how do I calculate the upper and lower integrals for a piecewise function: $ f(x) = 3x $ if x is rational and $ f(x) = -2x$ if not? the interval is [0,1].
2026-03-31 05:19:52.1774934392
upper and lower integrals piecewise function on [0,1]
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$$U=\int_0^1 3x dx=\frac {3}{2} $$
$$L=\int_0^1-2x dx=-1$$