W6-S2 Integration of Rational Functions and Trigonometric Integrals

周次: 6 日期: April 1, 2022 节次: 2 In this lecture, we continue presenting the integration of rational functions. After finishing this part, we are going to discuss some trigonometric integration techniques. Outline § 8.3 Integration of Rational Functions Method of Partial Fractions ( for $f(x)/g(x)$ Proper) Factorize the denominator $g(x)$, obtain all its linear and quadratic factors, as well as their powers. In...

March 31, 2022

W6-S1 Integration by Parts and Integration of Rational Functions

周次: 6 日期: March 30, 2022 节次: 1 In this lecture, we’ll learn a new technique for integration, called Integration by Parts. The second part of the lecture will be devoted to the partial fractions decomposition of rational functions. By using such technique, we are able to integrate all the rational functions! § 8.2 Integration by Parts Integration by parts...

March 29, 2022