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*ArcSec[a*x] - (Sqrt[1 - 1/(a^2*x^2)]*x*Log[2*a*(a*x + Sqrt[-1 + a^2*x^2])])/Sqrt[-1 + a^2*x^2]


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



Integrate[ArcSec[a x], x] == 

x ArcSec[a x] - 
 
              1                                2  2
   Sqrt[1 - -----] x Log[2 a (a x + Sqrt[-1 + a  x ])]
             2  2
            a  x
   ---------------------------------------------------
                               2  2
                    Sqrt[-1 + a  x ]

Time to compute: 0.17 second

Spread the word: