Example 1 Video Example) Find the average value of the function f(x) = 3 + x² on the interval [-2, 4]. Solution With a = -2 and b = 4, we have 1 fave = b ² = f(x 4 10 f(x) dx -2 1 y 20+ 15 10 5 1) 11₂ (3 + x²) dx 2 4 fave = 7 6 X ↑

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 57E
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Example 1
Video Example)
Find the average value of the function f(x) = 3 + x² on the interval [−2, 4].
Solution
With a = -2 and b = 4, we have
fave
=
1
b = = ["f(x) dx
b-a
=
4
-100
=
-2
1
y
20
15
10
5
]) / ² (3 + x²) dx
14
-2
2
4
fave = 7
6
X
i
Transcribed Image Text:Example 1 Video Example) Find the average value of the function f(x) = 3 + x² on the interval [−2, 4]. Solution With a = -2 and b = 4, we have fave = 1 b = = ["f(x) dx b-a = 4 -100 = -2 1 y 20 15 10 5 ]) / ² (3 + x²) dx 14 -2 2 4 fave = 7 6 X i
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