Approximate Integration: Example 4: Simpson's Rule

In this video I go over another example on approximate integration and this time use the Simpson's Rule to approximate the integral of the function 1/x from x = 1 to x = 2. This was the same function that in my earlier video I approximated using the Trapezoidal and Midpoint Rules. In this video I show that the Simpson's Rule is much more accurate then either of the other two approximation methods. Not only that but it turns out the Simpson's Rule is a weight average of the Trapezoidal and Midpoint Rules. I will proof this fact in my next video so stay tuned for that!

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Related Videos:

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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