Answer
$$ = {{138\,x\,\ln \left(x^2+2\right)+207\,\ln \left(x^2+2\right)-276 \,x\,\ln \left(2\,x+3\right)-414\,\ln \left(2\,x+3\right)-156\sqrt{2}\,x\,\arctan \left({{x}\over{\sqrt{2}}}\right)-117\,2 ^{{{3}\over{2}}}\,\arctan \left({{x}\over{\sqrt{2}}}\right)-476 }\over{578\,\left(2\,x+3\right)}} $$
Explanation
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