4. Let f [a, b] → R be Riemann integrable and non-negative (i.e. f(x) ≥ 0 for all x € [a, b]). cb Prove that f≥ 0. a Hint: Prove first that for any partition P of [a, b] it holds that U(f, P) ≥ 0.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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4. Let f: [a, b] → R be Riemann integrable and non-negative (i.e. f(x) ≥ 0 for all x = [a, b]).
cb
To s
Hint: Prove first that for any partition P of [a, b] it holds that U(f, P) ≥ 0.
Prove that
f≥ 0.
Transcribed Image Text:4. Let f: [a, b] → R be Riemann integrable and non-negative (i.e. f(x) ≥ 0 for all x = [a, b]). cb To s Hint: Prove first that for any partition P of [a, b] it holds that U(f, P) ≥ 0. Prove that f≥ 0.
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