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Simpson's Rule Approximation: Error Bound Proof

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First published at 04:33 UTC on June 23rd, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over an incredibly long video proving the Error Bound formula for the Simpson's Rule Integration Approximation method. This is a very long and tedious proof which explains why you won't find this proof in any calculus textbook. But here at Math Easy Solutions we don't shy away from any mathematical concept, regardless of how challenging it may be. If you have the time to watch the entire one hour and 45 minute video, it will make you truly appreciate some of the great lengths that the pioneers in mathematics have taken in deriving and simplifying formulas which we often take for granted.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhqJXI9Ugs0GEe8855Q

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/simpson-s-rule-approimation-error-bound-proof

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 .