Conference paperKUNOVSKÝ Jiří and HONZÍK Petr. Definite Integrals in TKSL, Maple and Matlab. In: Proceedings of the Fifth International Scientific Conference Electronic Computers and Informatics 2002. Letná 42, 040 01 TU Košice: The University of Technology Košice, 2002, pp. 2224. ISBN 8070998792.  Publication language:  english 

Original title:  Definite Integrals in TKSL, Maple and Matlab 

Title (cs):  Určité integrály v TKSL, Maplu a Matlabu 

Pages:  2224 

Proceedings:  Proceedings of the Fifth International Scientific Conference Electronic Computers and Informatics 2002 

Conference:  The Fifth International Scientific Conference Electronic Computers and Informatics 2002 

Place:  Letná 42, 040 01 TU Košice, SK 

Year:  2002 

ISBN:  8070998792 

Publisher:  The University of Technology Košice 

Keywords 

TKSL, Definite integrals, Modern Taylor Series Method 
Annotation 

For the derivatives of all decent functions analytic formulas can be found but with integration this is only true for very special decent functions. For all functions that have Taylor series the calculation of their integrals can be conducted indirectly via their derivatives. Thus, the problem of solving a definite onedimensional integral taken as a function of the upper boundary can be transformed to solving a system of differential equations. The best way how to solve the system of differential equations is to use the Modern Taylor Series Method. 
BibTeX: 

@INPROCEEDINGS{
author = {Ji{\v{r}}{\'{i}} Kunovsk{\'{y}} and Petr
Honz{\'{i}}k},
title = {Definite Integrals in TKSL, Maple and Matlab},
pages = {2224},
booktitle = {Proceedings of the Fifth International Scientific Conference
Electronic Computers and Informatics 2002},
year = {2002},
location = {Letn{\'{a}} 42, 040 01 TU Ko{\v{s}}ice, SK},
publisher = {The University of Technology Ko{\v{s}}ice},
ISBN = {8070998792},
language = {english},
url = {http://www.fit.vutbr.cz/research/view_pub.php.en?id=7000}
} 
