Definite Integrals
The graph of the function is shown above. What is the value of
Steve knows that if he uses right-hand endpoints with 2 subintervals to find a Riemann sum approximation of his approximation will be the sum of the areas of the 2 rectangles shown. Assuming all his work is correct, what will his approximation be?
Morgan and Pat use right-hand endpoints to find Riemann sum approximations of
If Morgan uses 2 subintervals, and Pat uses 4 subintervals, whose approximation is closer to the true value of the integral?
Ferb knows that and is interested in how close a right-hand Reimann sum approximation to the integral can be.
Based on his work so far, if Ferb uses 32 subintervals, what will his approximation be?
| Number of subintervals | Approximation | Error |
| 1 | 64 | 32 |
| 2 | 48 | 16 |
| 4 | 40 | 8 |
| 8 | 36 | 4 |
| 16 | 34 | 2 |
| 32 | ?? |
Which of the following is true of and