Answer
$$ = -{{3\sqrt{3}\,\ln \left(3\,x^2+1\right)-8\,\sqrt{3}\,\ln \left(2\,x+1\right)-2\,\arctan \left(\sqrt{3}\,x\right)+2\,\sqrt{3} \,\ln \left(x-3\right)}\over{28\,\sqrt{3}}} $$
Explanation
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