Science:Infinite Series Module/Units/Unit 2/2.2 The Integral Test

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What This Lesson Covers

In this lesson we will introduce the integral test and the p-series.

Learning Objectives

After reading this lesson and completing a sufficient number of exercices on paper, you should be able to

  • determine if a given series is a p-series
  • determine if a p-series converges
  • determine whether the integral test can be applied to a given infinite series
  • apply the integral test to determine if it converges or diverges


  1. A Motivating Problem for the Integral Test
  2. A Second Motivating Problem for the Integral Test
  3. Theorem: The Integral Test
  4. An Integral Test Flowchart
  5. Integral Test Example
  6. Integral Test Example with Logarithm
  7. The p-Series
  8. Videos on The Integral Test
  9. Final Thoughts on the Integral Test