Notes - Analysis III TT23, Integrals of monotone functions
Flashcards
What relates a monotone function $f : [a, b] \to \mathbb R$ and integrability?
Any monotone function is integrable.
Draw a quick picture showing the proof that a monotone function $f: [a, b] \to \mathbb R$ is integrable.
Showing the difference between the majorants and minorants being compressed into a single stack of width $\frac{b-a}{n}$.
Proofs
Prove that any monotone function $f: [a, b] \to \mathbb R$ is integrable.
Todo (analysis iii, page 16).