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# Find the average value of the function on the given interval.$f(x) = \sqrt{x}$ , $[0, 4]$

## $f_{a v g}=\frac{4}{3}$

#### Topics

Applications of Integration

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### Video Transcript

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.

#### Topics

Applications of Integration

Lectures

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