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-2/Sqrt[x + Log[x]]

Integrate[(1 + x)/(x*(x + Log[x])^(3/2)), x] ==
-2/Sqrt[x + Log[x]] 

                1 + x
Integrate[-----------------, x] == 
                        3/2
          x (x + Log[x])

       -2
----------------
Sqrt[x + Log[x]]
Time to compute: 0.04 second
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