Answer
$$ = -{{171\sqrt{3}\,x\,\ln \left(3\,x^2+1\right)-38\,3^{{{3 }\over{2}}}\,\ln \left(3\,x^2+1\right)-342\sqrt{3}\,x\, \ln \left(3\,x-2\right)+228\sqrt{3}\,\ln \left(3\,x-2 \right)+306\,x\,\arctan \left(\sqrt{3}\,x\right)-204\,\arctan \left( \sqrt{3}\,x\right)-224\,\sqrt{3}}\over{882\sqrt{3}\,\left( 3\,x-2\right)}} $$
Explanation
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