Substitute the values of f(x), a, and b in the Integral from the previous step, and find the average value of the given function f(x). 4x2 dx =

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Find the average value of the function over the glven Interval and all values of x In the Interval for which the function equals its average value.
F(x) = 4x - 3x, (-2, 4]
Step 1
Recall that the average value of a function f(x) over an Interval [a, b] is glven by
1
f(x) dx.
b - a
Here, f(x) = 4x
-2
and b =
Step 2
Substitute the values of (x), a, and b in the Integral from the previous step, and find the average value of the given function f(x).
4x -
Transcribed Image Text:Find the average value of the function over the glven Interval and all values of x In the Interval for which the function equals its average value. F(x) = 4x - 3x, (-2, 4] Step 1 Recall that the average value of a function f(x) over an Interval [a, b] is glven by 1 f(x) dx. b - a Here, f(x) = 4x -2 and b = Step 2 Substitute the values of (x), a, and b in the Integral from the previous step, and find the average value of the given function f(x). 4x -
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