Session 38: Integration by Substitution

OCW Scholar

« Previous | Next »

 

Overview

When asked to find the antiderivative of an expression involving familiar functions, we often have an idea of what the answer might be. We can then check and correct our guess by taking the derivative. This "advanced guessing" is related to the technique called "substitution", in which we attempt to simplify the integrand as a step toward finding the derivative.

Lecture Video and Notes

Video Excerpts

Flash and JavaScript are required for this feature.

» Clip 1: Substitution (00:05:00)

» Accompanying Notes (PDF)

From Lecture 15 of 18.01 Single Variable Calculus, Fall 2006

Flash and JavaScript are required for this feature.

» Clip 2: Integration by "Advanced Guessing" (00:04:00)

» Accompanying Notes (PDF)

From Lecture 15 of 18.01 Single Variable Calculus, Fall 2006

Flash and JavaScript are required for this feature.

» Clip 3: More Examples of Integration (00:10:00)

» Accompanying Notes (PDF)

From Lecture 15 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Antidifferentiation by Substitution

Flash and JavaScript are required for this feature.

Worked Example

 

Antiderivative of tan x sec2x

 

« Previous | Next »