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Math Help - a tough definite integral

  1. #1
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    a tough definite integral

    Well, it doesn't look like the indefinite integral has a closed form. I don't know how to do it with residue integration because it doesn't look like it has any poles (the integral should be 2*pi*i times the sum of the residues of all poles having positive imaginary components), but maybe someone has some ideas. I want:

    integral from -infinity to +infinity of: exp(-C1*exp(-2*x)-C2*x^2) dx

    As a function of C1 and C2. exp(y) is e to the y. If only there was only one parameter, of course, say C1, I could just solve it numerically for C1=1 and use a change of variables to find it as a function of variable C1 but alas there is C1 and C2. If anyone has any ideas that would be great.
    Last edited by zortharg; May 31st 2011 at 09:58 AM. Reason: \int isn't displaying as integral symbol nor is \infty displaying as infinity symbol
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  2. #2
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    Never mind, I don't need this any more.
    Last edited by zortharg; June 5th 2011 at 04:55 PM.
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