New Calculus Video Playlist - Average Value of a Function Over an Interval - Calculus

This calculus video tutorial explains how to find the average value of a function over a closed interval [a, b]. Examples include linear functions, quadratic functions, and square root functions. The average value formula can be derived from the mean value theorem formula for integrals. The average value represents the y coordinate of the point where the area under the curve is equal to the area of the rectangle formed at the point (c, f(c)) in the interval [a, b]. This video contains plenty of examples and practice problems on the average value theorem for integrals. Applications of Integration - Free Formula Sheet: https://bit.ly/3ZdKSnK ______________________________ 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