Solving double integral without Error function

• To: mathgroup at smc.vnet.net
• Subject: [mg57683] Solving double integral without Error function
• From: "Xavier Brusset" <brusset at poms.ucl.ac.be>
• Date: Sat, 4 Jun 2005 03:04:30 -0400 (EDT)
• Organization: Universite Catholique de Louvain
• Sender: owner-wri-mathgroup at wolfram.com

```Hi,

I have to solve this double integral:
Phi[ q_ ]=Integrate[Integrate[y(x-q)f[x,y],{x,0,q}],{y,2,15}]
where
f[ x_ , y_ ]=1/(2 Pi Sqrt[27])Exp{-1/54 [4 x^2 - 6yx - 50x + 9y^2 -30 y +
325]}

Mathematica 5.1 on windows fumbles a lot and finally stops giving an answer
in q but using the Error function (I am using the Statistics Continuous
distributions module).
The problem with the Error function is that when I combine this function Phi
into another equation, I can't find a root in q.
Which function of Mathematica should I use which circumvents the Error
function in solving the double integral?
Or, alternately, which root finding function could I use to find even a
numeric instance of q?

Thank you.
To send a mail take the _ and * out.
--
Xavier
brusset_*_*_*@_*_*_  poms.ucl.ac.be
PhD student
Université Catholique de Louvain
Belgium

```

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