PROOF 46

Prove.

The definite integral is the limit of Riemann sums

On a closed interval.

Definition D1

A partition of [a,b] is a finite set of points a = x₀ < x₁ < … < xₙ = b. Write Δxᵢ = xᵢ − xᵢ₋₁ and ‖P‖ = max Δxᵢ.

Proof.

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