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(2*(Sqrt[b + a*x] - Log[1 + Sqrt[b + a*x]]))/a

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

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

2 (Sqrt[b + a x] - Log[1 + Sqrt[b + a x]])
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                    a
Time to compute: 0.02 second
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