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,...