Is a continuous function defined on a closed interval on $R$ always Riemann integrable or are there counter examples?
I'm thinking it is true because it sounds like it would always be possible to find step functions to bound it?
Is a continuous function defined on a closed interval on $R$ always Riemann integrable or are there counter examples?
I'm thinking it is true because it sounds like it would always be possible to find step functions to bound it?
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