Approximate Integration: Example 2: Accuracy

In this video I go over another example on approximate integration and this time use the error bound formulas for the Trapezoidal and Midpoint Rule approximation methods to select the number of intervals needed in the approximations for the integral of the function 1/x from x = 1 to x = 2 to guarantee that the accuracy or error is within 0.0001. This a very useful video in understanding how to use the error bound estimate to make accuracy predictions so make sure to watch this video! And like often is the case the Midpoint Rule needs less intervals in the approximation than the Trapezoidal Rule to maintain the same level of accuracy.

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Related Videos:

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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