Integration By Partial Fractions | Calculus 2 Lesson 15 - JK Math

How to Integrate By Partial Fractions (Calculus 2 Lesson 15)
In this video we learn about how to solve integrals involving complex rational functions using a technique known as partial fractions. We learn how to identify the types of factors in the denominator that can be used to break up rational functions into simpler rational functions called “partial fractions.” These include linear factors, repeated linear factors, quadratic factors, and repeated quadratic factors. We look at examples of integrals that include these different types of factors and go through the step-by-step process of breaking them up into partial fractions that we then will be able to integrate using other previously learned integration rules techniques.
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This series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!
Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 Why Partial Fractions?
5:17 Types of Factors
7:19 Example - Distinct Linear Factors
19:37 Example - Repeated Linear Factors
33:43 Example - Distinct Quadratic Factors
45:12 Example - Repeated Quadratic Factors
50:22 Outro
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