Derive 6.1 does not ask for the sign of x. Its answer is
5??ASIN(??x)/64 + ??x????(1 - x)??(48??x^3 - 8??x^2 - 10??x - 15)/192
Leon
Dnia 2-04-2011 o godz. 19:11 Dieter Kaiser napisa??(a):
> Am Samstag, den 02.04.2011, 09:01 -0700 schrieb Richard Fateman:
> > Commercial Macsyma asks "is x positive or negative". If positive,
> > returns a large answer. If negative,
> > returns the expression unintegrated.
> >
> > Mathematica 7.0 does not ask for the sign of x. I do not know if its
> > answer is correct for all x.
> >
> > RJF
>
> integrate(sqrt(x^5)*sqrt(1-x),x)
>
> This type of integral is done in the routine chebyf which is called from
> the integrator. It should be possible to generalize the routine chebyf
> to handle these integrals more complete.
>
> Dieter Kaiser
>
>
>
>
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