Study Guide

The Fundamental Theorem of Calculus Topics

Integrating the Velocity Function

Again, let's assume we're cruising on the highway looking for some gas station nourishment. We...

About the Fundamental Theorem of Calculus (FTC)

If s(t) is a position function with rate of change v(t) = s'(t), thenbecause both of these...

Using the FTC to Evaluate Integrals

If f is the derivative of F, then we call F an antiderivative of f. We already know how to find...

Units

Velocity is the rate of change of distance, and is measured inWhen we integrate velocity over a...

Word Problems

Word problems involving integrals usually fall into one of two general categories: alien related...

The Second Fundamental Theorem of Calculus

As if one Fundamental Theorem of Calculus wasn't enough, there's a second one. The first FTC says...

In the Real World

We could try to point out different careers in which you need to use what we've just been doing,...