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Definite Integrals

Definite Integrals

Midpoint Sum

We're driving along from right coast to the left coast, and now it's time to take a rest stop at the midpoint sum. Grab some snacks before continuing on. We recommend all flavors of Sun Chips and wasabi almonds.

A midpoint sum is similar to a left-hand sum or right-hand sum. For a midpoint sum, the height of the rectangle on a particular sub-interval is the value of f at the midpoint of that sub-interval. Hence the name midpoint sum.

As with left- and right-hand sums, we can also find a midpoint sum using graphs or tables—as long as there's enough information to find the midpoint of each sub-interval.

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