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

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
x*ArcCsc[x] + (Sqrt[-1 + x^2]*Log[2*(x + Sqrt[-1 + x^2])])/(Sqrt[1 - x^(-2)]*x)

Integrate[ArcCsc[x], x] ==
x*ArcCsc[x] + (Sqrt[-1 + x^2]* Log[2*(x + Sqrt[-1 + x^2])])/(Sqrt[1 - x^(-2)]*x) 

Integrate[ArcCsc[x], x] == 

                         2                        2
              Sqrt[-1 + x ] Log[2 (x + Sqrt[-1 + x ])]
x ArcCsc[x] + ----------------------------------------
                                    -2
                          Sqrt[1 - x  ] x
Time to compute: 0.08 second
Spread the word: