Geodesic
Integration of some very elementary functions
Mathematica Bohemica, Tome 118 (1993) no. 2, pp. 201-217

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MR Zbl
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
Let $m$ be a natural number. Let $f,g$ and $Q$ be real polynomials such that $\{deg\ f, deg\ g\}\subset\{1,2\}, deg\ Q$ 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.
DOI : 10.21136/MB.1993.126051
Classification : 26A06, 26A09
Keywords: integration; elementary functions; primitives 
Mařík, Jan. Integration of some very elementary functions. Mathematica Bohemica, Tome 118 (1993) no. 2, pp. 201-217. doi: 10.21136/MB.1993.126051
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[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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