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Re: are the commercial results continuous?
Posted:
Jul 16, 2012 1:30 PM
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On 16.07.2012 18:12, clicliclic@freenet.de wrote:
...
> Are the Maple antiderivatives
>
> Int( (2+3*x-2*x^2)/((1+x+x^2)^2*sqrt(1-x+x^2)), x)
>
> Int( (1-x+3*x^2)/((1+x+x^2)^2*sqrt(1-x+x^2)), x)
>
> discontinuous somewhere on the real axis?
>
> Martin.
I used Maple 16, they both have a jump in x=1 for the
imaginary part (while Int(..., x=0 ..2) is correct),
which seems to be constant otherwise and the real part
seems to be continous.
The results are in terms of artanh and square roots.
And some 'hidden' piecewise function: signum.
The jumps for the 1st resp the 2nd task are
+- 1/16*I*2^(1/2)*3^(1/2)*Pi
+- 1/12*I*2^(1/2)*3^(1/2)*Pi
It looks like a brunch cut "problem".
Just let me know, if you want a pdf-print of that.
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