{"id":300,"date":"2018-07-12T07:18:18","date_gmt":"2018-07-12T07:18:18","guid":{"rendered":"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=300"},"modified":"2019-05-15T09:00:55","modified_gmt":"2019-05-15T09:00:55","slug":"trapezoidal-rule-and-its-error-term","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/chapter\/trapezoidal-rule-and-its-error-term\/","title":{"rendered":"Trapezoidal Rule and its Error Term"},"content":{"raw":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/Hc9C38hs7Vw\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n<p style=\"text-align: center;\"><strong>Trapezoidal Rule &amp; its Error Term<\/strong><\/p>\r\n&nbsp;\r\n\r\n<img class=\"aligncenter wp-image-311 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_01-e1533210582916.jpg\" alt=\"\" width=\"1244\" height=\"1350\" \/> <img class=\"aligncenter wp-image-310 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_02-e1533210613966.jpg\" alt=\"\" width=\"1259\" height=\"1754\" \/> <img class=\"aligncenter wp-image-309 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_03-e1533210646394.jpg\" alt=\"\" width=\"1259\" height=\"1782\" \/> <img class=\"aligncenter wp-image-308 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_04-e1533210669699.jpg\" alt=\"\" width=\"1485\" height=\"2013\" \/> <img class=\"aligncenter wp-image-307 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_05-e1533210698198.jpg\" alt=\"\" width=\"1523\" height=\"2249\" \/> <img class=\"aligncenter wp-image-306 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_06-e1533210721111.jpg\" alt=\"\" width=\"1237\" height=\"1820\" \/> <img class=\"aligncenter wp-image-305 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_07-e1533210749909.jpg\" alt=\"\" width=\"1287\" height=\"1738\" \/> <img class=\"aligncenter wp-image-304 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_08-e1533210851366.jpg\" alt=\"\" width=\"1270\" height=\"1336\" \/> <img class=\"aligncenter wp-image-303 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_09-e1533210898717.jpg\" alt=\"\" width=\"804\" height=\"1256\" \/> <img class=\"aligncenter wp-image-302 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_10-e1533210931274.jpg\" alt=\"\" width=\"1287\" height=\"1793\" \/> <img class=\"aligncenter wp-image-301 \" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_11-e1533210973936.jpg\" alt=\"\" width=\"795\" height=\"546\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Trapezoidal Rule and its Error Term<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/Hc9C38hs7Vw\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n<strong>Suggested Reading:<\/strong>\r\n<ol>\r\n \t<li>Numerical Methods for Engineers by Steven C Chapra &amp; Raymond P Canale, Fifth Edition, Tata McGraw Hill Publication, Special Indian Edition.<\/li>\r\n \t<li>A \u00a0Friendly\u00a0 \u00a0Introduction\u00a0 \u00a0to\u00a0 \u00a0Numerical\u00a0 \u00a0Analysis\u00a0 \u00a0by\u00a0 \u00a0Brian\u00a0 \u00a0Bradie,\u00a0 \u00a0Pearson Education.<\/li>\r\n \t<li>Numerical Mathematics and Computing by Ward Cheney &amp; David Kincaid, fifth Edition, Cengage Learning.<\/li>\r\n \t<li>Computer Oriented Numerical Methods by Dr. N Datta, Vikas Publication.<\/li>\r\n \t<li>Numerical Methods with Programs in C by T Veerarajan &amp; T Ramachandran, Second Edition, Tata McGraw Hill Publication.<\/li>\r\n \t<li>Numerical Methods by V. Rajaraman, Third Edition, Prentice-Hall India Pvt. Ltd.<\/li>\r\n \t<li>Numerical Methods \u00a0with \u00a0C++ \u00a0Programming \u00a0by \u00a0RM \u00a0Somasundaram \u00a0&amp; \u00a0RM Chandrasekaran, Prentice-Hall India Pvt. Ltd.<\/li>\r\n \t<li>Applied Numerical Analysis by C F Gerald &amp; P O Wheatley, Seventh Edition, Pearson Education Asia, New Delhi.<\/li>\r\n \t<li>Numerical Methods by Dr. V. N. Vedamurthy &amp; Dr. N.Ch. S.N. Iyengar, Vikas Publication.<\/li>\r\n \t<li>Numerical Analysis\u00a0\u00a0\u00a0 by\u00a0\u00a0\u00a0 Richard\u00a0\u00a0 L.\u00a0\u00a0\u00a0 Burden,\u00a0\u00a0\u00a0 J.\u00a0\u00a0 Douglas\u00a0\u00a0\u00a0 Faires,\u00a0\u00a0 Cengage Publishcation.<\/li>\r\n \t<li>Numerical Methods with programs in BASIC, FORTRAN, Pascal and C++ by S. Balachandra Rao &amp; C. K. Shantha, Revised Edition, Universities Press.<\/li>\r\n \t<li>A Textbook of Computer Based Numerical and Statistical Techniques by A. K. Jaiswal &amp; Anju Khandelwal, New Age International (P) Ltd, Publishers.