Final answer:
The potential difference between two points can be calculated using the equation V = -∫(Ex dx), where Ex is the electric field in the x-direction. In this case, the potential difference between the points (0, Y) and (X, Y) is V = -3X^2Y.
Step-by-step explanation:
The potential difference between the points (0, Y) and (X, Y) can be calculated using the equation V = -∫(Ex dx) where Ex is the electric field in the x-direction.
In this case, Ex = 6xy, so the potential difference between the two points is V = -∫(6xy dx) = -3x^2y.
Substituting the values of (0, Y) and (X, Y) into the equation, we get V = -3X^2Y.