3, 0