Average Value of a Function on an Interval

This calculus video tutorial explains how to calculate the average value of a function over an interval and how to find the value of c that makes the function f(x) equal to the average value of the function where the area of the rectangle is equal to the area under the curve on the interval [a,b]. Applications of Integration - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Final Exam and Test Prep Videos: https://bit.ly/41WNmI9 _______________________________ 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 ________________________________ 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 ________________________________ 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 __________________________________ Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections