As you know, the area of any rectangle is equal to its height times its width. What follows the Σ are the terms that you will compute and add up.Įach term is an area calculation for a rectangle. That big Greek letter Sigma (Σ) is an instruction to add up a bunch of terms. Given a function f( x), and an interval, a Riemann sum estimates the value of the definite integral of f( x) from x = a to x = b according to the formula:įirst of all, it’s important to know what all that notation means. ![]() We’ll cover the basics and see a few examples below. ![]() ![]() There are a number of different types of Riemann sum that are important to master for the AP Calculus BC exam. What are Riemann sums? A Riemann sum is a sum that estimates the value of a definite integral (or area under a curve if the function is positive).
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