On Apr 15, 8:03 am, Laurent <[email protected]> wrote:
> Le 15/04/2011 02:39, Michael Orlitzky a crit :> Am I going crazy?
>
> >    sage: integrate(cos(2*x)*cos(x), x, 0, pi)
> >    4/3
>
> Actually Sage seems not to get the correct primitive :
>
> ----------------------------------------------------------------------
> | Sage Version 4.6.1, Release Date: 2011-01-11                       |
> | Type notebook() for the GUI, and license() for information.        |
> ----------------------------------------------------------------------
> sage: f(x)=cos(2*x)*cos(x)
> sage: F=f.integrate(x)
> sage: F.diff(x).simplify_trig()
> x |--> 2*sin(x)*cos(x)^2
>
> Anyway, computation by hand shows that a primitive of cos(2x)cos(x) is
> (-2/3)*sin(x)^3+sin(x)
>
> The correct answer is thus zero and sage is wrong.

As pointed out above, the latest alphas have Maxima 5.23.2, so this is
not a problem any more.

- kcrisman

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