The force between two charges, q1 and q2, is proportional to the product of their charges and inversely proportional to the square of the distance, r. The equation can be written as: F = k * (q1 * q2) / r^2 Where q1 and q2 are the charges in coulombs (C), r is the distance between charges in meters (m), F is the force in newtons (N), and k is a constant. Two electrons are separated when the electric charges move towards each other. The work done, W, to separate these two electrons is given by: W = ∫(k * q1 * q2) / r^2 dx Suppose an electron has a charge of q1 = q2 = 1.6x10^-19 C and k is 9x10^9. Estimate how much work is done, W, in separating two electrons from 1x10^-3 m to 4x10^-3 m by using Simpson's rule with n = 7.