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• Section 4.6     l'Hospital's Rule
• Section 4.9     Antiderivatives
• Section 5.1     Areas and Distances
• Section 5.2     The Definite Integral
• Section 5.3     Evaluating Definite Integrals
• Section 5.4     The Fundamental Theorem of Calculus
• Section 5.5     The Substitution Rule
• Section 5.6     Integration by Parts
• Section 5.7     Additional Techniques of Integration
•                     Integration Using Trigonometric Substitution
•                     Integration of Rational Functions by Partial Fractions
• Section 5.8     Integration Using Tables and Computer Algebra Systems
• Section 5.9     Approximate Integration
• Section 4.5     Indeterminate Forms and L'Hospital's Rule
• Section 5.10   Improper Integrals
• Section 6.1     More about Areas
• Section 6.2     Volumes
• Section 6.3     Arc Length
• Section 6.4     Average Value of a Function
• Section 6.5     Applications to Physics and Engineering
• Section 7.1     Modeling with Differential Equations
• Section 7.2     Direction Fields and Euler's Method
• Section 7.3     Separable Equations
• Section 7.4     Exponential Growth and Decay
• Section 8.1     Sequences
• Section 8.2     Series
• Section 8.3     The Integral and Comparison Tests; Estimating Sums
• Section 8.4     Other Convergence Tests
• Section 8.5     Power Series
• Section 8.6     Representations of Functions as Power Series
• Section 8.7     Taylor and Maclaurin Series
• Section H.1     Curves in Polar Coordinates
• Section H.2     Areas and Lengths in Polar Coordinates
• Worksheet      From Polar Coordinates to Cylindrical and Spherical Coordinates