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(2*(6*ArcTanh[Sqrt[1 + x]] + Sqrt[1 + x]*(-2*(4 + x) + 3*(1 + x)*Log[x])))/9

Integrate[Sqrt[1 + x]*Log[x], x] ==
(2*(6*ArcTanh[Sqrt[1 + x]] + Sqrt[1 + x]* (-2*(4 + x) + 3*(1 + x)*Log[x])))/9 

Integrate[Sqrt[1 + x] Log[x], x] == 

(2 (6 ArcTanh[Sqrt[1 + x]] + 
 
      Sqrt[1 + x] (-2 (4 + x) + 3 (1 + x) Log[x]))) / 
 
  9
Time to compute: 0.06 second
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