In the limit expression that defines a definite integral

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

In the limit expression lim⁡N→∞∑i=1Nf(xi∗) Δx\displaystyle \lim_{N\to\infty}\sum_{i=1}^{N} f(x_i^*)\,\Delta x that defines a definite integral, what does the factor Δx\Delta x represent?

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