# Calculus II Resources

#### Chapter 5 Integrals

#### Chapter 6 Applications of Integration

- Homework – Chapter 6
- Examples: Areas between curves
- Examples: Volumes of solids
- Examples: Work problems
- Examples: More sample Work problems
- Video: Work Problem (pumping water)

#### Chapter 7 Techniques of Integration

- Homework – Chapter 7
- Exam Practice Problems
- Interactive Mathematics – Integration by partial fractions (reader)
- Integration by Substitution (YouTube)
- Integration by U-Substitution, More Comlicated Examples (YouTube)
- Trigonometric Integrals Part 1 of 6 (YouTube)
- Examples: Substitution method and Mean Value Theorem for Integrals
- Examples: Integration by parts, trigonometric integrals
- Examples: Integration by parts, trigonometric integrals, part II
- Examples: Rationalizing substitutions (radicals)
- Examples: Integration by partial fractions
- Examples: Integration by partial fractions II
- Examples: Improper integrals
- Examples: Improper integrals – infinite integrand
- Table of Integrals

#### Chapter 8 Further Applications of Integration

- Homework – Chapter 8
- Examples: Arc Length, surface area of revolution
- Examples: Arc Length
- Examples: Surface area of revolution
- Examples: Hydrostatic Pressure and Force
- Examples: Moments and Center of Mass
- Examples: Centroids
- Examples: Homework

#### Chapter 9 Differential Equations

- Homework – Chapter 9
- Examples: Initial value problems
- Euler’s Method Example (Excel)
- Desmos Interactive Slope Field Generator

#### Chapter 10 Parametric Equations and Polar Coordinates

- Homework – Chapter 10
- Examples: Parametric representations of plane curves
- Conic Sections Chart
- Converting Polar Coordinates (YouTube)
- Converting Polar Equations to Rectangular Equations (YouTube)
- Converting Rectangular Equations to Polar Equations (YouTube)
- Graphing Special Polar Equations (rose petals) (YouTube)

#### Chapter 11 Infinite Sequences and Series

- Homework – Chapter 11
- Resources: List of Power Series
- Examples: Infinite sequences
- Examples: Infinite series
- Resource: Series: List of Convergence Tests
- Examples: Series, various tests for convergence
- Examples: Series, integral test
- Examples: Alternating series, absolute convergence, conditional convergence
- Examples: Power series, convergence sets
- Examples: Taylor and Maclaurin series
- Examples: Taylor and Maclaurin approximations
- Examples: Operations on power series