# The Fundamental Theorem of Calculus

### Best of the Web

### 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.