Consider the Riemann sum formed on with equal sub-intervals of width

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Consider the Riemann sum ∑i=1nf(a+(i−1)Δx) Δx\displaystyle \sum_{i=1}^{n} f\bigl(a+(i-1)\Delta x\bigr)\,\Delta x formed on [a,b][a,b] with equal sub-intervals of width Δx\Delta x. Which point of each sub-interval is used to evaluate the function? (a) The midpoint of each sub-interval (b) An arbitrary interior point selected independently of ii (c) The left endpoint of each sub-interval (d) The right endpoint of each sub-interval

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