Question: Difficult Integral, Expansion in Two Variables, Numerical Integration

I was trying to evaluate a difficult integral on maple analiticaly but after about 5 minutes its output is the integral itself. Something like a=a; is it timing out? How can I change this to let it run for a longer period of time? Also I doubt that there is an analytic solution, so I tried to do a numerical computation, with the assumption that (a>0), and it gave the following output:

 

 

Also the original expression that Im trying to integrate is a function in two variables Z=Z(x,y); how can I expand this function as a polynomial series  consisting of powers of x, and y ? (I seem to only be allowed to choose to either expand it in terms of x, or y.

 

Thanks

 

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