Integration of some very elementary functions

Jan Mařík

Mathematica Bohemica (1993)

  • Volume: 118, Issue: 2, page 201-217
  • ISSN: 0862-7959

Abstract

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Let m be a natural number. Let f , g and Q be real polynomials such that { d e g f , d e g g } ⊂ { 1 , 2 } , d e g Q < m d e g 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 g are exhibited.

How to cite

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Mařík, Jan. "Integration of some very elementary functions." Mathematica Bohemica 118.2 (1993): 201-217. <http://eudml.org/doc/29205>.

@article{Mařík1993,
abstract = {Let $m$ be a natural number. Let $f,g$ and $Q$ be real polynomials such that $\lbrace deg\ f, deg\ g\rbrace \subset \lbrace 1,2\rbrace , deg\ Q<m\ deg\ f,g$ 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.},
author = {Mařík, Jan},
journal = {Mathematica Bohemica},
keywords = {integration; elementary functions; primitives; integration; elementary functions; primitives},
language = {eng},
number = {2},
pages = {201-217},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Integration of some very elementary functions},
url = {http://eudml.org/doc/29205},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Mařík, Jan
TI - Integration of some very elementary functions
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 2
SP - 201
EP - 217
AB - Let $m$ be a natural number. Let $f,g$ and $Q$ be real polynomials such that $\lbrace deg\ f, deg\ g\rbrace \subset \lbrace 1,2\rbrace , deg\ Q<m\ deg\ f,g$ 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.
LA - eng
KW - integration; elementary functions; primitives; integration; elementary functions; primitives
UR - http://eudml.org/doc/29205
ER -

References

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  1. Mangoldt-Knopp, Einführung in die höhere Mathematik, Dritter Band, Hirzel, 1933. (1933) 
  2. G. H. Hardy, The integration of functions of a single variable, Second edition Cambridge, 1928. (1928) 

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