EPISODE · Nov 26, 2021
MVT for Integrals, 1st FTC, and 2nd FTC Proofs
from Mathorama · host Chris Thiel
MVT for Integrals, 1st FTC, and 2nd FTC Proofs Section 4.4 is chock full of gold. There is a lot there, so the video lets you take it in.Here are the Subjects by Time: 0:00 - The MVT for integrals (Average Value Thm) & AVERAGE VALUEs 4:20 - An example with f(x) =6 and a curious observation 6:24 -The First Fundamental Theorem Proof11:16 - An Example of FTC1 12:51 - "Net Change Theorem" version of FTC1 with a "word problem" example15:27 -The Second Fundamental Theorem of Calculus with for examples19:05 - The End
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MVT for Integrals, 1st FTC, and 2nd FTC Proofs
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