In this video I go over a very useful application on using Simpson's Rule to approximate a function that has no actual function given. Instead in this example, only a chart is given of the total megabits of data transferred from the United States to the Swiss academic and research network, SWITCH, on February 10, 1998. Since the chart contains data that is smooth without random bumps in the data, we can apply the Simpson's Rule by simply estimating data points for the summation. Also in this video I discuss a bit about the difference between megabits and megabytes so make sure to watch this video!
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I don't always approximate integrals using the Simpson's Rule but when I'm usually just given a chart of data instead of the actual function ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/approximate-integration-example-5-simpson-s-rule-application