Chapter 8: Further Applications of Integration
Course
MATH162 (Calculus II)
Overview
This chapter covers Further Applications of Integration from Stewart Calculus 9th Edition.
Each section contains:
- Skill breakdowns with learning objectives
- Practice problems at multiple difficulty levels
- Links to related skills and prerequisites
Sections
Section 8.1: Arc Length
| Skill | Description | Difficulty |
|---|---|---|
| Arc Length Formula | Further Applications of Integration | Intermediate |
| Arc Length as a Function | Further Applications of Integration | Advanced |
| Arc Length for Parametric Curves | Further Applications of Integration | Intermediate |
Section 8.2: Area of a Surface of Revolution
| Skill | Description | Difficulty |
|---|---|---|
| Surface Area: Rotation about x-axis | Further Applications of Integration | Intermediate |
| Surface Area: Rotation about y-axis | Further Applications of Integration | Intermediate |
Section 8.3: Applications to Physics and Engineering
| Skill | Description | Difficulty |
|---|---|---|
| Center of Mass | Further Applications of Integration | Intermediate |
| Hydrostatic Pressure and Force | Further Applications of Integration | Intermediate |
| Pappus’s Theorems | Further Applications of Integration | Advanced |
Section 8.4: Applications to Economics and Biology
| Skill | Description | Difficulty |
|---|---|---|
| Blood Flow and Biology | Further Applications of Integration | Intermediate |
| Consumer and Producer Surplus | Further Applications of Integration | Intermediate |
Section 8.5: Probability
| Skill | Description | Difficulty |
|---|---|---|
| Mean and Expected Value | Further Applications of Integration | Intermediate |
| Normal Distribution | Further Applications of Integration | Intermediate |
| Probability Density Functions | Further Applications of Integration | Intermediate |
Prerequisites
Before starting Chapter 8, review relevant prerequisite skills from earlier chapters.
| Previous | Up | Next |
|---|---|---|
| Chapter 7 | Home | Chapter 9 |