5.1: Estimating with Finite Sums 
5.2: Sigma Notation and Limits of Finite Sums 
5.3: The Definite Integral 
5.4: The Fundamental Theorem of Calculus 
5.5: Indefinite Integrals and the Substitution Rule 
5.6: Substitution and Area Between Curves

6.1: Volumes Using Cross-Sections 
6.2: Volumes Using Cylindrical Shells 
6.3: Arc Length 
6.4: Areas of Surfaces of Revolution
 
7.1: The Logarithm Defined as an Integral (Optional)

8.1: Integration by Parts 
8.2: Trigonometric Integrals 
8.3: Trigonometric Substitutions 
8.4: Integration of Rational Functions by Partial Fractions 

8.a: Miscellaneous Examples

8.5: Integral Tables and Computer Algebra Systems
8.6: Numerical Integration 
8.7: Improper Integrals

9.1: Sequences
9.2: Infinite Series 
9.3: The Integral Test
9.4: Comparison Tests
9.5: The Ratio and Root Tests 
9.6: Alternating Series, Absolute and Conditional Convergence
9.7: Power Series 
9.8: Taylor and Maclaurin Series 
9.9: Convergence of Taylor Series 
9.10: The Binomial Series

10.3: Polar Coordinates 
10.4: Graphing in Polar Coordinates 
10.5: Areas and Lengths in Polar Coordinates

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