PROOF 144
Prove.
Properties of the definite integral
On a closed interval.
Definition D1
For a partition P: a = x₀ < … < xₙ = b of [a,b], let Iᵢ = [xᵢ₋₁, xᵢ], Mᵢ = sup f(Iᵢ), mᵢ = inf f(Iᵢ), and set U(P) = Σ MᵢΔxᵢ, L(P) = Σ mᵢΔxᵢ.
Proof.
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