Riemann sums and integrability criteria
General · Mathematics
Study notes
Q: Estimate ∫₀²x dx with n = 4 right Riemann sum. Exact? Δx = 0.5. Right points: 0.5, 1, 1.5, 2. R = 0.5(0.5+1+1.5+2) = 0.5×5 = 2.5. Exact: 2. (Overestimate - increasing function!) Refine: n = 8: R = 2.25 (→ 2 as n→∞!).