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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
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