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Prove that if f C¹([a, b]), then Vaf = falf'(x) dx. [You may assume f, f'(x) dx. ] that f(x)-f(x-1)=

Prove that if f C¹([a, b]), then Vaf = falf'(x) dx. [You may assume f, f'(x) dx. ] that f(x)-f(x-1)=

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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Prove that if f € C¹([a, b]), then Vf=ff'(x) dx. [You may assume that f(x;) - f(x-1) = ₁ f'(x) dx. ]
Transcribed Image Text:Prove that if f € C¹([a, b]), then Vf=ff'(x) dx. [You may assume that f(x;) - f(x-1) = ₁ f'(x) dx. ]
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