Consider a partition of the interval into equal subintervals of width

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

Problem

Consider a partition of the interval [2,5][2,5] into nn equal subintervals of width Δx\Delta x. A Riemann sum is written with general term f(2+(i−1)Δx) Δxf\bigl(2+(i-1)\Delta x\bigr)\,\Delta x, where ii ranges from 11 to nn. Which endpoint (left or right) of each subinterval is being used as the sample point?

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