How to Find the Limits of Riemann Sums


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question 1 of 3

Which of the following integrals is equal to the following summation over the continuous region x=a to x=b?

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1. In the following integral, 4 is defined as which of the following?

2. In the following integral, g(x) is defined as which of the following?

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About This Quiz & Worksheet

This lesson on Riemann sums will help you understand how to define the Holy Grail of calculus, the integral, and this quiz and worksheet combination will help you improve and test your understanding of this pivotal subject. These practice questions will test you on your understanding of integrals and your ability to solve problems involving integrals and Riemann sums.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Identifying integrals
  • Your understanding of integrals and integrands
  • Identifying Riemann sums given an integral

Skills Practiced

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

  • Reading comprehension - ensure that you draw the most important information on Riemann sums and integrals from the related lesson
  • Problem solving - use what you know to solve calculate the summation over a continuous region
  • Defining key concepts - ensure that you can accurately define main phrases, such as Riemann sums, integrals, integrands, and limits

Additional Learning

You should also read the lesson called How to Find the Limits of Riemann Sums. It helps you learn the following:

  • Determine how to use Riemann sums to more accurately estimate area
  • Differentiate between right and left Riemann sums
  • Define integrals