0 / | | 2 | x + 1 | --------------- dx | 5 | / 3 \ | \x + 3*x + 1/ | / 0
Integral((x^2 + 1)/(x^3 + 3*x + 1)^5, (x, 0, 0))
/ 2\ | / _________________________________ \ | / 2\ | | / ___ | | | / ____________________________________ \ | | | / 54029 75507823*\/ 5 | | | | / ___ | | | | 3 / ------------ + ---------------- | | | | / 54029 75507823*\/ 5 101 | | | | \/ 448403343750 1401260449218750 101 | | | 20593338750000*|3 / -------------- + ----------------- - -----------------------------------------------------| | | 20593338750000*|- -------------------------------------- + --------------------------------------------------| | | ____________________________________ |\/ 12106890281250 37834032128906250 ____________________________________| | / _________________________________ \ | _________________________________ | 3 _________________________________| | / ___________________________________ \ / | / ___ | / ___ | | | / ___ | | / ___ | / ___ | | | / ___ | | / ____________________________________ \ | / 54029 75507823*\/ 5 | / 54029 75507823*\/ 5 | | / _____________________________________ \ / / ____________________________ ____________________________ 2/3 2/3 2/3 \ 2/3 2/3 ____________________________ ____________________________ ____________________________ \ | / 54029 75507823*\/ 5 | | / 54029 75507823*\/ 5 | / 54029 75507823*\/ 5 | | | / 54029 75507823*\/ 5 | / / ____________________________ ____________________________ 2/3 2/3 2/3 \ 2/3 2/3 ____________________________ ____________________________ ____________________________ \ | 2 10 8 11 9 6 2 3 7 4 5 | / ___ | | 31006648125*3 / -------------- + ----------------- | 41518828125*3 / -------------- + ----------------- | | | / ___ | | | 3 / ___ 3 ____ ___ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 3 ____ / ___\ 2/3 5/6 / ___\ 2/3 3 ___ / ___\ | / ___\ 3 ____ ___ / ___\ 3 ____ 3 / ___ 2/3 5/6 2/3 3 ___ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ | | 3 / ------------ + ---------------- | | 10335549375*3 / ------------ + ---------------- | 13839609375*3 / ------------ + ---------------- | | | 3 / ------------- + ----------------- | | | 3 / ___ 3 ____ ___ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 3 ____ / ___\ 2/3 5/6 / ___\ 2/3 3 ___ / ___\ | / ___\ 3 ____ ___ / ___\ 3 ____ 3 / ___ 2/3 5/6 2/3 3 ___ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ | 10 8 11 9 6 2 3 7 4 5 | x + 1 -9594 - 274*x + 453*x + 888*x + 6920*x + 9768*x + 15954*x + 33984*x + 35904*x + 37908*x + 49314*x + 60900*x | / 54029 75507823*\/ 5 101 | | 100192 \/ 12106890281250 37834032128906250 6873353 \ \/ 12106890281250 37834032128906250 / | | / 54029 75507823*\/ 5 101 | | 2 | 252248605313585107564988112164872568149688380271830120*\/ 168840625 + 75507823*\/ 5 5810382214419861899686740509482800073996906181400000*\/ 50 112809005742138191191896907369219144385833901019953568*\/ 5 *\/ 168840625 + 75507823*\/ 5 83076448952983528000984443350382258829055272391826380*\/ 2 *\/ 5 31342535223212617854802857371884944897852851761109468*\/ 2 *5 91811772416153158440849745497210895072678733221875*\/ 20 *\168840625 + 75507823*\/ 5 / 82287650873752163370226060363545480610712135897676*2 *5 *\168840625 + 75507823*\/ 5 / 275812553478632960835901302436443121773080619909375*2 *\/ 5 *\168840625 + 75507823*\/ 5 / | 274813329929342121887389592333756868423395646694259027346856178482226848705741546985925410658572824178865144734412996139206531606487158071988202817999360*\168840625 + 75507823*\/ 5 / 4836259125990199315349580788400015317495732411207867831697245538550484197669972434025078063373799579809210920787634904264474964548469185831597232571746015625*\/ 20 122900257369017292432840529308427874874121192595055299159093165089886119577017984611199951676114672740543405913990798809912558020156510833182743972800000*\/ 5 *\168840625 + 75507823*\/ 5 / 3903767018976761624178375012555737688533140482751504617189136499017603690721092743587671492640650640068312007545514607798736995628834874443458948861093750*\/ 50 *\/ 168840625 + 75507823*\/ 5 30260225730239904317817423331578537614534241129176222211998625894005504990338694095948659849658510437555715601939352489728904906629307153099668147959607355648*2 *5 62827662621314440288255657420745287018530765220149365592183048476220473524856762945451888872679081009823598587533233937551041191270850097561904281667065016695*2 *\/ 5 33710995834440747158582722296741528703403446107459970797115507401305164653487574215592993505734693242662359896836245694404444089997781981757715026485359498*\/ 2 *5 *\/ 168840625 + 75507823*\/ 5 84109166697775507307260939125503751197991172197852941790764711804207782916357242980980515220233633881807375453274011855608206293205074360682299594306983680*\/ 2 *\/ 5 *\/ 168840625 + 75507823*\/ 5 | | \/ 448403343750 1401260449218750 101 | | 100192 \/ 448403343750 