Serway & Jewett — Energy of a System: Problem 43.

A particle moves along the x axis from \(x = 12.8\text{ m}\) to \(x = 23.7\text{ m}\) under the influence of a force \[F = \frac{375}{x^3 + 3.75x}\] where \(F\) is in newtons and \(x\) is in meters. Using numerical integration, determine the work done by this force on the particle during this displacement. Your result should be accurate to within 2%.