Q 6 - Calculus

Question

Do you think that one type of Riemann sum (right, left, midpoint, upper, lower, trapezoid) is usually more accurate than the others? Why or why not?

Step-by-Step Solution

Answer

To clarify, one sort of Riemann sum is frequently more precise than the others.

Step 1. Introduction

There are four different forms of sums: left sum, right sum, mid-point sum, and trapezoid sum.

The sum of the areas of equal width rectangles put beneath a curve is used in Riemann sums to estimate the area under a curve.

Step 2. Explanation

The types of are- left sum, right sum, mid-point sum and the trapezoid sum.

Riemann sums estimates the area under a curve by using the sum of the areas of equal width rectangles which are placed under a curve.

The more the number of rectangles gives more accurate area.

Both the mid-point sum and the trapezoid sum uses an average somewhere in their respective formulas.