Mean Value Theorem For Integrals

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. Application of Integration - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html ________________________________ 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