This calculus video tutorial provides a basic introduction into the mean value theorem for integrals. It explains how to find the value of c in the closed interval [a, b] guaranteed by the mean value theorem where the area under the curve is equal to the area of the rectangle at x = c. This video contains plenty of examples and practice problems. You need to be familiar with the process of finding antiderivatives and evaluating definite integrals.

Antiderivatives:
https://www.youtube.com/watch?v=xaCPDMEkbig

Fundamental Theorem - Part 1:
https://www.youtube.com/watch?v=aeB5BWY0RlE

Fundamental Theorem - Part 2:
https://www.youtube.com/watch?v=ns8N1UuXl4w

Net Change Theorem:
https://www.youtube.com/watch?v=df1Qr8pepx0

Mean Value Theorem - Integrals:
https://www.youtube.com/watch?v=bLeglo-c5Tw

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Average Value of a Function:
https://www.youtube.com/watch?v=MB1xDNKimNc

U-Substitution - Indefinite Integrals:
https://www.youtube.com/watch?v=sdYdnpYn-1o

U-Substitution - Definite Integrals:
https://www.youtube.com/watch?v=tM4RWc9ryx0

1st Order Differential Equations:
https://www.youtube.com/watch?v=C7nuJcJriWM

Initial Value Problem:
https://www.youtube.com/watch?v=kwGukY_2qWQ

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Area Between Two Curves:
https://www.youtube.com/watch?v=kgg5Rspf1Js

Disk and Washer Method:
https://www.youtube.com/watch?v=SAHSVg7Jw_A

Volume By The Shell Method:
https://www.youtube.com/watch?v=D5sT1br9soI

Volume By Cross Sections:
https://www.youtube.com/watch?v=qMXPnfx2MQM

Arc Length Calculus Problems:
https://www.youtube.com/watch?v=DNDAwWIL5FY

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https://www.video-tutor.net/

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https://www.patreon.com/MathScienceTutor/collections