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== Bibliography == {{refbegin|35em}} * {{Citation |last1=Anton |first1=Howard |last2=Bivens |first2=Irl C. |last3=Davis |first3=Stephen |title=Calculus: Early Transcendentals |volume= |pages= |year=2016 |edition=11th |publisher=John Wiley & Sons |isbn=978-1-118-88382-2}} * {{Citation |last=Apostol |first=Tom M. |title=Calculus, Vol. 1: One-Variable Calculus with an Introduction to Linear Algebra |url=https://archive.org/details/calculus01apos |volume= |pages= |year=1967 |edition=2nd |publisher=Wiley |isbn=978-0-471-00005-1 |author-link=Tom M. Apostol}} * {{Citation |last=Bourbaki |first=Nicolas |title=Integration I |volume= |pages= |year=2004 |publisher=Springer-Verlag |isbn=3-540-41129-1 |author-link=Nicolas Bourbaki}}. In particular chapters III and IV. * {{Citation |last=Burton |first=David M. |title=The History of Mathematics: An Introduction |volume= |pages= |year=2011 |edition=7th |publisher=McGraw-Hill |isbn=978-0-07-338315-6}} * {{Citation |last=Cajori |first=Florian |title=A History Of Mathematical Notations Volume II |url=https://archive.org/details/historyofmathema00cajo_0/page/247 |volume= |pages= |year=1929 |publisher=Open Court Publishing |isbn=978-0-486-67766-8 |author-link=Florian Cajori}} * {{Citation |last1=Dahlquist |first1=Germund |title=Numerical Methods in Scientific Computing, Volume I |volume= |pages= |year=2008 |archive-url=https://web.archive.org/web/20070615185623/http://www.mai.liu.se/~akbjo/NMbook.html |chapter=Chapter 5: Numerical Integration |chapter-url=http://www.mai.liu.se/~akbjo/NMbook.html |location=Philadelphia |publisher=[[Society for Industrial and Applied Mathematics|SIAM]] |archive-date=2007-06-15 |last2=Björck |first2=Åke |author1-link=Germund Dahlquist |url-status=dead}} * {{Citation |last=Feller |first=William |author-link=William Feller |title=An introduction to probability theory and its applications |pages= |year=1966 |publisher=John Wiley & Sons |url=https://archive.org/details/introductiontopr02fell_0 |volume= |url-access=registration}} * {{Citation |last=Folland |first=Gerald B. |author-link=Gerald Folland |title=Real Analysis: Modern Techniques and Their Applications |volume= |pages= |year=1999 |edition=2nd |publisher=John Wiley & Sons |isbn=0-471-31716-0}} * {{Citation |last=Fourier |first=Jean Baptiste Joseph |title=Théorie analytique de la chaleur |url=https://books.google.com/books?id=TDQJAAAAIAAJ |volume= |page=§231 |year=1822 |publisher=Chez Firmin Didot, père et fils |author-link=Joseph Fourier}}<br />Available in translation as {{citation |last=Fourier |first=Joseph |title=The analytical theory of heat |url=https://archive.org/details/analyticaltheory00fourrich |volume= |pages=200–201 |year=1878<!--original 1822--> |others=Freeman, Alexander (trans.) |publisher=Cambridge University Press}} *{{Citation |last1=Gonzalez |first1=Ivan |title=An extension of the method of brackets. Part 2 |date=1 January 2020 |journal=Open Mathematics |volume=18 |issue=1 |pages=983–995 |language=en |doi=10.1515/math-2020-0062 |issn=2391-5455 |last2=Jiu |first2=Lin |last3=Moll |first3=Victor H. |s2cid=222004668 |doi-access=free |arxiv=1707.08942}} * {{Citation |last= |first= |title=The Works of Archimedes |url=https://archive.org/details/worksofarchimede029517mbp |volume= |pages= |year=2002 |editor-last=Heath |editor-first=T. L. |publisher=Dover |isbn=978-0-486-42084-4 |editor-link=Thomas Little Heath}}<br/>(Originally published by Cambridge University Press, 1897, based on J. L. Heiberg's Greek version.) * {{Citation |last=Hildebrandt |first=T. H. |title=Integration in abstract spaces |url=http://projecteuclid.org/euclid.bams/1183517761 |journal=[[Bulletin of the American Mathematical Society]] |volume=59 |issue=2 |pages=111–139 |year=1953 |doi=10.1090/S0002-9904-1953-09694-X |issn=0273-0979 |author-link=Theophil Henry Hildebrandt |doi-access=free}} * {{Citation |last1=Kahaner |first1=David |title=Numerical Methods and Software |url=https://archive.org/details/numericalmethods0000kaha |volume= |pages= |year=1989 |chapter=Chapter 5: Numerical Quadrature |publisher=Prentice Hall |isbn=978-0-13-627258-8 |last2=Moler |first2=Cleve |last3=Nash |first3=Stephen |author2-link=Cleve Moler |url-access=registration}} *{{Citation |last=Kallio |first=Bruce Victor |title=A History of the Definite Integral |url=https://open.library.ubc.ca/soa/cIRcle/collections/ubctheses/831/items/1.0080597 |volume= |pages= |year=1966 |type=M.A. thesis |archive-url=https://web.archive.org/web/20140305054035/https://circle.ubc.ca/bitstream/id/132341/UBC_1966_A8%20K3.pdf |publisher=University of British Columbia |access-date=2014-02-28 |archive-date=2014-03-05 |url-status=dead}} *{{Citation |last=Katz |first=Victor J. |author-link=Victor J. Katz |title=A History of Mathematics: An Introduction |volume= |pages= |year=2009 |publisher=[[Addison-Wesley]] |isbn=978-0-321-38700-4}} *{{Citation |last1=Kempf |first1=Achim |last2=Jackson |first2=David M. |last3=Morales |first3=Alejandro H. |title=How to (path-)integrate by differentiating |journal=Journal of Physics: Conference Series |volume=626 |pages=012015 |year=2015 |issue=1 |publisher=[[IOP Publishing]] |doi=10.1088/1742-6596/626/1/012015 |arxiv=1507.04348 |bibcode=2015JPhCS.626a2015K |s2cid=119642596}} * {{Citation |last=Krantz |first=Steven G. |title=Real Analysis and Foundations |year=1991 |publisher=CRC Press |author-link=Steven G. Krantz |url=https://books.google.com/books?id=OI-0vu1rb7MC&pg=PA173 |isbn=0-8493-7156-2}} * {{Citation |last=Leibniz |first=Gottfried Wilhelm |title=Der Briefwechsel von Gottfried Wilhelm Leibniz mit Mathematikern. Erster Band |url=http://name.umdl.umich.edu/AAX2762.0001.001 |volume= |pages= |year=1899 |editor-last=Gerhardt |editor-first=Karl Immanuel |place=Berlin |publisher=Mayer & Müller |author-link=Gottfried Wilhelm Leibniz}} * {{citation |last1=Lieb |first1=Elliott |title=Analysis |volume=14 |pages= |year=2001 |series=[[Graduate Studies in Mathematics]] |edition=2nd |publisher=[[American Mathematical Society]] |isbn=978-0821827833 |last2=Loss |first2=Michael |author-link1=Elliott H. Lieb |author2-link=Michael Loss}} * {{citation |last1=Montesinos |first1=Vicente |last2=Zizler |first2=Peter |last3=Zizler |first3=Václav |title=An Introduction to Modern Analysis |edition=illustrated |publisher=Springer |year=2015 |isbn=978-3-319-12481-0 |url=https://books.google.com/books?id=mlX1CAAAQBAJ&pg=PA355}} * Paul J. Nahin (2015), ''Inside Interesting Integrals'', Springer, ISBN 978-1-4939-1276-6. *{{Citation |last1=Rich |first1=Albert |title=Rule-based integration: An extensive system of symbolic integration rules |date=16 December 2018 |journal=Journal of Open Source Software |volume=3 |issue=32 |pages=1073 |doi=10.21105/joss.01073 |last2=Scheibe |first2=Patrick |last3=Abbasi |first3=Nasser |bibcode=2018JOSS....3.1073R |s2cid=56487062 |doi-access=free}} * {{Citation |last=Rudin |first=Walter |title=Real and Complex Analysis |volume= |pages= |year=1987 |chapter=Chapter 1: Abstract Integration |edition=International |publisher=McGraw-Hill |isbn=978-0-07-100276-9 |author-link=Walter Rudin}} * {{Citation |last=Saks |first=Stanisław |title=Theory of the integral |url=http://matwbn.icm.edu.pl/kstresc.php?tom=7&wyd=10&jez= |volume= |pages= |year=1964 |edition=English translation by L. C. Young. With two additional notes by Stefan Banach. Second revised |place=New York |publisher=Dover |author-link=Stanisław Saks}} * {{citation |last=Siegmund-Schultze |first=Reinhard |author-link=Reinhard Siegmund-Schultze |title=Princeton Companion to Mathematics |volume= |pages= |year=2008 |editor=Timothy Gowers |chapter=Henri Lebesgue |publisher=Princeton University Press |isbn=978-0-691-11880-2 |editor2=June Barrow-Green |editor3=Imre Leader}}. * {{Citation |last=Stillwell |first=John |author-link=John Stillwell |title=Mathematics and Its History |year=1989 |publisher=Springer |isbn=0-387-96981-0 |url=https://archive.org/details/mathematicsitshi0000stil |url-access=registration}} * {{Citation |last1=Stoer |first1=Josef |author-link=Josef Stoer |title=Introduction to Numerical Analysis |volume= |pages= |year=2002 |chapter=Topics in Integration |edition=3rd |publisher=Springer |isbn=978-0-387-95452-3 |last2=Bulirsch |first2=Roland |author-link2=Roland Bulirsch}}. * {{citation |editor-last=Struik |editor-first=Dirk Jan |last= |first= |title=A Source Book in Mathematics, 1200-1800 |volume= |pages= |year=1986 |publisher=Princeton University Press |place=Princeton, New Jersey |isbn=0-691-08404-1 |editor-link=Dirk Jan Struik}} * Cornel Ioan Vălean (2019), ''(Almost Impossible) Integrals, Sums, and Series'', Springer, ISBN 978-3-030-02461-1. * Cornel Ioan Vălean (2023), ''More (Almost Impossible) Integrals, Sums, and Series'', Springer, ISBN 978-3-031-21261-1. * {{Citation |website=W3C |title=Arabic mathematical notation<!--W3C Interest Group Note 31--> |url=http://www.w3.org/TR/arabic-math/ |volume= |pages= |year=2006<!--January-->}} {{refend}}
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