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midpoint rule riemann sums basic introduction calculus area under the curve definite integral area of the shaded region practice problems examples introduction problems

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This calculus video tutorial provides a basic introduction into the midpoint rule which is used to approximate the area under the curve. This video explains how to use the midpoint rule to estimate the area of a region using rectangles and how to confirm the approximate integration by evaluating the definite integral over the closed interval. The definite integral gives you the exact answer for the area of the shaded region. This video contains plenty of examples and practice problems on the midpoint rule and Riemann sums. Applications of Integration - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Final Exam and Test Prep Videos: https://bit.ly/41WNmI9 _____________________________ Antiderivatives: https://www.youtube.com/watch?v=xaCPDMEkbig Basic Integration Problems: https://www.youtube.com/watch?v=zOxaUlRkFG0 Indefinite Integral: https://www.youtube.com/watch?v=JTFMeSCxgcA Definite Integral: https://www.youtube.com/watch?v=Gc3QvUB0PkI Differential Equations: https://www.youtube.com/watch?v=H5tD_NtPDuU _______________________________ Properties of Definite Integrals: https://www.youtube.com/watch?v=QcHz3h81U-s Rectilinear Motion Problems: https://www.youtube.com/watch?v=LBmET4sH460 Sigma Notation - Calculus: https://www.youtube.com/watch?v=XJkIaw2e1Pw Riemann Sums - Area: https://www.youtube.com/watch?v=YTKQswb60Pw The Midpoint Rule: https://www.youtube.com/watch?v=5XreKMJDJsg ________________________________ Finding Area - Limit Definition: https://www.youtube.com/watch?v=ctEpKZyxqFU Definite Integrals - Geometry: https://www.youtube.com/watch?v=ghxEOz9rmwE 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 __________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections