Calculus

Riemann Sum

Integral as infinitely many rectangles

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Area ∫₀⁴ x² dx

≈15.360,exact=643≈21.333\approx 15.360, \quad \text{exact} = \frac{64}{3} \approx 21.333

More rectangles (n→∞) = better approximation. Now: n = 5, error ≈ 5.973.