<\/li>\r\n \t<li>http:\/\/www.math.niu.edu\/~dattab\/MATH435.2013\/<\/li>\r\n<\/ol>","rendered":"<div><span style=\"float: right;\"><a href=\"https:\/\/youtu.be\/Hc9C38hs7Vw\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p style=\"text-align: center;\"><strong>Trapezoidal Rule &amp; its Error Term<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-311 size-full\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_01-e1533210582916.jpg\" alt=\"\" width=\"1244\" height=\"1350\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_01-e1533210582916.jpg 1244w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_01-e1533210582916-276x300.jpg 276w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_01-e1533210582916-768x833.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_01-e1533210582916-944x1024.jpg 944w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_01-e1533210582916-65x71.jpg 65w, 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https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_10-e1533210931274-350x488.jpg 350w\" sizes=\"auto, (max-width: 1287px) 100vw, 1287px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-301\" src=\"http:\/\/itp15.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_11-e1533210973936.jpg\" alt=\"\" width=\"795\" height=\"546\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_11-e1533210973936.jpg 1261w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_11-e1533210973936-300x206.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_11-e1533210973936-768x527.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_11-e1533210973936-1024x703.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_11-e1533210973936-65x45.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_11-e1533210973936-225x155.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-content\/uploads\/sites\/26\/2018\/07\/1508737803TrapezoidalRuleanderrorterminTrapezoidalRule_Page_11-e1533210973936-350x240.jpg 350w\" sizes=\"auto, (max-width: 795px) 100vw, 795px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Trapezoidal Rule and its Error Term<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/Hc9C38hs7Vw\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Suggested Reading:<\/strong><\/p>\n<ol>\n<li>Numerical Methods for Engineers by Steven C Chapra &amp; Raymond P Canale, Fifth Edition, Tata McGraw Hill Publication, Special Indian Edition.<\/li>\n<li>A \u00a0Friendly\u00a0 \u00a0Introduction\u00a0 \u00a0to\u00a0 \u00a0Numerical\u00a0 \u00a0Analysis\u00a0 \u00a0by\u00a0 \u00a0Brian\u00a0 \u00a0Bradie,\u00a0 \u00a0Pearson Education.<\/li>\n<li>Numerical Mathematics and Computing by Ward Cheney &amp; David Kincaid, fifth Edition, Cengage Learning.<\/li>\n<li>Computer Oriented Numerical Methods by Dr. N Datta, Vikas Publication.<\/li>\n<li>Numerical Methods with Programs in C by T Veerarajan &amp; T Ramachandran, Second Edition, Tata McGraw Hill Publication.<\/li>\n<li>Numerical Methods by V. Rajaraman, Third Edition, Prentice-Hall India Pvt. Ltd.<\/li>\n<li>Numerical Methods \u00a0with \u00a0C++ \u00a0Programming \u00a0by \u00a0RM \u00a0Somasundaram \u00a0&amp; \u00a0RM Chandrasekaran, Prentice-Hall India Pvt. Ltd.<\/li>\n<li>Applied Numerical Analysis by C F Gerald &amp; P O Wheatley, Seventh Edition, Pearson Education Asia, New Delhi.<\/li>\n<li>Numerical Methods by Dr. V. N. Vedamurthy &amp; Dr. N.Ch. S.N. Iyengar, Vikas Publication.<\/li>\n<li>Numerical Analysis\u00a0\u00a0\u00a0 by\u00a0\u00a0\u00a0 Richard\u00a0\u00a0 L.\u00a0\u00a0\u00a0 Burden,\u00a0\u00a0\u00a0 J.\u00a0\u00a0 Douglas\u00a0\u00a0\u00a0 Faires,\u00a0\u00a0 Cengage Publishcation.<\/li>\n<li>Numerical Methods with programs in BASIC, FORTRAN, Pascal and C++ by S. Balachandra Rao &amp; C. K. Shantha, Revised Edition, Universities Press.<\/li>\n<li>A Textbook of Computer Based Numerical and Statistical Techniques by A. K. Jaiswal &amp; Anju Khandelwal, New Age International (P) Ltd, Publishers.<\/li>\n<li>http:\/\/www.math.niu.edu\/~dattab\/MATH435.2013\/<\/li>\n<\/ol>\n","protected":false},"author":4,"menu_order":24,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["prof-savita-r-gandhi"],"pb_section_license":""},"chapter-type":[],"contributor":[58],"license":[],"class_list":["post-300","chapter","type-chapter","status-publish","hentry","contributor-prof-savita-r-gandhi"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/300","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/users\/4"}],"version-history":[{"count":5,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/300\/revisions"}],"predecessor-version":[{"id":606,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/300\/revisions\/606"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapters\/300\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/media?parent=300"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/pressbooks\/v2\/chapter-type?post=300"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/contributor?post=300"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/itp15\/wp-json\/wp\/v2\/license?post=300"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}