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.
Antiderivatives:
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Fundamental Theorem - Part 1:
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Fundamental Theorem - Part 2:
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Net Change Theorem:
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Mean Value Theorem - Integrals:
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Average Value of a Function:
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U-Substitution - Indefinite Integrals:
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U-Substitution - Definite Integrals:
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1st Order Differential Equations:
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Initial Value Problem:
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Area Between Two Curves:
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Disk and Washer Method:
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Volume By The Shell Method:
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Volume By Cross Sections:
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Arc Length Calculus Problems:
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Calculus Final Exam and Video Playlists:
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Full-Length Videos and Worksheets:
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