Partial fractions will be used both when performing integrals requiring partial fractions and in chapter 6 when we cover LaPlace transforms.

 

Note both viewing and contributing to this page is completely optional, but I have found student created videos have been very helpful for improving student understanding.  Thus I recommend choosing one topic (and only one), create a video covering this topic, and post your video and notes including a sample quiz question in the 2nd column next to your topic.  You may select a topic by typing "I will do this video" in the 2nd column.  However, once you select a topic, please post your video within 3 days.  

If you have any comments regarding your video or any other videos (especially if you note mistakes -- typos will happen), please post in the comments row under the relevant topic.

While I recommend creating videos and viewing other students' videos,  this is completely optional.

 

Partial Fraction Outline + Comments from students regarding posted material Please posted videos and other material in this column

Partial Fractions 1

Use partial fractions to "simplify" LaTeX: \frac{5x - 4}{x^2 - x - 2} 

I put simplify in quotes since what is considered simplified depends on the application. 

Note this example is worked out at https://www.mathsisfun.com/algebra/partial-fractions.html

Comments: 

Partial Fractions 2

Find a partial fraction decomposition for  LaTeX: 


\large{\frac{1}{{x{{\left( {2x + 1} \right)}^2}}}} 

This is example 6 from https://math24.net/partial-fraction-decomposition.html#example6

Comments: 

Partial Fractions 3

Find a partial fraction decomposition for  LaTeX: \large{\frac{x^2 + 15}{{(x+3)^2{{\left( {x^2 + 3} \right)}}}}}  

This is the last example from https://www.mathsisfun.com/algebra/partial-fractions.html

Comments: 

Partial Fractions 4

Find a partial fraction decomposition for LaTeX: {\large{\frac{{16}}{{\left( {{x^2} + x + 2} \right){{\left( {x – 1} \right)}^2}}}}}\normalsize 

This is example 10 from https://math24.net/partial-fraction-decomposition-page-2.html#example10

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