| Title:
|
Integration of some very elementary functions (English) |
| Author:
|
Mařík, Jan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
118 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
201-217 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
integration |
| Keyword:
|
elementary functions |
| Keyword:
|
primitives |
| MSC:
|
26A06 |
| MSC:
|
26A09 |
| idZBL:
|
Zbl 0782.26001 |
| idMR:
|
MR1223486 |
| DOI:
|
10.21136/MB.1993.126051 |
| . |
| Date available:
|
2009-09-24T20:59:03Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126051 |
| . |
| Reference:
|
[1] Mangoldt-Knopp: Einführung in die höhere Mathematik.Dritter Band, Hirzel, 1933. |
| Reference:
|
[2] G. H. Hardy: The integration of functions of a single variable.Second edition Cambridge, 1928. |
| . |
