using the Simpson's Rule with a partition of 150 points.

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1. We enter the function on the calculator:
   

2. Subdivide [-1, 1] into 150 subintervals of equal length.
3. The length of each of these subintervals is which is (1 - (-1))/150 = 1/75.
4. We determine the endpoints of these subintervals:
   a_i = -1 + i (1/75) = -1 + i/75

5. We enter the left-hand endpoints on the calculator and store them in the variable x:
   

6. The calculator displays the list of left-hand endpoints:
   

7. The calculator automatically stores the values of f(x_i) in the list y1.
8. We now take the sum of the list y1, multiply by Dx, and store the answer in the variable L:
   

9. We enter the right-hand endpoints on the calculator and store them in the variable x:
   

10. The calculator displays the list of left-hand endpoints:
    

11. Again, the calculator automatically stores the values of f(x_i) in the list y1.
12. We now take the sum of the list y1, multiply by Dx, and store the answer in the variable R:
    

13. We take the average of the sum of the left-hand approximation and the right-hand approximation to get the Trapezoidal Rule and we store this in T:
    (L+R)/2->T
    and get the answer 1.56989143142.
14. We enter the midpoints on the calculator and store them in the variable x:
    

15. The calculator displays the list of midpoints:
    

16. Again, the calculator automatically stores the values of f(x_i) in the list y1.
17. We now take the sum of the list y1, multiply by Dx, and store the answer in the variable M:
    
    and get the midpoint approximation: 1.57106123569.
18. To get Simpson's Rule, we take the weighted average:
    (T+2*M)/3
    which gives the answer: 1.57067129882.

    The correct answer is p/2 = 1.57079... .