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If f is bounded and integrable on [a, b] such that | f(x) | 0). a

If f is bounded and integrable on [a, b] such that | f(x) | 0). a

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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Don't give this solution. This is worng, we must be use Riemann integral theory

If f is bounded and integrable on [a, b] such that | f(x) | <k V xE[a, b], then . f dx<k | b-al (k>0).
Transcribed Image Text:If f is bounded and integrable on [a, b] such that | f(x) | <k V xE[a, b], then . f dx<k | b-al (k>0).
R be intagrasle Thiorem! Lut f: [arb] - On [a, b] thin Mow. dz de a k dx こK C K(b-a) •: bya, Ibaal
Transcribed Image Text:R be intagrasle Thiorem! Lut f: [arb] - On [a, b] thin Mow. dz de a k dx こK C K(b-a) •: bya, Ibaal
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