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(2*Sqrt[x]*Sqrt[4 + x]*ArcSinh[Sqrt[x]/2])/Sqrt[x*(4 + x)]

Integrate[1/Sqrt[4*x + x^2], x] ==
(2*Sqrt[x]*Sqrt[4 + x]*ArcSinh[Sqrt[x]/2])/ Sqrt[x*(4 + x)] 

                1
Integrate[--------------, x] == 
                      2
          Sqrt[4 x + x ]

                              Sqrt[x]
2 Sqrt[x] Sqrt[4 + x] ArcSinh[-------]
                                 2
--------------------------------------
           Sqrt[x (4 + x)]
Time to compute: 0.02 second
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