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Approximate Integration: Example 5: Simpson's Rule Application

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First published at 08:34 UTC on July 9th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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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!

Download the notes in my video:

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/approximate-integration-example-5-simpson-s-rule-application

PDF Notes: http://1drv.ms/1Lq0KqR
Excel Notes: http://1drv.ms/1CNJjfY

Related Videos:

Relating Simpson's Rule with Trapezoidal and Midpoint Rules: https://youtu.be/lX2UYAm7A90

Approximate Integration: Example 4: Simpson's Rule: https://youtu.be/7xpdZnT6IWU
Approximate Integration: Simpson's Rule: Proof: https://youtu.be/aDvSpOHQoLU
Approximate Integration: Midpoint Rule Error Bound: Proof: http://youtu.be/aKUFHXNeW7Y
Approximate Integration: Example 1: 1/x: http://youtu.be/DTzZ1jz6OOg
Approximate Integration: Accuracy and Error Bounds: http://youtu.be/WTdNktL_1Uc
Approximate Integration: Trapezoidal Rule Error Bound: Proof: http://youtu.be/_mrSHIin7Mw
Integration by Parts: Integration Constants: http://youtu.be/jJ-RJTNMy4s
Evaluating Integrals - Midpoint vs Right Endpoint Approximations Comparison: http://youtu.be/3x3sF7P9xfY .

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