The student is acquainted with the initial concepts of the integral equation, the deduction of the integral equations, the Volterra and Friedholm equation, the classification of the integral equation according to the nucleus, the development of the connection between differential equations and the integral equations, the use of Leibniz's rule to find the derivative of the integral equations, and the realization of the state nucleus method in solving the Voltaire equation and transforming The issue of initial values to the Volterra and Friedholm equation and vice versa