{"id":20,"date":"2018-12-20T06:01:27","date_gmt":"2018-12-20T06:01:27","guid":{"rendered":"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=20"},"modified":"2018-12-20T08:58:06","modified_gmt":"2018-12-20T08:58:06","slug":"integration-theory-i","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/chapter\/integration-theory-i\/","title":{"rendered":"Integration Theory &#8211; I"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/uJyfgubuLk0\" 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<img class=\"aligncenter size-full wp-image-41\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-1-2.jpg\" alt=\"\" width=\"1269\" height=\"1353\" \/><img class=\"aligncenter size-full wp-image-42\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-2-2.jpg\" alt=\"\" width=\"1259\" height=\"1581\" \/> <img class=\"aligncenter size-full wp-image-43\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-3-2.jpg\" alt=\"\" width=\"1259\" height=\"1593\" \/> <img class=\"aligncenter size-full wp-image-44\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-4-2.jpg\" alt=\"\" width=\"1257\" height=\"1515\" \/> <img class=\"aligncenter size-full wp-image-45\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-5-2.jpg\" alt=\"\" width=\"1305\" height=\"1591\" \/> <img class=\"aligncenter size-full wp-image-46\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-6-2.jpg\" alt=\"\" width=\"1285\" height=\"1595\" \/> <img class=\"aligncenter size-full wp-image-47\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-7-2.jpg\" alt=\"\" width=\"1269\" height=\"1617\" \/> <img class=\"aligncenter size-full wp-image-48\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-8-2.jpg\" alt=\"\" width=\"1309\" height=\"1261\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Integration Theory - I<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/uJyfgubuLk0\" 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<img class=\"aligncenter size-full wp-image-91\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234469IntegrationTheory-1_Ref-1-1.jpg\" alt=\"\" width=\"1215\" height=\"769\" \/>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/uJyfgubuLk0\" 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><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-41\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-1-2.jpg\" alt=\"\" width=\"1269\" height=\"1353\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-1-2.jpg 1269w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-1-2-281x300.jpg 281w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-1-2-768x819.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-1-2-960x1024.jpg 960w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-1-2-65x69.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-1-2-225x240.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-1-2-350x373.jpg 350w\" sizes=\"auto, (max-width: 1269px) 100vw, 1269px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-42\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-2-2.jpg\" alt=\"\" width=\"1259\" height=\"1581\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-2-2.jpg 1259w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-2-2-239x300.jpg 239w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-2-2-768x964.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-2-2-815x1024.jpg 815w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-2-2-65x82.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-2-2-225x283.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-2-2-350x440.jpg 350w\" sizes=\"auto, (max-width: 1259px) 100vw, 1259px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-43\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-3-2.jpg\" alt=\"\" width=\"1259\" height=\"1593\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-3-2.jpg 1259w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-3-2-237x300.jpg 237w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-3-2-768x972.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-3-2-809x1024.jpg 809w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-3-2-65x82.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-3-2-225x285.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-3-2-350x443.jpg 350w\" sizes=\"auto, (max-width: 1259px) 100vw, 1259px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-44\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-4-2.jpg\" alt=\"\" width=\"1257\" height=\"1515\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-4-2.jpg 1257w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-4-2-249x300.jpg 249w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-4-2-768x926.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-4-2-850x1024.jpg 850w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-4-2-65x78.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-4-2-225x271.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-4-2-350x422.jpg 350w\" sizes=\"auto, (max-width: 1257px) 100vw, 1257px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-45\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-5-2.jpg\" alt=\"\" width=\"1305\" height=\"1591\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-5-2.jpg 1305w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-5-2-246x300.jpg 246w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-5-2-768x936.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-5-2-840x1024.jpg 840w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-5-2-65x79.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-5-2-225x274.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-5-2-350x427.jpg 350w\" sizes=\"auto, (max-width: 1305px) 100vw, 1305px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-46\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-6-2.jpg\" alt=\"\" width=\"1285\" height=\"1595\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-6-2.jpg 1285w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-6-2-242x300.jpg 242w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-6-2-768x953.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-6-2-825x1024.jpg 825w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-6-2-65x81.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-6-2-225x279.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-6-2-350x434.jpg 350w\" sizes=\"auto, (max-width: 1285px) 100vw, 1285px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-47\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-7-2.jpg\" alt=\"\" width=\"1269\" height=\"1617\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-7-2.jpg 1269w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-7-2-235x300.jpg 235w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-7-2-768x979.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-7-2-804x1024.jpg 804w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-7-2-65x83.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-7-2-225x287.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-7-2-350x446.jpg 350w\" sizes=\"auto, (max-width: 1269px) 100vw, 1269px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-48\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-8-2.jpg\" alt=\"\" width=\"1309\" height=\"1261\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-8-2.jpg 1309w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-8-2-300x289.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-8-2-768x740.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-8-2-1024x986.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-8-2-65x63.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-8-2-225x217.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234462IntegrationTheory-1-8-2-350x337.jpg 350w\" sizes=\"auto, (max-width: 1309px) 100vw, 1309px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Integration Theory &#8211; I<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/uJyfgubuLk0\" 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><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-91\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234469IntegrationTheory-1_Ref-1-1.jpg\" alt=\"\" width=\"1215\" height=\"769\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234469IntegrationTheory-1_Ref-1-1.jpg 1215w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234469IntegrationTheory-1_Ref-1-1-300x190.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234469IntegrationTheory-1_Ref-1-1-768x486.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234469IntegrationTheory-1_Ref-1-1-1024x648.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234469IntegrationTheory-1_Ref-1-1-65x41.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234469IntegrationTheory-1_Ref-1-1-225x142.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522234469IntegrationTheory-1_Ref-1-1-350x222.jpg 350w\" sizes=\"auto, (max-width: 1215px) 100vw, 1215px\" 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