Chapter 1: Introduction to Integrals
1.1: What are Integrals/Antiderivatives? Where do we use them? + Areas and Distances
1.2: Definite Integrals
1.3: Fundamental Theorem of Calculus
1.4: Indefinite Integrals and the Net Change Theorem + Substitution Rule
1.5: Approximate Integration and Midpoint Rule
Chapter 2: Applications of Integrals
2.1: Areas Between Curves
2.2: Volumes
2.3: Volumes By Cylindrical Shells
2.4: Work
2.5: Average Value of a Function
2.6: Arc Length
2.7: Area of a Surface of Revolution
2.8: Probability
Chapter 3: Techniques of Integration
3.1: Integration by Parts
3.2: U-Substitution
3.3: Trigonometric Integrals + Trigonometric Substitution
3.4: Integration of Rational Functions by Partial Fractions
3.5: Improper Integrals
3.6: Strategy for Integration
3.7: Integration Using Tables and Computer Algebra Systems
Chapter 4: Sequences and Series
4.1: Sequences
4.2: Series
4.3: Integral Test + Estimates of Sums
4.4: Comparison Tests
4.5: Alternating Series
4.6: Absolute Convergence and the Ratio and Root Tests
4.7: Power Series
4.8: Strategy for Testing Series + Representations of Functions as Power Series
4.9: Taylor and Maclaurin Series
Link to Textbook: Calculus Early Transcendentals, 8th Edition by James Stewart