well the thing is that it should be computed from thousands to millions times. so matematica isn't the solution i hoped for.
ok guys thank you for help
best regards
I need analitical solution for that integral. Not just numerical evaluation of that integral. I got some solutions. But the thing is that those solutions are absolutely impractical for numerical computation.
ok, let me restate a problem a bit:
\int...\intexp(\sum_{i,j,k}A_{i,j,k}x_{i}x_{j}x_{k})dx_{i}dx_{j}dx_{k}
what whould be the solution to above definite integral?
solution is not required to be exact.
i would be appreciated for any hints for solution.
i went through a few already but...
so the question is how to solve the next:
∫...∫exp(-(a+b*x1+c*x1*x4+d*x3*x4+f*x2*x3*x4)^2)dx1dx2dx3dx4
a,b,c,d,f - real constants;
x1,x2,x3,x4 - real variables;
borders of integration are finite, let say for x1 it is [x1a,x1b] and so on for the rest of them;
i'v tried to solve it in...