Answer
$$ = -{{372\sqrt{3}\,x\,\ln \left(x^2+3\right)-62\,3^{{{3 }\over{2}}}\,\ln \left(x^2+3\right)+270\sqrt{3}\,x\,\ln \left(2\,x-1\right)-135\sqrt{3}\,\ln \left(2\,x-1\right)+ 320\,x\,\arctan \left({{x}\over{\sqrt{3}}}\right)-160\,\arctan \left({{x}\over{\sqrt{3}}}\right)-221\,\sqrt{3}}\over{676\,\sqrt{3} \,\left(2\,x-1\right)}} $$
Explanation
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