18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Partial Fractions, Integration by Parts, Arc Length, and Surface Area

Session 75: Advanced Partial Fractions

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Overview

Last session we learned to use partial fractions to integrate rational functions for which the degree of the numerator was less than the degree of the denominator, and where the denominator had particularly nice factors. In this session we learn how to use partial fractions under more adverse conditions.

Lecture Video and Notes

Video Excerpts

Clip 1: Repeated Factors

Clip 2: Quadratic Factors

Worked Example

Integral of (x-11)/(x2+9)(x+2)

Lecture Video and Notes

Video Excerpts

Clip 1: Long Division

Worked Example

Integral of x3/x2-1

Recitation Video

Partial Fractions Decomposition

Lecture Video and Notes

Video Excerpts

Clip 1: Partial Fractions – Big Example

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Course Info

Instructor
Departments
As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Simulations
Recitation Videos