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(Log[Sqrt[a]*x] - Log[2*a + b*x + 2*Sqrt[a]*Sqrt[a + x*(b + c*x)]])/Sqrt[a]

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

                    1
Integrate[----------------------, x] == 
                              2
          x Sqrt[a + b x + c x ]

(Log[Sqrt[a] x] - Log[2 a + b x + 
 
      2 Sqrt[a] Sqrt[a + x (b + c x)]]) / Sqrt[a]
Time to compute: 0.09 second
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