The Fundamental Theorem of Calculus Resources
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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.
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Want to calculate how fast to throw a nerf ball at your brothers head? The laws of motion are derived here using integration.
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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
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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.
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Icebergs and calculus go together like sushi and chopsticks. You can't have one without the other.
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Pop open a Dr. Pepper and have Dr. Bob explain these two theorems to you. Take a sip every time he says, "integral".
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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.
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Find out how to use antiderivatives to save you from running over a chupacabra. It may be more advantageous to hit it.
Vidoes
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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.
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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.