Session 63: Numerical Integration

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Overview

Sometimes it's not practical to find the value of a definite integral by using an antiderivative. This session presents three different numerical methods of approximating the value of a definite integral.

Lecture Video and Notes

Video Excerpts

» Clip 1: Introduction to Numerical Integration (00:02:00)

» Accompanying Notes (PDF)

From Lecture 24 of 18.01 Single Variable Calculus, Fall 2006

» Clip 2: Riemann Sums (00:03:00)

» Accompanying Notes (PDF)

From Lecture 24 of 18.01 Single Variable Calculus, Fall 2006

» Clip 3: Trapezoidal Rule (00:05:00)

» Accompanying Notes (PDF)

From Lecture 24 of 18.01 Single Variable Calculus, Fall 2006

» Clip 4: Simpson's Rule (00:07:00)

» Accompanying Notes (PDF)

From Lecture 24 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Explanation of Simpson's Rule

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> Download English-US transcript (PDF)

> Download English-US caption (SRT)

Using the Trapezoid and Simpson’s Rules

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> Download from Internet Archive (MP4 - 17MB)

> Download English-US transcript (PDF)

> Download English-US caption (SRT)

Worked Example

 

Numerical Integration

Please use the mathlet below to complete this problem.

Mathlet

 

Riemann Sums

 

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