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Riemann Sum

Approximates the area under a curve by partitioning the interval and summing rectangle areas f(x_i)·Δx; as the partition is refined, the sums converge to the definite integral, defining it.

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Riemann Sums Left and Right Endpoint Approximations in Calculus using y=x^2 from 0 to 8

Riemann sums provide a theoretical framework for approximating definite integrals and calculating the area under a curve using rectangular partitions defined by uniform widths ($\Delta x$). The metho…