Wolfram Mathematica Online Integrator
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Integrate[x*(E^x + Tanh[2*x]), x] ==
(2*E^x*(-1 + x) - x^2 + RootSum[1 + #1^4 & ,
x*Log[1 - E^x/#1] + PolyLog[2, E^x/#1] & ])/2
x Integrate[x (E + Tanh[2 x]), x] ==
x 2
(2 E (-1 + x) - x +
4
RootSum[1 + #1 & ,
x x
E E
x Log[1 - --] + PolyLog[2, --] & ]) / 2
#1 #1
Time to compute: 0.07 second
: Log[x]: natural logarithm [properties]
: PolyLog[n, x]: polylogarithm function [properties]
RootSum[f, form]: sum over the roots of a polynomial
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