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)
