Chapter 7 Techniques of Integration
- Section 5.5 Substitution Method
- Section 7.1 Integration by Parts
- Section7.2 Trigonometric Integrals
- Section 7.3 Trigonometric Substitution
- Section 7.4 Integration by Partial Fractions
- Section 7.5 Strategy for Integration
- Section 7.6 Integration using Tables
- Section 7.7 Approximate Integration
- Section 7.8 Improper Integrals
Chapter 6 Applications of Integration
- Section 6.1 Areas Between Curves
- Section 6.2 Volumes – Disk and Washer Methods
- Section 6.3 Volumes – Shell Method
- Section 6.4 Work
- Section 6.5 Average Value of a Function
Chapter 8 Further Applications of Integration
- Section 8.1 Arc Length
- Section 8.2 Area of Surface of Revolution
- Section 8.3 Applications to Physics & Engineering
Chapter 11 Sequences and Series
- Section 11.1 Sequences
- Section 11.2 Series
- Section 11.3 The Integral Test
- Section 11.4 Comparison Tests
- Section 11.5 Alternating Series
- Section 11.6 Absolute Convergence, Root, and Ratio Tests
- Section 11.7 Strategy for Testing Series
- Section 11.8 Power Series
- Section 11.9 Representation of Functions as Power Series
- Section 11.10 Taylor and Maclaurin Series
Chapter 9 Differential Equations
Chapter 10 Parametric Equations and Polar Coordinates
- Section 10.1 Curves Defined by Parametric Equations
- Section 10.2 Calculus with Parametric Equations
- Section 10.3 Polar Coordinates
- Section 10.4 Areas and Length in Polar Coordinates
- Section 10.5 Conic Sections
- Section 10.6 Conic Sections in Polar Coordinates