My mistake.
Derive 6.1 does not ask for the sign of x. Its correct answer is
5*asin(sqrt(x))/64 + sqrt(x)*sqrt(1 - x)*(48*x^3 - 8*x^2 - 10*x - 15)/192
Leon
Dnia 2-04-2011 o godz. 20:23 leon.magiera at wp.pl napisa?(a):
> 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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>
>
>
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