Let f be a sum of symbolic expressions. One of the summands is
sage: a = ((z^3 - 10*z^2 + 17*z - 8)/(z^4 + z^3 + z^2 + z + 1)).integrate(z)
sage: a
integrate((z^3 - 10*z^2 + 17*z - 8)/(z^4 + z^3 + z^2 + z + 1), z)
which cannot be integrated. However, doing
sage: a.subs({z^4 + z^3 + z^2 + z + 1: (z^5-1)/(z-1)}).expand()
evaluates the integral.
How do I apply subs/expand only to the summands of f, which have
operator "integrate" and not to any other summand?
(I can only think of very complicated and long workarounds, so what is
the best way to do this?)
Best
Daniel
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