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Find the average value of the function on the given interval.

$ f(x) = \sqrt{x} $ , $ [0, 4] $

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Calculus 2 / BC

Chapter 6

Applications of Integration

Section 5

Average Value of a Function

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

Lectures

01:43

Find the average value of …

02:05

01:00

we know we're gonna be using the average value formula, which is one over being minus. Eso won over four minus zero, bound from A to B 04 and then our functions for it of X d x. This simplifies to 1/4 times acts to the three over 2 to 3 over to cause we're integrating from 04 We end up with 1/4 times, 2/3 terms floor squirt of 40 when we're plugging end, which gives us 4/3 of our solution.

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