Session 64: Numerical Integration, Continued

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Overview

This session shows that Simpson's rule is superior to the trapezoidal rule for a sample integral of 1/x. After that, Professor Jerison shares hints for remembering the two rules.

Lecture Video and Notes

Video Excerpts

» Clip 1: Integral of 1/x, Trapezoids (00:06:00)

» Accompanying Notes (PDF)

From Lecture 25 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Integral of 1/x, Simpson's rule (00:05:00)

» Accompanying Notes (PDF)

From Lecture 25 of 18.01 Single Variable Calculus, Fall 2006

» Clip 3: Numerical Integration Study Tips (00:02:00)

» Accompanying Notes (PDF)

From Lecture 25 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

The Basis for Simpson’s Rule

 

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