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Let f be bounded and a be monotonically increasing in the closed interval [a, b]. If a' is Riemann integrable on a, b|, show that fE R(a) iff fa'ER on [a, b].

Let f be bounded and a be monotonically increasing in the closed interval [a, b]. If a' is Riemann integrable on a, b|, show that fE R(a) iff fa'ER on [a, b].

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f be bounded and a be monotonically increasing in the closed interval a, b). If a' is Riemann integrable on a, b), show that fE R(a) iff fa'ER on [a, b].
Transcribed Image Text:Let f be bounded and a be monotonically increasing in the closed interval a, b). If a' is Riemann integrable on a, b), show that fE R(a) iff fa'ER on [a, b].
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