This is a formula to obtain the Geometric Mean Distance of a rectangle (as area) with sides a (base) and b (height).

I've not changed the assumptions, I've separated them in an attempt to make the Math 7.0 algorithm better understand what I want to do.

I know that the inequalities are not fulfilled in the entire integration range but with Math 5.2 work properly.

Do you know if that has been changed in Math 5.2?

Anyway, thank you very much for your interest in answering my post.

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int = Integrate[1/(x^3 - 1), x];
Map[Framed, int, Infinity]

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