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


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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


Partial Fractions 2

Find a partial fraction decomposition for  LaTeX: 

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

This is example 6 from


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


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