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

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

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

               2
  Sqrt[-b + a x ]
-(---------------) + Sqrt[a] 
         x
 
                                     2
   Log[2 (a x + Sqrt[a] Sqrt[-b + a x ])]
Time to compute: 0.06 second
Spread the word: