Re: Integral?

*To*: mathgroup at smc.vnet.net*Subject*: [mg14148] Re: [mg14112] Integral?*From*: "Jens-Peer Kuska" <kuska at linmpi.mpg.de>*Date*: Mon, 28 Sep 1998 18:57:14 -0400*Sender*: owner-wri-mathgroup at wolfram.com

Hi, if You put the nested Integrate[] in one with Integrate[Exp[x]*Exp[y]*p[x,y],{x,-Infinity,Infinity},{y,-Infinity,Infinity} ] You get some messages and nice conditions for r and s but the If[] expression returns a result. Hope that helps Jens -----Original Message----- From: Torben Mikael Hansen <torhans at image.dk> To: mathgroup at smc.vnet.net Subject: [mg14148] [mg14112] Integral? >Hi >How do I make Mathematica perform the double integral >Integrate[Integrate[Exp[x]*Exp[y]*p[x,y],{x,-Infinity,Infinity}],{y,-Infini ty,Infinity}] > >where >p[x_,y_]:=1/(2 Pi s^2 Sqrt[1-r^2])*Exp[-(x^2-2 r s x y +y^2)/(2 s^2 >(1-r^2))] >and I know >r is a real, positive number less than 1 s is a real, positive number > >Another system gives >Exp[(r+1) s^2] > >Regards >Torben M. Hansen > > >