Lecture
This lecture covers the concept of rational functions, which are defined as the quotient of two polynomials. It explains how to integrate rational functions using techniques such as decomposition into simple elements and division. The instructor demonstrates the process step by step with examples, showing how to find the constants for the decomposition and solve the integrals. The lecture also explores the structure of the decomposition and the conditions for existence. Additionally, it delves into the method of identifying coefficients in polynomials and solving equations to determine the constants. The content concludes with a detailed explanation of integrating the resulting simple elements.