### Chapter 5: Integration

5.6: Substitution and Area Between Curves
15-47 odd , 49 , 51 , 55 , 57 , 61 , 65 , 69 , 73 , 81 , 85 , 87 , 89 , 91 , 93 , 99 , 101 , 109 , 114 , 117
(Video) Area Between Curves: Development
(Video) Area Between Curves: Example
(Video) U-Substitution: Changing Limits
(Video) Linear U-Substitution

### Chapter 6: Applications of Definite Integrals

6.1: Volumes Using Cross-Sections 6.2: Volumes Using Cylindrical Shells 6.3: Arc Length 6.4: Area of Surfaces of Revolution 6.5: Work and Fluid Force

### Chapter 8: Integration Techniques

8.2: Integration by Parts 8.3: Trigonometric Integrals 8.4: Trigonometric Substitutions
1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 , 23 , 31 , 53 , 55 , 58 , 62
(Video) Using Sine
(Video) Using Tangent
(Video) Using Secant
8.5: Integration of Rational Functions by Partial Fractions 4.5: Indeterminant Forms and L'Hopital's Rule
3 , 13 , 15 , 19 , 23 , 27 , 29 , 31 , 35 , 41 , 49 , 51 , 53 , 59 , 63 , 65 , 67 , 79 , 85
(Video) Form 0/0
(Video) Form $$\infty / \infty$$
(Video) Form $$(0)(\infty)$$
(Video) Form $$\infty - \infty$$
(Video) Exponential Form
8.8: Improper Integrals

### Chapter 10: Infinite Sequences and Series

Style Guide for Series Conv./Div. Arguments

10.1: Sequences 10.2: Infinite Series 10.3: The Integral Test 10.4: Comparison Tests 10.5: The Ratio and Root Test 10.6: Alternating Series, Absolute and Conditional Convergence
1 , 3 , 7 , 11 , 15 , 23 , 27 , 29 , 33 , 41 , 47 , 49 , 50 , 51 , 53 , 54 , 55 , 57 , 59 , 63 , 71 , 96
(Video) AST - Development & Example
(Video) AST - Fail
(Video) Alt. Series Estimation Thm.
10.7: Power Series 10.8: Taylor and MacLauren Series 10.9: Convergence of Taylor Series 10.10: The Binomial Series and Applications of Taylor Series

### Chapter 11: Parametric Equations and Polar Coordinates

11.1: Parametrizations of Plane Curves 11.2: Calculus with Parametric Curves 11.3: Polar Coordinates
1 , 7 , 11 , 15 , 19 , 23 , 27 , 29 , 31 , 33 , 39 , 43 , 51 , 55 , 57, 59 , 59 , 65 , 67
(Video) Polar Coordinates - Introduction
(Video) Polar Curve - $$r = \sin \theta$$
(Video) Polar Curve - Cardiod
11.4: Graphing in Polar Coordinates
1 , 5 , 7 , 9 , 13 , 17 , 18 , 19 , 20 , 25 , 27
(Video) Slope of a Polar Curve
Explore Polar Graphs
11.5: Areas and Lengths in Polar Coordinates