On 10.03.23 09:16, 'Martin R' via FriCAS - computer algebra system wrote:
During integration FriCAS tries as much as it can preserve structure of
user input.

I think that this is not true with respect to polynomials: these are always
expanded, right?

Martin, you should know that there is concept of a "unexpanded polynomial" in FriCAS. So *before* the integrator sees the polynomial, it is already expanded.

The closest you can have is if the polynomial is of type

  Factored Polynomial C

However, most probably it will internally be converted to Expression(C) which is represented as a (expanded) rational function in Kernel(X).

What Waldek probably meant was that the result expresssion does not have other kernels than the input if not absolutely necessary.

Does that make sense? Maybe Waldek will correct me if my analysis is wrong.

Ralf

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