Mathematics

Problem

Consider the Riemann sum

\displaystyle \sum_{i=1}^{n} f\bigl(a+(i-1)\Delta x\bigr)\,\Delta x

formed on

[a,b]

with equal sub-intervals of width

\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

i

c) The left endpoint of each sub-interval d) The right endpoint of each sub-interval

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