Chapter 1: Functions Defined by Derivatives and Integrals
Chapter 2: Advanced Integration Techniques
- 2.1 Integration by Substitution
- 2.2 Integration of Trigonometric Products
- 2.3 Trigonometric Substitution
- 2.4 Integrating with Partial Fractions
- 2.5 Integration by Parts
- 2.6 Strategies for Integration
Chapter 3: Applications of Integrals
- 3.1 Area Between Curves
- 3.2 Volumes by Cross-Sectioning
- 3.3 The Washer Method
- 3.4 The Cylindrical Shell Method
- 3.5 Work
Chapter 4: Parametric Equations and Polar Coordinates
- 4.1 Planar Parametrizations
- 4.2 Applications of Parametrizations
- 4.3 Polar Coordinates
- 4.4 Areas and Lengths using Polar Coordinates
Chapter 5: Sequences and Series
- 5.1 Sequences
- 5.2 Computing Limits of Sequences
- 5.3 Series
- 5.4 Geometric and Alternating Series
- 5.5 The Integral Test and p-Series
- 5.6 Ratio and Root Tests
- 5.7 Comparison Tests
- 5.8 Strategies to Determine Series Convergence