Question: Using Maple to do difficult integrals...

Hi all, I am just playing around with Maple, with curiosity, to see how smart it is and how much can I rely on it for work... Here is a probably difficult integral, I couldn't get Maple to do it: assume(b>0, T>0, a>0, w>0); int(exp(-b*sqrt(w))/sqrt(a^2+w^2), w = T .. infinity); Is there a way to get it work? I tried a few numerical values, this integral should converge... right?
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