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The aim of this book is to provide a comprehensive study on Fredholm Integral Equations and the methods to find exact solutions. We also seek to present some effective methods to find the exact solutions for linear and nonlinear Fredholm Integral Equations. It is an important and comprehensive work in terms of fredholm integral equation. I hope to reach the majority of those interested in studying this type of equation. It combines different methods of solution for all types. In addition, it is possible to deduce from this work many researches, in addition to the fact that this type of complementary equations. The broad spectrum of entry into the working life across many applications.