Re: intelligent Integrate
- To: mathgroup at yoda.physics.unc.edu
- Subject: Re: intelligent Integrate
- From: withoff
- Date: Fri, 22 Jan 93 09:35:19 CST
> Subject: intelligent Integrate
> Hi MathGroup,
> The input
> Integrate[ f'[x] g[x] + f[x] g'[x],x]
> gives f[x] g[x]. I think by a rule associated with Integrate.
> Integrate[f'[x] g[x],x] + Integrate[f[x] g'[x],x]
> also produces
> f[x] g[x]. This is quite nice, but I do not understand how this
> happens by looking at the standard Mma evaluation procedure.
> Is there a hidden rule for Integrate over Plus?
> Thanks for an answer,
> Michael Trott
> trott at physik.tu-ilmenau.de
This works out because Integrate[f[x] g'[x],x] evaluates to
f[x] g[x] - Integrate[g[x] f'[x], x] and the two unevaluated
integrals cancel. There are no "hidden" rules for Integrate
over Plus. Integrate returns many partially integrated results
for exactly this reason.
withoff at wri.com
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