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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Originally Posted by ss103 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! $\displaystyle \frac{Ax+B}{x^2+1}+ \frac{Cx+D}{(x^2+1)^2} = \frac{3x^3+4x }{(x^2+1)^2}$ 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 !
Last edited by running-gag; Mar 28th 2009 at 09:18 AM. Reason: Too late
Okay so my answer is (3x/x^2+1) + (x/(x^2+1)^2). Is that right?
Originally Posted by ss103 Okay so my answer is (3x/x^2+1) + (x/(x^2+1)^2). Is that right? I got that too.
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