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-2*x + 2*Sqrt[2/3]*ArcTan[Sqrt[3/2]*x] + x*Log[2 + 3*x^2]

Integrate[Log[2 + 3*x^2], x] ==
-2*x + 2*Sqrt[2/3]*ArcTan[Sqrt[3/2]*x] + x*Log[2 + 3*x^2] 

                     2
Integrate[Log[2 + 3 x ], x] == 

              2              3                    2
-2 x + 2 Sqrt[-] ArcTan[Sqrt[-] x] + x Log[2 + 3 x ]
              3              2
Time to compute: 0.03 second
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