Sympy doesn't calculate an elementar integral

[sprmnt21]

The following integral

(log(x)^2+2x*log(x)+x^2+(x+1)*sqrt(x+log(x))) / (x*log(x)^2+2*x^2log(x)+x^3)

have an elementar antiderivative

see. ex 9 from SYMBOLIC INTEGRATION TUTORIAL Manuel Bronstein

[sprmnt21]

after simple algebra you can have that integrand is equal to

1/x +(x + 1)/(x*(x + log(x))**(3/2))

and using for the second part the rtasformation (x+log(x))=t we have an easy solution