Contour integrals

[SalahDin Rezk]

Hi,

A time ago I was discussing how to solve a given integral using traditional methods. I was looking for a way to implement it using the usual manual integration module. However, I was recently discussing a similar integral with a friend and he told me that it would be better to solve it using contour integrals (from complex analysis). I know this will not achieve the desired behaviour of solving indefinite integrals, but at least it will provide clean steps for definite ones. Are there modules or tools that could help with this implementation?

The integral: ∫ log(1 + x) / (x*(x + 1)) dx 

The issue: https://github.com/sympy/sympy/issues/28358

Thank you.