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

using the Trapezoidal Rule with a partition of 100 points.
Visualization:

[Press here to see animation again!]
- 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:
ai = 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(ai)
in the list 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(ai) in the list 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:
to get the answer 1.5302437923.