Expression ordering in `Integrate[x/(x^3-1), x]` (with StandardForm and OuputForm)

[rocky]

Description

In InputForm, StandardForm and OutputForm, the -Log[x]/6 term appears after the ArcTan/Sqrt term

How to Reproduce and Output Given

In[1]:= Integrate[x/(x^3-1), x] // InputForm
Out[1]//InputForm= -Log[1 + x + x ^ 2] / 6 + Log[-1 + x] / 3 + Sqrt[3] ArcTan[Sqrt[3] (1 + 2 x) / 3] / 3

Expected behavior

In[1]:= Integrate[x/(x^3-1), x] //InputForm
Out[1]//InputForm= ArcTan[(1 + 2*x)/Sqrt[3]]/Sqrt[3] + Log[1 - x]/3 - Log[1 + x + x^2]/6

Additional context

Noticed in watching an old Mathematica video