5. If True proof, if false provide a counter example. [10pt] Let f : [a, b] → R. If |f| is Riemann integrabl e[a, b], then f is Riemann on integrable. [10pt] If f : [0, 1] → R, is continuous and fo f(x)dx > 0, then there exists an interval[a, b] such that 0< a < b<1 and f(x) > 0 for all x E [a, b].

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