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Putting Forward a Theorem Based On the Lobachesky Integration Formula
Toyesh Prakash Sharma1
Section:Research Paper, Product Type: Journal-Paper
Vol.9 ,
Issue.3 , pp.26-30, Jun-2022
Online published on Jun 30, 2022
Copyright © Toyesh Prakash Sharma . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Toyesh Prakash Sharma, “Putting Forward a Theorem Based On the Lobachesky Integration Formula,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.9, Issue.3, pp.26-30, 2022.
MLA Style Citation: Toyesh Prakash Sharma "Putting Forward a Theorem Based On the Lobachesky Integration Formula." International Journal of Scientific Research in Mathematical and Statistical Sciences 9.3 (2022): 26-30.
APA Style Citation: Toyesh Prakash Sharma, (2022). Putting Forward a Theorem Based On the Lobachesky Integration Formula. International Journal of Scientific Research in Mathematical and Statistical Sciences, 9(3), 26-30.
BibTex Style Citation:
@article{Sharma_2022,
author = {Toyesh Prakash Sharma},
title = {Putting Forward a Theorem Based On the Lobachesky Integration Formula},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2022},
volume = {9},
Issue = {3},
month = {6},
year = {2022},
issn = {2347-2693},
pages = {26-30},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2841},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2841
TI - Putting Forward a Theorem Based On the Lobachesky Integration Formula
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Toyesh Prakash Sharma
PY - 2022
DA - 2022/06/30
PB - IJCSE, Indore, INDIA
SP - 26-30
IS - 3
VL - 9
SN - 2347-2693
ER -
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Abstract :
with the help of this paper a new formula related to integration is proposed, there are various integral formulas which helps us in solving different types of problems, some of them also helps in giving generalization to some well-known results as Lobachesky Integration Formula helps us in providing, , etc. from the time of Dirichlet, Dirichlet’s Integral are equally popular among mathematicians, Undergraduates, Graduates, Professors and others having knowledge of definite Integration so, everyone who knows definite integration can understand properly. The main formula is not too difficult for proving by anyone, from the point of view of the author but the problem that suddenly strikes in the mind of the author is not that possible to everyone. but he didn’t answer the problem and was also not able to find any clue regarding it, one day he got Lobachesky Integration Formula and answer that problem which was not answered by him at that time.
Key-Words / Index Term :
Improper Integral, Definite Integral, Convergent and Divergent Integrals, Maz Identity, Integration by Parts, Dirichlet Integral etc.
References :
[1] A.R Vasishtha “Text Book Integral Calculus BSc. Mathematics-1, part-B”.Krishna Publication p. I-60, 2021
[2] A.R Vasishtha and others“Text Book Integral Calculus BSc. Mathematics-1, part-B.” Krishna Publication p. I-68. 2021
[3] G.H.Hardy “The Integral from 0 to infinite sin^2x/x^2”. The Mathematical Gazette, Vol. 5, No. 80 pp. 98–103 , 1909.
[4] Dixon. A. C “Prove that The Integral from 0 to infinite sin^2x/x^2” The Mathematical Gazette, Vol. 6, No. 96 pp. 223–224 (January 1912),.
[5] Hassan Jolany “An extension of Lobachevsky formula” Elemente der Mathematik, European Mathematical Society, Vol. 73 issue 3, pp.89 - 94, 2018.
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