As for plotting the solution set, I have yet to figure out how to perform a 'batch' parametric variation within Mathematica and then collect and plot the results using Mathematica. I wanted to plot the integrand, but it is a six-variable function and I simply cannot figure out how to plot it to look for pathological conditions. The imaginary component of the solution is larger than the real part! Since the models are simply volumes and since the integrand does not have any poles, the size of the imaginary component surprised me. I also played around with changing the order of integration with no changes.

I was doing a parametric model and the results of the second parameter iteration looked out of scale, so I went back to the first iteration and simply copied and pasted the Mathematica code into Excel and the culpit showed up. Sure enough, there was one term that I determined was the culprit. My use of Excel was simply to copy the code that was giving me problems into a separate applications.

Not sure which comments I am replying to, but thanks for the suggestions. Here's the question: how can you ever know whether or not during a replication of an integrand that one is not replicating some internal error in how Mathematica interprets a particular instance of an alphanumeric? I have no idea how long this error has persisted in my analyses, since I have not mastered the technique of performing parametic analyses in batch mode, though it would make no difference since the error would replicate in all parametric variations. When I also replaced the offending term with a hand-calculated value, the resulting integral also matched the rewritten integrand results. When I rewrote the term, the results were consistent with the reordered version. When I copied and pasted the two versions of the integral to an Excel spread sheet to print and expand for comparison, one term did not display correctly, though it appeared OK in Mathematica. When I did so, the results of the integral were different, though there should have been no order issues. In performing an integral, I rearranged terms to make it easier to manipulate the integrand. Finance, Statistics & Business Analysis.

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