## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

The work done on the particle as it move from x = 0 to x = d is $\frac{qd^3}{3}$
$W = \int_{0}^{d}~F_x~dx$ $W = \int_{0}^{d}~qx^2~dx$ $W = \frac{qx^3}{3}~\Big\vert_{0}^{d}$ $W = \frac{qd^3}{3}$ Therefore, the work done on the particle as it move from x = 0 to x = d is $\frac{qd^3}{3}$.