We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.

General Riemann Sums Exercises

Example 1

For the integral, (a) find the indicated approximation, and
(b) determine if your approximation is an under-estimate, an over-estimate, or exact.

  • RHS(3) for  

Example 2

For the integral, (a) find the indicated approximation, and
(b) determine if your approximation is an under-estimate, an over-estimate, or exact.

  • LHS(5) for 

Example 3

For the integral, (a) find the indicated approximation, and
(b) determine if your approximation is an under-estimate, an over-estimate, or exact.

  • MID(3) for 

Example 4

For the integral, (a) find the indicated approximation, and
(b) determine if your approximation is an under-estimate, an over-estimate, or exact.

  • TRAP(5) for 

Example 5

For the integral, (a) find the indicated approximation, and
(b) determine if your approximation is an under-estimate, an over-estimate, or exact.

  • TRAP(4) for 
Advertisement