On Monday 02 June 2008 00:30, Robert Marik wrote:
> Hello all, Maxima fails to evaluate integral of 1/(x^4+3*x^2+1) .
> However, I think that this integral is quite simple (partial fractions
> and two arctangent). Whats wrong?
>
> Maxima is not able to factor the denominator. Is this point the source
> of the problem? (btw: factor_with_solve factors the expression in the
> field of complex numbers and maxima evaluates integral after this
> factorization).
>
> Should this be reported as bug?
It's a bug, I think it's better to submit it to the SF tracker.
BTW Maxima is able to factor x^4+3*x^2+1. To factor a polynomial over the
Gaussian integers, use "gfactor" instead of "factor":
gfactor(x^4+3*x^2+1) => (x^2-%i*x+1)*(x^2+%i*x+1)
itegrate doesn't handle 1/(x^4+3*x^2+1), but it does handle
1/gfactor(x^4+3*x^2+1).
--
Alexey Beshenov <al at beshenov.ru>
http://beshenov.ru/
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