Integration

Footnote

³It turns out that a function may have infinitely many discontinuities and still be Riemann integrable. The Riemann–Lebesgue theorem says that a function \(f \colon [a,b] \to \mathbb{R}\) is integrable if and only if it is bounded and its set of discontinuities has measure zero. The concept of measure zero is, however, well beyond the scope of these notes.