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continuous functions are Riemann integrable

(Theorem)

Let $f\colon [a,b] \to \mathbb R$ be a continuous function. Then $f$ is Riemann integrable.

"continuous functions are Riemann integrable" is owned by paolini.

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Attachments:: proof of continuous functions are Riemann integrable (Proof) by paolini
integration under integral sign (Theorem) by pahio

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Cross-references: Riemann integrable, continuous function
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This is version 2 of continuous functions are Riemann integrable, born on 2003-07-17, modified 2003-08-01.
Object id is 4461, canonical name is ContinuousFunctionsAreRiemannIntegrable.
Accessed 4277 times total.

Classification:

26A42 (Real functions :: Functions of one variable :: Integrals of Riemann, Stieltjes and Lebesgue type)

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