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Log[b + 2*c*x + 2*Sqrt[c]*Sqrt[a + b*x + c*x^2]]/Sqrt[c]

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

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

                                            2
Log[b + 2 c x + 2 Sqrt[c] Sqrt[a + b x + c x ]]
-----------------------------------------------
                    Sqrt[c]
Time to compute: 0.07 second
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