How to Use Riemann Sums for Functions and Graphs


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question 1 of 3

You are going to take a Riemann Sum of the area below. To do this, you divide the region into four slices of equal width. How wide is each slice?

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1. Estimate the area beneath the curve f(x) using the two term Riemann sum as shown below.

2. How many terms are in the Riemann sum represented below?

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About This Quiz & Worksheet

Riemann sums have multiple applications in mathematics, and you can assess your proficiency with their use in relation to functions and graphs with these guides. In the questions, you will be asked to solve problems involving one and two term Riemann sums, the width of slices for a Riemann sum and the area under a curve.

Quiz & Worksheet Goals

Practice questions in this quiz will inquire about:

  • Width of slices used to find a Riemann sum
  • Area under a curve using one and two term Riemann sums
  • Identifying a Riemann sum based on a graph of the function
  • Amount of terms in a given Riemann sum

Skills Practiced

You will exercise the following skills throughout these assessments:

  • Problem solving - use acquired knowledge to solve practice problems involving Riemann sums
  • Reading comprehension - ensure that you draw the most important information about Riemann sums from the related lesson
  • Information recall - access the knowledge you've gained regarding the width of Riemann sum slices

Additional Learning

To continue learning about this mathematics subject be sure to go over the complementary lesson titled How to Use Riemann Sums for Functions and Graphs. This lesson covers various goals, such as:

  • Relate the use of Riemann sums to real life situations, such as determining property size
  • Explain the steps to find area using a Riemann sum
  • Solve practice problems involving area given by the lesson
  • Express Riemann sums in proper sum notation