### Overview

Definite integrals “sum up” infinitesimal changes; one such change is adding the area of an infinitesimal rectangle. Another is traveling an infinitesimal distance forward. In this session we use definite integrals to compute distance traveled over time given a velocity function. We discuss negative integrands and then list a few properties of definite integrals.

### Lecture Video and Notes

#### Video Excerpts

Clip 1: Interpretation of the Fundamental Theorem

Clip 2: The Fundamental Theorem and Negative Integrands

Clip 3: Properties of Integrals

### Worked Example

Integral of sin(x) + cos(x)