Is this function integrable?
$f:[0, 1] \to \mathbb{R}$
I know that this function is bounded and it has points of discontinuity, I don't know how much and how to use boundedness of this function.
2026-03-30 09:46:37.1774863997
Check if function is integrable
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Since it is bounded and since the set of points at which it is discontinuous is countable and therefore it has Lebesgue measure $0$, it is Riemann-integrable.