Consider the following theorem. Theorem If f is integrable on [a, b], then f(x) dx : lim f(x;)Ax n- co i = 1 b – a and x; = a + iAx. in where Ax Use the given theorem to evaluate the definite integral. (x2 – 4x + 6) dx

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Consider the following theorem.
Theorem
If f is integrable on [a, b], then
in
f(x) dx
= lim f(x;)Ax
i = 1
- a
where Ax
and x; :
= a + jAx.
in
Use the given theorem to evaluate the definite integral.
(x2 - 4x + 6) dx
Transcribed Image Text:Consider the following theorem. Theorem If f is integrable on [a, b], then in f(x) dx = lim f(x;)Ax i = 1 - a where Ax and x; : = a + jAx. in Use the given theorem to evaluate the definite integral. (x2 - 4x + 6) dx
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