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I have tried to solve this integral:

Integrate[E^(-((a^2 b c^2)/(a^2 + b)))/(a^2 + b)^2,a]

Mathemathica is not able to solve it, I have tried the integration by parts and it did not work, as well as some substitutions. Any idea how to tackle this problem?

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Have you tried the substitution $a^2\mapsto x$? –  Eckhard Feb 1 '14 at 18:36
Yes, I have tried. To my knowledge, it did not work. –  david1983 Feb 1 '14 at 22:21

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