How to Use Riemann Sums to Calculate Integrals


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question 1 of 3

What is the one term left-sided Riemann Sum approximation for the integral below?

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1. What is the two term left-sided Riemann Sum approximation for the integral below?

2. Which of the following sums represents an n-term Riemann sum for the integral below?

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About This Quiz & Worksheet

Integrals in calculus are often solved using Riemann sums, and this quiz and worksheet combination will test your proficiency in using Riemann sums. Practice questions will cover left-sided Riemann sums, n-term Riemann sums, and using Riemann sum estimations.

Quiz & Worksheet Goals

In the quiz, you will be asked to solve for:

  • Riemann sum of an integral
  • One and two term left-sided Riemann sums
  • N-term Riemann sums
  • Riemann sum estimations

Skills Practiced

You can showcase the following skills in these guides:

  • Critical thinking - apply relevant concepts to examine information about left-sided Riemann sums in a different light
  • Problem solving - use acquired knowledge to solve for n-term Riemann sums in practice problems
  • Reading comprehension - ensure that you draw the most important information from the related lesson on Riemann sums and integrals
  • Knowledge application - use your knowledge to answer questions about Riemann sum estimations

Additional Learning

For more practice solving for Riemann sums, review the complementary lesson entitled How to Use Riemann Sums to Calculate Integrals. This lesson will cover a number of objectives, including:

  • Know when to use Riemann sums
  • Relate Riemann sum calculations to a real life situation through a narrative
  • Solve practice problems involving Riemann sums
  • Know how to solve integrals with Riemann sums using multiple or infinite slices