How to Identify and Draw Left, Right and Middle Riemann Sums


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question 1 of 3

What is the one-term left-side Riemann sum for y=f(x) from 0 to 2 for the graph below?

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1. Which of the following is NOT either a left, right, or center Riemann sum for f(x) between 0 and 4?

2. What is the four-term right-side Riemann sum for the area under the curve y=f(x)?

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About This Quiz & Worksheet

Riemann sums give you the area between some function and an axis, and this quiz/worksheet combination will help you test your understanding of the three variations of the Riemann sum, the left, right, and middle. The practice questions on the quiz will test you on identifying left, middle, and right Riemann sums.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Your ability to define one, two, and four term Riemann sums
  • Identifying a left, middle, or right-sided Riemann sum
  • Determining the Riemann sum for both the y- and x-axes

Skills Practiced

This quiz and worksheet will allow you to test your skills in the following areas:

  • Reading comprehension - ensure that you draw the most important information on left, right, and middle Riemann sums from the related lesson
  • Problem solving - use your acquired knowledge to solve practice problems involving four-term right-handed Riemann sums
  • Distinguishing differences - compare and contrast topics from the lesson, such as left, right, and middle Riemann sums
  • Information recall - access the knowledge you've gained regarding two-term left-side Riemann sums

Additional Learning

The lesson called How to Identify and Draw Left, Right and Middle Riemann Sums covers the following objectives:

  • Review Riemann sums
  • Define left, right, and middle Riemann sums
  • Differentiate between left, right, and middle Riemann sums
  • Understand how to use each of these sums to determine the area from an axis to a given point