Chapter 7 - The Fundamental Theorem of Calculus
- About this Chapter
- Section 7.1 Averaging Continuous Functions: The Definite Integral
- 7.1.1 Average Temperature
7.1.2 Average Speed and Distance Traveled: First Estimate- 7.1.3 Average Speed and Distance Traveled: Better Estimates
- 7.1.4 Subdivide and Conquer
- 7.1.5 Area Under a Curve
- 7.1.6 The Definite Integral
- 7.1.7 Continuous Functions
- 7.1.8 Average Value of a Continuous Function
- Section Summary
- Exercises
- Section 7.2 The Fundamental Theorem of Calculus
- 7.2.1 Speedometer and Odometer
- 7.2.2 The First Half of the Fundamental Theorem:
Evaluation of Definite Integrals
- 7.2.3 Powerful Notation: The Indefinite Integral
- 7.2.4 The More Important Half of the Fundamental Theorem:
Representation of Functions
- Section Summary
- Exercises
- Chapter Summary
- Chapter Review
- Concepts and Applications
- Formulas
- Project 1. Area of Your Hand
- Project 2. Area of Crater Lake