integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
-(Sqrt[a + b*x]/x) - (b*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/Sqrt[a]

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

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

                             Sqrt[a + b x]
                   b ArcTanh[-------------]
  Sqrt[a + b x]                 Sqrt[a]
-(-------------) - ------------------------
        x                  Sqrt[a]
Time to compute: 0.06 second
Spread the word: