Re: A beginer's simple question about Mathematica...
- To: mathgroup at smc.vnet.net
- Subject: [mg63595] Re: A beginer's simple question about Mathematica...
- From: Paul Abbott <paul at physics.uwa.edu.au>
- Date: Fri, 6 Jan 2006 05:24:45 -0500 (EST)
- Organization: The University of Western Australia
- References: <dpg11e$pm4$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
In article <dpg11e$pm4$1 at smc.vnet.net>, leelsuc at yahoo.com wrote:
> I try to run
>
> Integrate[x*Exp[-((x-2*a)^2/(8*a)+(y-b)^2/(2*b)+(z*x-y-c)^2/(2*c))],{x,-\[infi
> nity],0},{y,-\[infinity],+\[infinity]}]
Try computing the following integral instead,
Assuming[a > 0 && b > 0 && c > 0 && z > -1/2,
Integrate[x/E^((x-2 a)^2/(8 a)+(-c-y+x z)^2/(2 c) + (y-b)^2/(2 b)),
{x, -Infinity, 0}, {y, -Infinity, Infinity}]]
where I have added some reasonable assumptions about the parameters.
Cheers,
Paul
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