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differential forms and calculus in Sage

Hi,

I have a sixteen-variable integral which is defined by differential forms, e.g. for a simple example the integrand is dx+1/(xdy). Previously I was trying to compute this complicated integral using Mathematica, but after asking their StackExchange it turns out that Mathematica doesn't have support for differential forms.

I have checked the reference manual and although there is a section on differential forms, there is no section on calculus with differential forms.

To the best of your knowledge, is it possible to solve this kind of equation in Sage?