This book contains the solutions with details for the qualifying tests of the MIT Integration Bee from 2010 to 2023. In the first chapter of this book, there is a review of the basic integration formulas, and techniques such as integration by substitution, integration by parts, trigonometric and hyperbolic integrals, integrals of irrational functions, integration of binomial differentials, beta and gamma functions, and some additions such as the King property of integration, the Gaussian integral, Leibniz integral rule and Lebesgue's dominated convergence theorem. In the remaining 13 chapters, detailed solutions to the integrals of each year were presented in their own chapter. The book is devoted to students preparing for the Integration Bee, teachers looking for integration problems with different levels of challenge to use in their classroom, or math enthusiasts looking to expand their knowledge and skills in integration calculus.
محمد سعود الكوسى | Mohammad S. Alkousa | 3765