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Consider the following theorem. Theorem If f is integrable on [a, b], then f(x) dx lim f(x;)Ax %3D la i = 1 b — а and x, = a + iAx. where Ax Use the given theorem to evaluate the definite integral. |(7x2 + 7x) dx 2

Consider the following theorem. Theorem If f is integrable on [a, b], then f(x) dx lim f(x;)Ax %3D la i = 1 b — а and x, = a + iAx. where Ax Use the given theorem to evaluate the definite integral. |(7x2 + 7x) dx 2

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 17E: If e is the unity in an integral domain D, prove that (e)a=a for all aD. [Type here][Type here]
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Consider the following theorem. Theorem If f is integrable on [a, b], then 9. n f(x) dx = lim S {(x;)Ax n> 00 i = 1 b where Ax = — а and x; * = a + ¡Ax, n Use the given theorem to evaluate the definite integral. (7x2 + 7x) dx -2
Transcribed Image Text:Consider the following theorem. Theorem If f is integrable on [a, b], then 9. n f(x) dx = lim S {(x;)Ax n> 00 i = 1 b where Ax = — а and x; * = a + ¡Ax, n Use the given theorem to evaluate the definite integral. (7x2 + 7x) dx -2
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