2.1 Integration by Parts

In this lesson, you will learn about integration by parts.

Lesson Objectives


  • Derive the Integration by Parts formula from the Product Rule for Derivatives.
  • Evaluate indefinite integrals using Integration by Parts.
  • Evaluate definite integrals using Integration by Parts.

 

Lesson Content


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

  1. YouTube video: Integration by Parts (derivation and introduction)
  2. YouTube videos: Integration by Parts (examples)
    Part 6:

    Part 7:

  3. YouTube video: Integration by Parts (alternate notation and examples)
  4. YouTube video: Integration by Parts – Definite Integral

 

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. Integration by Parts.
  2. Integration by Parts.

 

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. The Method of Integration by Parts. (23 problems with detailed solutions)
  2. Integration by Parts.
  3. Integration by Parts. (10 problems with hints and solutions provided)

 

Additional Resources


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

  1. Integration by Parts.
  2. Integration by Parts Help.
  3. Integration by Parts.
  4. Integration by Parts.