Use Simpson's Rule to numerically approximate the area bounded by the graph of

between **x = 0** and **x = 3** and the **x**-axis.

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:*, type(cos(x))^3 . - At the prompt,
*Lower x limit : -10*, type . - At the prompt,
*Upper x limit : 10*, type . - Use the arrow keys to move to
*Integral Operations*. - Use the arrow keys to move to
*Simpson's Rule*and press . - If you keep pressing then
you will eventually get the following: