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
» Clip 2: Integration by "Advanced Guessing" (00:04:00)
From Lecture 15 of 18.01 Single Variable Calculus, Fall 2006
Clip 2: Integration by "Advanced Guessing"
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» Clip 3: More Examples of Integration (00:10:00)
From Lecture 15 of 18.01 Single Variable Calculus, Fall 2006
Clip 3: More Examples of Integration
> Download from iTunes U (MP4 - 107MB)
> Download from Internet Archive (MP4 - 107MB)
Recitation Video
Antidifferentiation by Substitution
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Worked Example
Antiderivative of tan x sec2x