In this research, we have studied the concepts of Integral Equations which solution his it is importance in many scientific applications. They have been classified according them to the nucleus type that this solution depends upon it. Also the relationship between these equations and the differential equations has been discussed, including the applying of some analytical methods to find the correct solution. The analytical methods have proved the existence and uniqueness of the solution. The application of numerical methods for finding the approximate solution with using the MATLAB software and error analysis were conducted, where the approximate results showed the accuracy and closeness to the analytical results.