Wolfram Mathematica Online Integrator
The world's only full-power integration solver
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: 0.03 second
: Log[x]: natural logarithm [properties]
RootSum[f, form]: sum over the roots of a polynomial
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