2.4 Partial Fractions Decomposition

In this lesson, you will learn about partial fraction decomposition.

Lesson Objectives

  • Recognize that complicated rational functions can be written as sums and/or differences of simpler rational functions.
  • Perform partial fractions decomposition on complicated rational functions.
  • Use the partial fractions decomposition to evaluate integrals of complicated rational functions.

Lesson Content

View all of the following instructional videos. These will help you master the objectives for this module.

  1. YouTube video: Determining Coefficients for Partial Fractions (be careful of the calculation error that is notated in the video)
  2. YouTube videos: Partial Fraction Decomposition
    Example 1:

    Example 2:

    Another examples:
    Example 4:

    Example 5:

    Example 6:

  3. YouTube video: A complete Partial Fractions Problems
  4. YouTube videos: Partial Fraction Expansions
    Part 1:

    Part 2:

    Part 3:

 

Lesson Readings

The following required readings cover the content for this module. As you go through each reading, pay close attention to the content that will help you learn the objectives for this module.

  1. Partial Fractions
  2. Partial Fraction Decomposition
  3. Method of Partial Fractions

Lesson Practice Exercises/Activities

Make your way through each of the practice exercises. This is where you will take what you have learned from the lesson content and lesson readings and apply it by solving practice problems.

  1. Integration by Partial Fractions
  2. The Method of Integration by Partial Fractions(with 20 problems and detailed solutions)

Additional Resources

Below are additional resources that help reinforce the content for this module.

  1. Partial Fractions
  2. Partial Fractions Decompositions
  3. Techniques for Writing Partial Fractions Decomposition