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

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

Topics

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