Midpoint Riemann Sum

Definition

The Midpoint Riemann Sum is a method of approximating the area under a curve by dividing it into rectangles, where the height of each rectangle is determined by evaluating the function at the midpoint of each subinterval and using that value.

Related terms

Subinterval: A subinterval is a smaller interval within a larger interval. It represents one slice or segment in which we divide our overall interval.

Area under curve: The area under a curve represents the total sum of all the areas covered by rectangles in an approximation method like Riemann sums.

Function evaluation: This refers to finding out what value a function takes for a specific input or x-value. In midpoint Riemann sums, function evaluations are done at midpoints to determine heights of rectangles.