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Let f(x)=x for rational x and f(x) = 0 for irrational x. (a) Calculate the upper and lower Darboux integrals for f on the

Let f(x)=x for rational x and f(x) = 0 for irrational x. (a) Calculate the upper and lower Darboux integrals for f on the interval [0, b]. (b) Is f integrable on [0,b]?

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