- Integration of rational functions.
**Homework**: do the exercise in this worksheet. - More on integration of rational functions.
**Homework**: Write a procedure with input: a rational function f, and output: rational functions A,g such that f = A' + g and denom(g) is squarefree. This way, the integration problem int(f,x) is reduced to an integration problem A+int(g,x) where g is a function with no poles of order > 1. - The residue.
- More on residues.
**Summary of the previous worksheets:**Integration of rational functions. (contains an**assignment**).- Differential fields, logarithms polynomial case
- Logarithms general case.
- Another example for a logarithmic extension.
- valuations, Liouvilles Principle.
- The exponential case example 1. Example 2