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[c - d*x^2] + Sqrt[c]*Log[c^(3/2)*x] - Sqrt[c]*Log[2*(c + Sqrt[c]*Sqrt[c - d*x^2])]

Integrate[Sqrt[c - d*x^2]/x, x] ==
Sqrt[c - d*x^2] + Sqrt[c]*Log[c^(3/2)*x] - Sqrt[c]*Log[2*(c + Sqrt[c]*Sqrt[c - d*x^2])] 

                      2
          Sqrt[c - d x ]
Integrate[--------------, x] == 
                x

            2                 3/2
Sqrt[c - d x ] + Sqrt[c] Log[c    x] - 
 
                                         2
  Sqrt[c] Log[2 (c + Sqrt[c] Sqrt[c - d x ])]
Time to compute: 0.05 second
Spread the word: