Do ASAP, Proof by Theory of Riemann integral If fi and fa are two bounded and integrablefunctions on [a, b] and there exists a number >0 such that fa(x) |afor all x in [a, b], then f,lf, is bounded and integrable on [a, b].

Answered: Image /qna-images/answer/558ec157-4327-4b15-8897-b4a5ec0557a0.jpg

Answered: are two bounded and integrable…

are two bounded and integrable fiunctions on [a, b] and there exists a number >0 such that | f%(x) | A for all x in [a, b], then falf2 is bounded and integrable on [a, b}.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 6E: 6. Prove that if is any element of an ordered integral domain then there exists an element such...

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Question

Do ASAP, Proof by Theory of Riemann integral

If fi and fa are two bounded and integrable
functions on [a, b] and there exists a number >0 such that fa(x) |
afor all x in [a, b], then f,lf, is bounded and integrable on [a, b].

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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