Let f(x) = 1/n for x = m/n with (m, n) = 1, and f(x) = 0 for irrational x. For irrational u € (0, 1) let Fu(x) = 0 if x < u and F₂(x) = 1 if x ≥ u. Show that f is Fu-integrable on [0, 1].

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