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    Reimann integrable problem

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    If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on [c,d]

    hint: if P is any partition of [c,d], P can be extended to a partition P* of [a,b] with ||P*|| <= ||P||. Show that

    U(f,P) - L(f,P) <= U(f,P*) - L(f,P*)

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    If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on ...

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    Reimann integrable problem is assessed.

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