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Keywords:
integration; elementary functions; primitives
integration; elementary functions; primitives
Summary:
Let $m$ be a natural number. Let $f,g$ and $Q$ be real polynomials such that $\{deg\ f, deg\ g\}\subset\{1,2\}, deg\ Q<m\ deg\ f,g$ is not a square and $f$ has imaginary roots, if it is not linear. Effective methods for the integration of $Q/(f^m\sqrt{g}$ are exhibited.
References:
[1] Mangoldt-Knopp: Einführung in die höhere Mathematik. Dritter Band, Hirzel, 1933.
[2] G. H. Hardy: The integration of functions of a single variable. Second edition Cambridge, 1928.
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