Lesson: Riemann Sums and Sigma Notation Mathematics • Higher Education

In this lesson, we will learn how to use sigma notation with Riemann sums to find the area under a curve.

Lesson Plan

Students will be able to

use sigma notation to write down and evaluate a Riemann sum,
correctly differentiate between a right Riemann sum and a left Riemann sum in sigma notation.

Q1:

Represent the area under the curve of the function on interval in sigma notation using right Riemann sums with subintervals.

Q2:

Find the lower Riemann sum approximation for on , given that subintervals.

Q3:

Compute the left Riemann sum for on , given that there are six subintervals of equal width. Approximate your answer to nearest two decimal places.