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:    • Antiderivatives   Fundamental Theorem - Part 1:    • Fundamental Theorem of Calculus Part 1   Fundamental Theorem - Part 2:    • Fundamental Theorem of Calculus Part 2   Net Change Theorem:    • Net Change Theorem - Calculus Word Problems   Mean Value Theorem - Integrals:    • Mean Value Theorem For Integrals   ________________________________ Average Value of a Function:    • Average Value of a Function Over an Interv...   U-Substitution - Indefinite Integrals:    • How To Integrate Using U-Substitution   U-Substitution - Definite Integrals:    • U-substitution With Definite Integrals   1st Order Differential Equations:    • Separable First Order Differential Equatio...   Initial Value Problem:    • Initial Value Problem   ________________________________ Area Between Two Curves:    • Area Between Two Curves   Disk and Washer Method:    • Disk & Washer Method - Calculus   Volume by the Shell Method:    • Shell Method - Volume of Revolution   Volume By Cross Sections:    • Volumes Using Cross Sections - Calculus   Arc Length Calculus Problems:    • Arc Length Calculus Problems,   __________________________________ Calculus Final Exam and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets:   / collections