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Approximate Integration: Example 2: Accuracy

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First published at 10:46 UTC on July 18th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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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.

Download the notes in my video: http://1drv.ms/1VAbxlt

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/approximate-integration-example-2-accuracy

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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