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*Sqrt[1 + x^2]) + ArcSinh[x] + 2*x^2*ArcSinh[x])/4


Integrate[x*Log[x + Sqrt[1 + x^2]], x] ==
(-(x*Sqrt[1 + x^2]) + ArcSinh[x] + 2*x^2*ArcSinh[x])/4



                              2
Integrate[x Log[x + Sqrt[1 + x ]], x] == 

              2                     2
-(x Sqrt[1 + x ]) + ArcSinh[x] + 2 x  ArcSinh[x]
------------------------------------------------
                       4

Time to compute: 0.04 second

Spread the word: