Lesson: Riemann Sums Mathematics • Higher Education

In this lesson, we will learn how to approximate the area under the curve of a function using right, left, and midpoint Riemann sums.

Lesson Video

Sample Question Videos

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Lesson Worksheet

Q1:

Given that and that , evaluate, to the nearest six decimal places, the Riemann sum for with six subintervals, taking the sample points to be left endpoints.

Q2:

Let over . Using four subintervals and taking midpoints as sample points, evaluate the Riemann sum of to six decimal places.

Q3:

Given and , evaluate the Riemann sum for with six subintervals, taking sample points to be midpoints.