What is the integral of 1/(x^3 + bx - c) with respect to x?(adsbygoogle = window.adsbygoogle || []).push({});

This is part of a larger problem I am working on, but finding the integral has proved a sticking point. I have simplified it as much as possible.

P.S. The larger problem is finding J(r) in this PF post https://www.physicsforums.com/showpost.php?p=4397770&postcount=5

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# Integral of 1/(x^3 + bx - c) dx

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