Distribution and Integral
- To: mathgroup at smc.vnet.net
- Subject: [mg59820] Distribution and Integral
- From: ms_usenet at gmx.de
- Date: Tue, 23 Aug 2005 04:51:14 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hello,
to apply further rules on simpler integrals (rules for the integration
by parts), I would like to distribute the integral over its summands.
This works if it is an integral alone, but doesn't if there is a factor
(because the head is Integrate in the first, and Times in the latter
case?):
\!\(Distribute[
t \(\[Integral]\_x1\%x2\((f[x] +
g[x])\) \[DifferentialD]x\)]\[IndentingNewLine]
Distribute[\[Integral]\_x1\%x2\((f[x] + g[x])\) \[DifferentialD]x]\)
Out[695]=
\!\(t\ \(\[Integral]\_x1\%x2\((f[x] + g[x])\) \[DifferentialD]x\)\)
Out[696]=
\!\(\[Integral]\_x1\%x2 f[x] \[DifferentialD]x + \[Integral]\_x1\%x2 g[
x] \[DifferentialD]x\)
How could I get the distribution in the latter case? Because f and g
can have variable structure, I haven't found a simple rule with
patterns. A hint to simplify the original problem, integration by
parts, would be appreciated too!
Best Regards,
Martin