Use Riemann sums to approximate the area bounded by the graph of

the lines x = -2 and x = 3 and the x-axis. Use *N* left-hand endpoints for
*N = 10* and *50*.

Using Microcalc:

- Choose
*Beginning Calculus*from the initial menu and press . - Use the arrow keys to move to the menu item
*Riemann Sums*, press and . - At the prompt
*F(x) =*, enter the formulax^3-5x+7 - Enter the bounds at the prompts
*x_0 =*-2*x_1 =*3

- Using the arrow keys, move to
*F(Left Endpoint)*and press - (*) At the prompt for the number of subdivisions,
*N =*, enter 10 - You will see the the graph of the function and the approximating rectangles:
- Hitting , you will see the calculations up to that point.
- Hit
,
again and use the arrow keys to move to
*Change N Only*and press . - Return to (*) and enter N = 50 and proceed
as above to get the following.
- You will see the following table at some point: