|
Calculus 2 Lesson 11.3 The Integral Test |
|||
| The following topics
are the most important. Typical exercises from Calculus, 7th edition-Early
Transcendentals, by James Stewart, are
assigned at the end of each objective. In smaller print following the objective is a guide for the reading assignment in the form of page numbers in the text and notes regarding the reading about the objective. |
|||
| 1. | Apply positive series tests. | ||
| 1a. | integral test P720#1,8,16,30 | ||
| P716 | The definition is given in the box on the top of this page. Know this thoroughly. Be sure that you test all three hypotheses: continuous, positive and decreasing when you use this test. If the function is decreasing after a value c, use the integral test from c (or some integer greater than c) on. Look at Examples 1, 2 and 4. | ||
| 1b. | p-series test P720#3,11,12 | ||
| P717 | The definition is given in box 1 on this page. Know this thoroughly. Look at Example 3. We will be using this a lot. | ||
| P716 | Look at the video in the ebook on Webassign. Example 2 | ||
| P717 | Look at the video in the ebook on Webassign. Example 4 | ||
| 2. | Estimate the sum of a positive decreasing convergent series for a given number of terms, then improve the estimate. P721#36 | ||
| P718 | The definition is given in box 2 on this page. Look at Examples 5 and 6. | ||
| P718 | Look at the video in the ebook on Webassign. Example 5 | ||
| Maple Assignment: none | |||