Using the TI-85 graphing calculator, approximate the value of

using the **Trapezoidal Rule** with a partition of 100 points.

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- We enter the function on the calculator:
- Subdivide
**[1,3]**into**100**subintervals of equal length. - The length of each of these subintervals is
which is **(3 - 1))/100 = 1/50**. - We determine the endpoints of these subintervals:
**a**_{i}= 1 + i (1/50) = 1 + i/50 - We enter the left-hand endpoints on the calculator and store them in
the variable
**x**: - The calculator displays the list of left-hand endpoints:
- The calculator automatically stores the values of
**f(a**in the list_{i})**y1**. - We now take the sum of the list
**y1**, multiply by delta x, and store the answer in the variable**L**: - We enter the right-hand endpoints on the calculator and store them in
the variable
**x**: - The calculator displays the list of left-hand endpoints:
- Again, the calculator automatically stores the values of
**f(a**in the list_{i})**y1**. - We now take the sum of the list
**y1**, multiply by delta x, and store the answer in the variable**R**: - Finally, we take the average of the sums:
**1.5302437923**.