Cite This Page
 
To Go
Definite Integrals
Definite Integrals
group rates for schools and districts
ADVERTISEMENT

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. Therefore 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.

Next Page: Midpoint Sums with Shortcuts
Previous Page: Error in Left- and Right-Hand Sums

Need help with College?