Primitives of rational functions I | 11/20 | UPV скачать в хорошем качестве

Primitives of rational functions I | 11/20 | UPV

Título: Primitives of rational functions I Descripción automática: In this video, the instructor introduces the process of finding the primitives (antiderivatives) of rational functions, focusing on particular cases. The key objectives are learning to identify the primitives of rational functions and applying the decomposition into simple fractions technique. Viewers are expected to have prior knowledge of simplifying rational fractions and understanding antiderivatives of powers and logarithms. A rational function is defined as a ratio of two polynomials, and the crucial method discussed is decomposing a complex rational function into a sum of simpler partial fractions. These partial fractions can be of different types: polynomials, logarithms, and power functions, each with a distinct method for integration. The video then demonstrates the application of this method through a practical example. The instructor breaks down a complex integral into simpler fractions and separately integrates each one. The instructor goes through calculating the primitives for a polynomial, logging the absolute value of a variable, and integrating a power function. They remind the viewer to add the constant of integration at the end to simplify the process. In the conclusion, the session reinforces that viewers should now be equipped to calculate primitives for a wide scope of rational functions by breaking them down into simpler components. The instructor thanks the audience for their participation. Autor/a: Guirao Sánchez Antonio José Curso: Este vídeo es el 11/20 del curso MOOC Math Fundamentals: Integrals.    • MOOC Math Fundamentals: Integrals   Inscríbete en: https://www.edx.org/es/learn/math/uni... Universitat Politècnica de València UPV: https://www.upv.es Más vídeos en:    / valenciaupv   Accede a nuestros MOOC: https://upvx.es #