Problem

Find the average value of the function on the giv…

00:36

Problem 2 Easy Difficulty

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

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

Answer

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

Topics

Applications of Integration

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 5

Average Value of a Function

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Watch More Solved Questions in Chapter 6

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

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.

Amrita B.

Topics

Applications of Integration

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 5

Average Value of a Function

Top Calculus 2 / BC Educators

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Samuel H.

University of Nottingham

Michael J.

Idaho State University

Problem