Session 55: Creating New Functions Using the Second Fundamental Theorem

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Overview

In this session we explore different functions defined by using a variable as the upper bound of a definite integral, including the extremely useful "error function".

Lecture Video and Notes

Video Excerpts

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» Clip 1: The Bell Curve (00:09:00)

» Accompanying Notes (PDF)

From Lecture 21 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: More New Functions from Old (00:04:00)

» Accompanying Notes (PDF)

From Lecture 21 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Probability Function

 

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