The gravitational field due to a mass distribution is E = K/ x3 in the x - direction (K is a constant). Taking the gravitational potential to be zero at infinity, its value at a distance x is :

K/x K/x2 K/2x K/2x2

K/2x2

\(V = -\int E .dx \) \(V = -\int \frac{K}{x^3} .dx \) \(V = -\int \frac{K}{2x^2} .dx \)