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Session 76: Integration by Parts

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Overview

Integration by parts is useful when the integrand is the product of an “easy” function and a “hard” one. In this session we see several applications of this technique; note that we may need to apply it more than once to get the answer we need.

Lecture Video and Notes

Video Excerpts

Recitation Video

Finding u and v’ When Integrating by Parts

Lecture Video and Notes

Video Excerpts

Recitation Video

Integrating sinn(x) Using Reduction

Worked Example

Integral of x4 cos(x)

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Course Features

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