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Session 38: Integration by Substitution

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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

Recitation Video

Antidifferentiation by Substitution

Worked Example

Antiderivative of tan x sec2x

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Course Features

grading Exams - Solutions
grading Exams - Solutions
laptop_windows Interactive simulations - Applet
laptop_windows Interactive simulations - Applet