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Answer
$$ = {{41\,\sqrt{3}\,x\,\ln \left(3\,x^2+3\,x+1\right)+82\,\sqrt{3}\, \ln \left(3\,x^2+3\,x+1\right)-290\,x\,\arctan \left(\sqrt{3}\, \left(2\,x+1\right)\right)-580\,\arctan \left(\sqrt{3}\,\left(2\,x+1 \right)\right)-82\,\sqrt{3}\,x\,\ln \left(x+2\right)-164\,\sqrt{3} \,\ln \left(x+2\right)+42\sqrt{3}}\over{98\,\sqrt{3}\, \left(x+2\right)}} $$
Explanation
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