Riemann Sum

Definition

A Riemann sum is an approximation of the area under a curve using rectangles. The sum is calculated by dividing the area into smaller rectangles and adding up their areas.

Related terms

Partition: A partition is dividing the interval over which we are finding the Riemann sum into smaller subintervals.

Upper Sum: An upper sum is a type of Riemann sum where each rectangle's height is determined by choosing the maximum function value within each subinterval.

Lower Sum: A lower sum is a type of Riemann sum where each rectangle's height is determined by choosing the minimum function value within each subinterval.