1. Integrability of uniformly continuous functions

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Definition 8.7 is needed for the proof of Theorem 8.6. It's our first epsilon-delta statement. Note that C([a,b]) was defined and studied avoiding such statements.

I got the nice idea of sliding the epsilon-delta rectangle along the graph to explain the word uniform from Thomas Rot.

NB You'll notice I confuse horizontal en vertical twice....
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