Use the definition of the average value of a function to compute the exact average value of the function f on the given interval. Show details of the integration process JZfa23Worksheet: AverageDEFINITION. The Average Value of a function f(x), fam1jsoafariz€ [0, e-1]M1. Use the definition to compute the exact averageShow all details of the integration process.teba ba. f(x)=√√4-x , re[0,4]4-0 $√4-x dx+ 5* (4-x)²² dx[(4-*) ¹/² (-1)]*+ [ ²3 (4- X ) ²/2] - - + (4- ) /1b. f(t): 1(4+ x)²/1/2₁1/2+1

Answered: Image /qna-images/answer/f6d5276b-27e4-4e9e-b01e-4e999c483bdb.jpg

Answered: 1. Use the definition to compute the…

1. Use the definition to compute the exact average Show all details of the integration process. a b a f(x)=V4-r, re[0,4]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 58E

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Question

Use the definition of the average value of a function to compute the exact average value of the function f on the given interval. Show details of the integration process

JZfa23
Worksheet: Average
DEFINITION. The Average Value of a function f(x), fam
1
jso
a
fariz
€ [0, e-1]
M
1. Use the definition to compute the exact average
Show all details of the integration process.
te
b
a b
a. f(x)=√√4-x , re[0,4]
4-0 $√4-x dx
+ 5* (4-x)²² dx
[(4-*) ¹/² (-1)]*
+ [ ²3 (4- X ) ²/2] - - + (4- ) /
1
b. f(t): 1
(4+ x)²/1/2₁
1/2+1

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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