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# The Fundamental Theorem of Calculus Resources

## Best of the Web. Picked by our PhDs

### Websites

Fundamental Theorem of Calculus With Examples

The FTC is the rivet that binds derivatives to integrals. It's also a useful tool to cheat your way out of doing some integrals. This is one theorem you want to know.

Distance, Velocity, and Acceleration

Want to calculate how fast to throw a nerf ball at your brothers head? The laws of motion are derived here using integration.

Second Fundamental Theorem of Calculus With Examples

The FTC has a doppelganger known as the Second FTC. Check out the not-so-evil twin of the FTC and some examples on how to use it.

### Videos

The Indefinite Integral or the Antiderivative

No, the antiderivative is not an evil incarnation come to see to the destruction of mathematics. In this video, the antiderivative idea is explained as the inverse of the derivative.

Integral Involving Ice

Icebergs and calculus go together like sushi and chopsticks. You can't have one without the other.

Dr. Bob Explains the First and Second Fundamental Theorems

Pop open a Dr. Pepper and have Dr. Bob explain these two theorems to you. Take a sip every time he says, "integral".

The FTC Proved!

If a wacky waving inflatable arm flailing tube man captures your attention, this video on the proof of the FTC will do just the same.

A Word Problem with Position, Velocity, and Acceleration

Find out how to use antiderivatives to save you from running over a chupacabra. It may be more advantageous to hit it.

### Vidoes

Fundamental Theorem of Calculus Explained

With several good examples, you'll feel like a superhero with the power to solve any FTC problem after watching this video. Maybe you'll get laser beam eyes, too.

Applying the Second Fundamental Theorem of Calculus

Applying the Second FTC is a bit like swinging a fly swatter at wasp. Swing it right, and you'll get it. Swing wrong, and you'll get stung. This MIT professor shows you how to use the Second FTC.