# The Fundamental Theorem of Calculus Examples

#### Integrating the Velocity Function

When Velocity is Non-NegativeAgain, let's assume we're cruising on the highway looking for some gas station nourishment. We could actually figure out the distance we've travelled by knowing our v...

#### 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 antiderivativesâ€“we just didn't tell you that's what they're called. It's like when you realize wh...

#### Units

Velocity is the rate of change of distance, and is measured inWhen we integrate velocity over a specific time interval, we get the distance traveled over that interval.The definite integral c...

#### Word Problems

Word problems involving integrals usually fall into one of two general categories: alien related and non-alien related. The non-alien related ones are totally the worst. Here's how to figure them...

#### 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 how to evaluate the definite integralif you know an antiderivative of f. The second FTC says how...

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