Hello.

Sage cannot integrate the expression f.

However, with g there is no problem.

Here g is the factored version of f.

Is this expected?

Thanks in advance,

Guillermo Moreno-Socías


┌────────────────────────────────────────────────────────────────────┐

│ SageMath Version 6.10, Release Date: 2015-12-18                    │

│ Type "notebook()" for the browser-based notebook interface.        │

│ Type "help()" for help.                                            │

└────────────────────────────────────────────────────────────────────┘

sage: var('x')

x

sage: f=1/(x+x*(ln(x))^2);f

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

sage: integral(f,x)

integrate(1/(x*log(x)^2 + x), x)

sage: g=1/(x*(1+(ln(x))^2));g

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

sage: integral(g,x)

arctan(log(x))

sage: 

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