Single Variable Calculus
3. The Definite Integral and its Applications
Part B: Second Fundamental Theorem, Areas, Volumes
Session 52: Proving the Fundamental Theorem of Calculus
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Using the interpretation of the definite integral as describing the area under a graph, we prove the second fundamental theorem. Then we use FTC2 to prove FTC1.
» Clip 1: Proof of the Second Fundamental Theorem of Calculus (00:03:00)
» Accompanying Notes (PDF)
From Lecture 20 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Proof of the Second Fundamental Theorem of Calculus
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» Clip 2: Proof of the First Fundamental Theorem of Calculus (00:09:00)
Clip 2: Proof of the First Fundamental Theorem of Calculus
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