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is this integration possible with mathematica?

• To: mathgroup at smc.vnet.net
• Subject: [mg3071] is this integration possible with mathematica?
• From: md88-msa at nada.kth.se (Mickael Salabasis)
• Date: Tue, 30 Jan 1996 02:24:22 -0500
• Sender: owner-wri-mathgroup at wri.com

i have encountered a problem in statistics that i cannot seem
to solve without help.

i have a line separating the xy-plane. the line is given by the
following equation:

f(x,y) : f1(x,y)/f2(x,y) = 1

where 
f1(x,y) = exp[-k* ((x-m11)^2 + (y-m12)^2)] + exp[-k*((x-m21)^2 + (y-m22)^2)]
f2(x,y) = exp[-k* ((x-m31)^2 + (y-m32)^2)] + exp[-k*((x-m41)^2 + (y-m42)^2)]
the m's and k are known constants

now i want to calculate the (double) integral of f1 in the area ABOVE the
line defined by f and respectively the integral of f2 for the area BELOWE 
the same line. but i have problems with one of the integrals limits as the
function f cannot be manipulated to give an expression of the type y=h(x)...

can it be done and if so how?
any help appreciated preferrably by email

with best regards

majk


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