Partial fraction

  • Thread starter tnutty
  • Start date
  • #1
327
1

Homework Statement


x^3+1 / x^2+4


Homework Equations




The Attempt at a Solution



after using long division i get : x + -(4x-1) / (x^2+4)

then using partial fraction :

-4x-1 / x^2+4 = bx+c / x^2+4

then i am stuck because if what i have
is correct then they both are the same and in the same form.
 

Answers and Replies

  • #2
gabbagabbahey
Homework Helper
Gold Member
5,002
7
-4x-1 / x^2+4 = bx+c / x^2+4

then i am stuck because if what i have
is correct then they both are the same and in the same form.

[tex]-\frac{4x-1}{x^2+4}=\frac{1}{x^2+4}-\frac{4x}{x^2+4}[/tex].....:wink:
 
  • #3
Dick
Science Advisor
Homework Helper
26,263
619
Once you gotten to (-4x-1)/(x^2+4) you probably want to leave the partial fractions trail. Split it into -4x/(x^2+4) and -1/(x^2+4). The first one is a simple substitution. I'm going to guess the second one might be something related to arctan(x)? Try a trig substitution.
 

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