Express the limit lim n→∞ a = n Σ (7(x)² - 4(x) ³) Ax; over [5, 8] as an integral. i=1 Provide a, b and f(x) in the expression b= b •[ f(x)dx. a f(x) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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Express the limit lim
n→∞
a =
n
Σ (7(x)² - 4(x) ³) Ax; over [5, 8] as an integral.
i=1
Provide a, b and f(x) in the expression
b=
b
•[ f(x)dx.
a
f(x) =
Transcribed Image Text:Express the limit lim n→∞ a = n Σ (7(x)² - 4(x) ³) Ax; over [5, 8] as an integral. i=1 Provide a, b and f(x) in the expression b= b •[ f(x)dx. a f(x) =
Evaluate the integral below by interpreting
it in terms of areas in the figure.
The areas of the labeled regions are
A1 = 7, A2=4, A3=2 and A4=1
5
V
v=6³₁
- f(x)dx
V =
E
3
10
A1
y=f(x)
3
A2
5
A3
7 A4
(figure is NOT to scale)
10
Transcribed Image Text:Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the labeled regions are A1 = 7, A2=4, A3=2 and A4=1 5 V v=6³₁ - f(x)dx V = E 3 10 A1 y=f(x) 3 A2 5 A3 7 A4 (figure is NOT to scale) 10
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