Topic 13.1: Trapezoidal Rule

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The trapezoidal rule gives us a crude technique to approximate the integral on a given interval [a, b]. This technique reduces to finding the area of the trapezoid shown in Figure 1.

Figure 1. The trapezoidal rule applied to integrating on the interval [0, 1].

One problem with this technique is that we cannot iterate it to find a better answer. In other topics, we will look at other ways of finding better approximations to the integral using modifications of this technique.


Useful background for this topic includes:


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