Supposed that - ∞ < a < d

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.6: Translating Problems Into Equations
Problem 8MRE
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Supposed that – ∞ < a < d<c < ∞ and
= a < x < d
= d < x < b
and let g(a), g(b) amd g(d) be arbitrary. Supposed that f is defined on [a, b],
continuous from right at a and from the left at b, and continuous at d.
81
8(x) =
82
81,82 are constant
Show that
f(x)dg(x) exists, and Find its value.
Transcribed Image Text:Supposed that – ∞ < a < d<c < ∞ and = a < x < d = d < x < b and let g(a), g(b) amd g(d) be arbitrary. Supposed that f is defined on [a, b], continuous from right at a and from the left at b, and continuous at d. 81 8(x) = 82 81,82 are constant Show that f(x)dg(x) exists, and Find its value.
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