Proof If (J."-, is a collection of disjoint finite intervals such that J S [a, b], anda, ...,an E R, then g(x) = Eax is Riemann integrable on [a, b] andgx)dx = Ea(a -B), where a and R are the end points of J.

Answered: Image /qna-images/answer/f6626e08-5dc4-4fbd-948b-682aac5b55fd.jpg

Answered: UA", is a collection of disjoint finite…

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 21E: [Type here] 21. Prove that ifand are integral domains, then the direct sum is not an integral...

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UA", is a collection of disjoint finite intervals such that J S (a, b], and a.,an E R, then g(x) = £ax, is Riemann integrable on [a, b] and S g(x)dx = Ea(a -B). where a and A are the end points of Jt