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mikeyork
08/17/12 1:41pm

I have a definite integral (-infinity to +infinity along the real axis) of a rational function with real constant coefficients. Both numerator and denominator are already reduced to linear or irreducible quadratic factors. As I understand it, the integration can always be done by partial fraction decomposition and results in a rational function of the constant coefficients plus possible log and arctan terms.

However, despite every trick I have tried, including assumptions that every constant is real and positive, Mathematica will not complete the job. I am using Mathematica 7 Home Edition.

Here is the function I am trying to integrate over z1:

(4 (A + B z1^2) (A +
B (z1 \[Theta]3 + z Sqrt[1 + \[Theta]3^2])^2))/(\[Pi]^2 (C +
D z1^2)^3 (C + D (z1 \[Theta]3 + z Sqrt[1 + \[Theta]3^2])^2)^3)

Can anyone help?

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Subject (listing for 'Integrating a rational function')
Author Date Posted
Integrating a rational function mikeyork 08/17/12 1:41pm
Re: Integrating a rational function mikeyork 08/17/12 2:31pm
Re: Integrating a rational function Nasser M. Ab... 08/17/12 5:29pm
Re: Integrating a rational function Bill Simpson 08/17/12 9:39pm
Re: Re: Integrating a rational function mikeyork 08/18/12 8:54pm
Re: Re: Re: Integrating a rational function Nasser M. Ab... 08/19/12 6:14pm
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