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

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫

RootSum[1 - #1^4 + #1^8 & , Log[x - #1]/(-#1^3 + 2*#1^7) & ]/4


Integrate[1/(1 - x^4 + x^8), x] ==
RootSum[1 - #1^4 + #1^8 & , Log[x - #1]/(-#1^3 + 2*#1^7) & ]/4



               1
Integrate[-----------, x] == 
               4    8
          1 - x  + x

              4     8     Log[x - #1]
RootSum[1 - #1  + #1  & , ------------ & ]
                             3       7
                          -#1  + 2 #1
------------------------------------------
                    4

Time to compute: 0.17 second

Log[x]: Log[x]: natural logarithm [properties] RootSum[f, form]: sum over the roots of a polynomial


Spread the word: