key term - Trapezoidal Riemann Sum

Definition

The trapezoidal Riemann Sum is a method used to approximate the value of an integral by dividing the area under the curve into trapezoids. It provides a better estimate than other types of Riemann Sums because it takes into account the slope of the function between two points.

Related terms

Left Riemann Sum:

This is another method used to estimate integrals by using rectangles where each rectangle's height is determined by evaluating the function on the left endpoint of each interval.

Right Riemann Sum:

Similar to Left Riemann Sum but uses rectangles where each rectangle's height is determined by evaluating the function on the right endpoint of each interval.

Midpoint Rule: A method that uses rectangles with their heights determined by evaluating the function at midpoints within each interval for approximating integrals.