Find the partial fraction decomposition for the rational expression:
(3x^3+4x)/(x^2+1)^2
I know that you will have: A/? + B/? + C/? + D/? , but I don't know where to go from there.
Thanks!
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Find the partial fraction decomposition for the rational expression:
(3x^3+4x)/(x^2+1)^2
I know that you will have: A/? + B/? + C/? + D/? , but I don't know where to go from there.
Thanks!
$\displaystyle \frac{Ax+B}{x^2+1}+ \frac{Cx+D}{(x^2+1)^2} = \frac{3x^3+4xQuote:
Originally Posted by ss103
}{(x^2+1)^2}$
Cross multiply by $\displaystyle (x^2+1)^2$ expand and equate coefficients wrt x. That will give you a system for A, B, C and D.
Hi
The form of the decomposition is $\displaystyle \frac{Ax+B}{x^2+1} + \frac{Cx+D}{(x^2+1)^2}$
EDIT : too late !
Okay so my answer is (3x/x^2+1) + (x/(x^2+1)^2).
Is that right?
I got that too.Quote:
Originally Posted by ss103
