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9. Integrals Inequality of Nonnegative Functions Use the Max- to show that if f is integrable then f(x) = 0 on [a, b] ⇒ b [*f(x) f(x) dx ≥ 0.

9. Integrals Inequality of Nonnegative Functions Use the Max- to show that if f is integrable then f(x) = 0 on [a, b] ⇒ b [*f(x) f(x) dx ≥ 0.

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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9. Integrals of Nonnegative Functions Use the Max-Min Inequality to show that if f is integrable then f(x) ≥ 0 on [a, b] → [ f(x) dx ≥ 0. a
Transcribed Image Text:9. Integrals of Nonnegative Functions Use the Max-Min Inequality to show that if f is integrable then f(x) ≥ 0 on [a, b] → [ f(x) dx ≥ 0. a
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