Unit 3 Introduction

The derivative tells us the rate of change of a function whose values we know. The definite integral tells us the value of a function whose rate of change and initial conditions are known.

Part A

The definite integral of a function describes the area between the graph of that function and the horizontal axis. The First Fundamental Theorem of Calculus confirms that we can use what we learned about derivatives to quickly calculate this area.

» Session 43: Definite Integrals
» Session 44: Adding Areas of Rectangles
» Session 45: Some Easy Integrals
» Session 46: Riemann Sums
» Session 47: Introduction of the Fundamental Theorem of Calculus
» Session 48: The Fundamental Theorem of Calculus
» Session 49: Applications of the Fundamental Theorem of Calculus
» Session 50: Combining the Fundamental Theorem and the Mean Value Theorem
» Problem Set 6