(b) Let f: [0, 2] R be the constant function f(x) = -2 for all r E [0, 2] and let g : [0, 2] → R be g(r) = x. Prove that f is R-S integrable with respect to g on [0, 2] and compute the value of | fdg.
(b) Let f: [0, 2] R be the constant function f(x) = -2 for all r E [0, 2] and let g : [0, 2] → R be g(r) = x. Prove that f is R-S integrable with respect to g on [0, 2] and compute the value of | fdg.
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 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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