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A Generalization to ? e x (ƒ (x) + ƒ1(x))dx
Toyesh Prakash Sharma1
Section:Research Paper, Product Type: Journal-Paper
Vol.7 ,
Issue.6 , pp.46-50, Dec-2020
Online published on Dec 31, 2020
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 ? 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.
MLA Style Citation: Toyesh Prakash Sharma "A Generalization to ? e x (ƒ (x) + ƒ1(x))dx." International Journal of Scientific Research in Mathematical and Statistical Sciences 7.6 (2020): 46-50.
APA Style Citation: Toyesh Prakash Sharma, (2020). A Generalization to ? e x (ƒ (x) + ƒ1(x))dx. International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(6), 46-50.
BibTex Style Citation:
@article{Sharma_2020,
author = {Toyesh Prakash Sharma},
title = {A Generalization to ? e x (ƒ (x) + ƒ1(x))dx},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2020},
volume = {7},
Issue = {6},
month = {12},
year = {2020},
issn = {2347-2693},
pages = {46-50},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2214},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2214
TI - A Generalization to ? e x (ƒ (x) + ƒ1(x))dx
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Toyesh Prakash Sharma
PY - 2020
DA - 2020/12/31
PB - IJCSE, Indore, INDIA
SP - 46-50
IS - 6
VL - 7
SN - 2347-2693
ER -
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Abstract :
With the help of this paper, the author is providing a generalized expression of well-known integral i.e. integral of e^x(f(x)+f`(x))dx, for concluding the main result author used concept of integral by parts, the concept of mathematical induction, differentiation, integration, etc. by using 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. Generally, peoples are not focusing on finding generalizations to given integral as a problem but, yes, they can solve given integral, some of the persons try to find generalizations of given integral but due to very long procedure, they drop their idea.
Key-Words / Index Term :
Integral by parts, Mathematical induction, differentian, Integration, exponentials etc
References :
[1] Amit M Agrawal, “ Integral Calulus” Ch-1 Indefinate integral session 4 integral by parts publisher- Arhint p.22 ISBN-978-93-13191-91-9.
[2] NCERT- Mathematics Textbook for class XII Ch-7 integrals Ex-7.6. P.326 . ISBN-81-7450-653-5
[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 XI Ch-4 Principles of Mathematical induction. P.86
[7] NCERT- Mathematics Textbook for class XII Ch-7 integrals Example 21 before Ex-7.6. P.326. ISBN-81-7450-653-5
[8] Socratic Q and A: “How to find integral of excosxdx?.
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