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A Generalization to Integral e^-x. (f(x)-f’(x))dx
Toyesh Prakash Sharma1
Section:Research Paper, Product Type: Journal-Paper
Vol.8 ,
Issue.1 , pp.72-75, Feb-2021
Online published on Feb 28, 2021
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, “A Generalization to Integral e^-x. (f(x)-f’(x))dx,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.8, Issue.1, pp.72-75, 2021.
MLA Style Citation: Toyesh Prakash Sharma "A Generalization to Integral e^-x. (f(x)-f’(x))dx." International Journal of Scientific Research in Mathematical and Statistical Sciences 8.1 (2021): 72-75.
APA Style Citation: Toyesh Prakash Sharma, (2021). A Generalization to Integral e^-x. (f(x)-f’(x))dx. International Journal of Scientific Research in Mathematical and Statistical Sciences, 8(1), 72-75.
BibTex Style Citation:
@article{Sharma_2021,
author = {Toyesh Prakash Sharma},
title = {A Generalization to Integral e^-x. (f(x)-f’(x))dx},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2021},
volume = {8},
Issue = {1},
month = {2},
year = {2021},
issn = {2347-2693},
pages = {72-75},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2288},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2288
TI - A Generalization to Integral e^-x. (f(x)-f’(x))dx
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Toyesh Prakash Sharma
PY - 2021
DA - 2021/02/28
PB - IJCSE, Indore, INDIA
SP - 72-75
IS - 1
VL - 8
SN - 2347-2693
ER -
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Abstract :
with the help of this paper, the author is providing a generalization related to the integral of for bringing the main result author used concept of integral by parts, the concept of mathematical induction, integration, differentiation etc. by applying author’s generalization we can easily solve many time-consuming integrals which may a good thing for solvers to find the given integrals in less duration of time respectively. Most of the times peoples can’t think about founding generalizations of those problems that they solved. Those who tries, loose their motive due to complexities in calculations and that’s why only some of them found generalization to a specific expression or problem respectively.
Key-Words / Index Term :
Induction, Integral by Parts, Integral, derivative, Function etc.
References :
[1] Toyesh Prakash Sharma, "A Generalization to ? e x (ƒ (x) + ƒ1(x))dx," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.6, pp.46-50, 2020.
[2] NCERT- Mathematics Textbook for class XI Ch-4 Principles of Mathematical induction. P.86 .
[3] NCERT- Mathematics Textbook for class XII Ch-7 integrals Ex-7.6. P.323-328. ISBN-81-7450-653-5.
[4] Joseph Edwards: Integral Calculus for beginners, Ch-IV “ Integral by Parts.. Publisher-arihant P 32 ISBN-978-93-5094-145-4.
[5] R.D Sharma “Mathematics class-XII” Vol. 1 Ch- 19 Indefinate integral Ex-19.26, publication Danpat Pai Publications rivised edition 2020 ISBN-978-81-941926-5-7. p.19.137-19.151
[6] NCERT- Mathematics Textbook for class XII Ch-7 integrals Example 21 before Ex-7.6. P.326. ISBN-81-7450-653-5
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