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

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
2*Sqrt[a + b*x] - 2*Sqrt[a]*ArcTanh[Sqrt[a + b*x]/Sqrt[a]]

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

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

                                    Sqrt[a + b x]
2 Sqrt[a + b x] - 2 Sqrt[a] ArcTanh[-------------]
                                       Sqrt[a]
Time to compute: 0.03 second
Spread the word: