Suppose that is a Riemann integrable on and for all . Prove that is Riemann integrable on .
Relevant Theorems & Definitions
Definition - Riemann integrable - if upper integral of = lower integral of .
Theorem - Riemann integrable iff such that a partition of such that marked refinements of , , where .
Theorem - Let be a continuous function on . Then is Riemann integrable on .
Theorem - Riemann integrable iff for each a partition of such that .
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