Answer
$$ = {{75\,x\,\ln \left(2\,x^2+1\right)+50\,\ln \left(2\,x^2+1\right)- 150\,x\,\ln \left(3\,x+2\right)-100\,\ln \left(3\,x+2\right)-33\,2 ^{{{3}\over{2}}}\,x\,\arctan \left(\sqrt{2}\,x\right)-11\,2^{{{5 }\over{2}}}\,\arctan \left(\sqrt{2}\,x\right)+34}\over{289\,\left(3 \,x+2\right)}} $$
Explanation
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