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(-4 + x^2 + 4*Log[2 + x])/2

Integrate[(2 + 2*x + x^2)/(2 + x), x] ==
(-4 + x^2 + 4*Log[2 + x])/2 

                     2
          2 + 2 x + x
Integrate[------------, x] == 
             2 + x

      2
-4 + x  + 4 Log[2 + x]
----------------------
          2
Time to compute: < 0.01 second
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