This document discusses using the homotopy perturbation method to solve integral equations. It begins by introducing the homotopy perturbation method and how it can be used to find approximate solutions to problems by considering the solution as a sum of an infinite series. It then shows how to apply the method to solve Fredholm and Volterra integral equations of the second kind by constructing a homotopy and obtaining iteration formulas. The document concludes that the homotopy perturbation method provides sufficient conditions for the convergence of solutions to integral equations and integro-differential equations.