Proposition: Monotonic Real Functions on Closed Intervals are Riemann-Integrable

Let \([a,b]\) be a closed real interval. If a function \(f:[a,b]\mapsto\mathbb R\) is monotonic, then it is Riemann-integrable.

Proofs: 1


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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983