Answer
$$ = {{9\,\sqrt{15}\,\ln \left(3\,x^2-3\,x+2\right)-17\,\sqrt{15}\, \ln \left(3\,x-2\right)-30\,\arctan \left({{3\,\left(2\,x-1\right) }\over{\sqrt{15}}}\right)-9\,\sqrt{15}\,\ln \left(x-2\right)}\over{ 36\,\sqrt{15}}} $$
Explanation
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