Geodesic
A note on integration of rational functions
Mathematica Bohemica, Tome 116 (1991) no. 4, pp. 405-411.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Let $P$ and $Q$ be polynomials in one variable with complex coefficients and let $n$ be a natural number. Suppose that $Q$ is not constant and has only simple roots. Then there is a rational function $\varphi$ with $\varphi '=P/Q^{n+1}$ if and only if the Wronskian of the functions $Q',(Q^2)',\ldots,(Q^n)',P$ is divisible by $Q$.
DOI : 10.21136/MB.1991.126024
Classification : 26C15
Keywords: integration; primitive; rational function; Wronskian 
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Mařík, Jan. A note on integration of rational functions. Mathematica Bohemica, Tome 116 (1991) no. 4, pp. 405-411. doi : 10.21136/MB.1991.126024. http://geodesic.mathdoc.fr/articles/10.21136/MB.1991.126024/

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