is this integration possible with mathematica?

*Subject*: [mg3071] is this integration possible with mathematica?*From*: md88-msa at nada.kth.se (Mickael Salabasis)*Date*: 30 Jan 1996 04:41:08 -0600*Approved*: usenet@wri.com*Distribution*: local*Newsgroups*: wri.mathgroup*Organization*: Wolfram Research, Inc.*Sender*: daemon 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 -- ********************************************************* ********** if you cannot dazzle them with brilliance **** baffle them with bullshit *