| Section | Page number (10th edition) |
Topic |
|---|---|---|
| 4.1 | 314 | Definition: antiderivative of a function |
| 315 | Table 4.1 -- integral formulas | |
| 320 | Exercises 27-30, Exercises 31-32 |
|
| 4.2 | 324 | Example 3 -- integrating sin2(x) and cos2(x) |
| 326 | Substitution: the chain rule backwards Examples 6-9 |
|
| 328 | any of the exercises 1-32 | |
| 329 | Exercises 45-46 | |
| 4.4 | 341 | Example 1 -- using sigma notation |
| 345 | Definition: area under a curve as a definite integral | |
| 346 | Definition: average (mean) value | |
| 347 | Table 4.5 -- rules for definite integrals | |
| 348 | Example 5 -- using the rules for definite integrals | |
| 349 | Exercises 11-16 | |
| 350 | any of the exercises 27-32 | |
| 4.5 | 354 | Fundamental Theorem of Calculus, Part 1 Examples 3-6 |
| 358 | Fundamental Theorem of Calculus, Part 2 | |
| 361 | Exercises 15-18, Exercises 19-24, Exercises 25-28 |
|
| 363 | Exercises 45-46 | |
| 4.6 | 365 | Substitution formula for definite integrals Examples 1-3 |
| 368 | Definition: area between curves Examples 4-5 |
|
| 371 | any of the exercises 1-16 | |
| 5.1 | 394 | Definition: volume of a solid |
| 396 | Solids of revolution: circular (disk) cross sections Examples 4-7 |
|
| 399 | Solids of revolution: washer cross sections Examples 8-9 |
|
| 401 | Exercises 1-6, any of the exercises 13-22, any of the exercises 31-44 |
|
| 5.2 | 409 | Shell formula for revolution about a vertical line Examples 2-3 |
| 411 | any of the exercises 1-6, any of the exercises 7-10, any of the exercises 15-18, Exercises 35, 36 |