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Sqrt[5 + x*(2 + x)] - ArcSinh[(1 + x)/2]

Integrate[x/Sqrt[5 + 2*x + x^2], x] ==
Sqrt[5 + x*(2 + x)] - ArcSinh[(1 + x)/2] 

                  x
Integrate[------------------, x] == 
                          2
          Sqrt[5 + 2 x + x ]

                              1 + x
Sqrt[5 + x (2 + x)] - ArcSinh[-----]
                                2
Time to compute: 0.02 second
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