Use the Midpoint Rule to approximate

with *N* rectangles where *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^2+1 - Enter the bounds at the prompts
*x_0 =*0*x_1 =*2

- Using the arrow keys, move to
*F(Midpoint)*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.
You will see the following table at some point: