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 Integral (from the University of Arizona):

- After starting up the program, you are prompted
*"Would you like some instructions?"*Use the arrow keys to move to either*Yes*or*No*and then press . - If you choose
*Yes*then read the instructions and press when you are ready to proceed. - Use the arrow keys to highlight
*Create Integrals*and press . - Use the arrow keys to highlight
*Create Integral*and press . - At the prompt,
*Enter integrand :*, typex^3-5*x+7 . - At the prompt,
*Lower x limit : -10*, type -2 . - At the prompt,
*Upper x limit : 10*, type 3 . - Use the arrow keys to move to
*Plot Integrand (Rectangle)*and press . - At the prompt,
*Minimum y : -10*, type 0 . - At the prompt,
*Maximum y : 10*, type 20 . - You will now see the graph of the function. Press uppercase
several times until
*n = 10*. Note that the value of*n*is at the upper left-hand side of the screen. - Now press to choose
*left-hand endpoints*: - Press to clear the graph.
- Again press uppercase
several times until
*n = 50*. - Finally, press to choose
*left-hand endpoints*.