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

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

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

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

             Sqrt[b]
  ArcTan[---------------]
                      2
         Sqrt[-b + a x ]
-(-----------------------)
          Sqrt[b]
Time to compute: 0.04 second
Spread the word: