![]() ![]() The function itself isn’t known, but the integral can still be approximated using the Trapezoidal Rule. This time, all that is given is a table of values. Also, compare the trapezoidal rule to the rectangular approximation. Try doing this example with eight partitions to see if the approximation gets better. ![]() Notice that your answer is very close to the actual value of ln 3.Find a common denominator and add the fractions together.Plug these values into the trapezoidal rule. Then find their corresponding f (x)-values. Start by finding what the x-values are at the partitions. If you wanted an even more precise approximation, you could increase the number of rectangles used in the approximation.Here, the interval is divided into 4 regions. ![]() If you use this rule, your approximation will be better than those of the other people stranded on the island.
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