Simpson's Rule Approximation: Error Bound Proof

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.

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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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