1401260449218750 6873353 \ \/ 448403343750 1401260449218750 / | | \/ 3587226750000 11210083593750000 101 | | 2 | 252248605313585107564988112164872568149688380271830120*\/ 168840625 + 75507823*\/ 5 5810382214419861899686740509482800073996906181400000*\/ 50 112809005742138191191896907369219144385833901019953568*\/ 5 *\/ 168840625 + 75507823*\/ 5 83076448952983528000984443350382258829055272391826380*\/ 2 *\/ 5 31342535223212617854802857371884944897852851761109468*\/ 2 *5 91811772416153158440849745497210895072678733221875*\/ 20 *\168840625 + 75507823*\/ 5 / 82287650873752163370226060363545480610712135897676*2 *5 *\168840625 + 75507823*\/ 5 / 275812553478632960835901302436443121773080619909375*2 *\/ 5 *\168840625 + 75507823*\/ 5 / | 274813329929342121887389592333756868423395646694259027346856178482226848705741546985925410658572824178865144734412996139206531606487158071988202817999360*\168840625 + 75507823*\/ 5 / 4836259125990199315349580788400015317495732411207867831697245538550484197669972434025078063373799579809210920787634904264474964548469185831597232571746015625*\/ 20 122900257369017292432840529308427874874121192595055299159093165089886119577017984611199951676114672740543405913990798809912558020156510833182743972800000*\/ 5 *\168840625 + 75507823*\/ 5 / 3903767018976761624178375012555737688533140482751504617189136499017603690721092743587671492640650640068312007545514607798736995628834874443458948861093750*\/ 50 *\/ 168840625 + 75507823*\/ 5 30260225730239904317817423331578537614534241129176222211998625894005504990338694095948659849658510437555715601939352489728904906629307153099668147959607355648*2 *5 62827662621314440288255657420745287018530765220149365592183048476220473524856762945451888872679081009823598587533233937551041191270850097561904281667065016695*2 *\/ 5 33710995834440747158582722296741528703403446107459970797115507401305164653487574215592993505734693242662359896836245694404444089997781981757715026485359498*\/ 2 *5 *\/ 168840625 + 75507823*\/ 5 84109166697775507307260939125503751197991172197852941790764711804207782916357242980980515220233633881807375453274011855608206293205074360682299594306983680*\/ 2 *\/ 5 *\/ 168840625 + 75507823*\/ 5 | 531 - 274*x + 453*x + 888*x + 6920*x + 9768*x + 15954*x + 33984*x + 35904*x + 37908*x + 49314*x + 60900*x | --------------- dx = C + -------------------------------------------------------------------------------------------------------------------------------------------------------- + |3 / -------------- + ----------------- - -----------------------------------------------------|*log|-------- + x - ----------------------------------------------------- + ------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------| + |3 / -------------- + ------------------ - -------------------------------------------------------|*log|x + x*|- 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+ |- -------------------------------------- + --------------------------------------------------|*log|-------- + x - -------------------------------------------------- + ---------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------| + |- ---------------------------------------- + ----------------------------------------------------|*log|x + x*|- ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 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- -------------------------------------------------------------------------------------------------------------------------------------------------------- | 5 12 9 10 7 2 8 5 3 6 4 |\/ 12106890281250 37834032128906250 ____________________________________| |75507823 75507823 ____________________________________ 75507823 | |\/ 96855122250000 302672257031250000 _____________________________________| | | ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________| 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________| | 3 _________________________________| |75507823 75507823 _________________________________ 75507823 | | 3 ___________________________________| | | ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________ ____________________________| 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________ 2/3 ____________________________ 2/3 ____________________________ ____________________________| 12 9 10 7 2 8 5 3 6 4 | / 3 \ 121500 + 121500*x + 486000*x + 1458000*x + 1458000*x + 4374000*x + 6561000*x + 6561000*x + 13122000*x + 13608000*x + 13851000*x + 14215500*x | / ___ | | / ___ | | / ___ | | | 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ | 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ | | / ___ | | / ___ | | / ___ | | | 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ 3 ____ 3 / ___ 3 ___ 6 ___ 3 ___ 2/3 ___ 3 / ___ | 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ 3 ____ / ___\ 2/3 3 ___ 2/3 5/6 3 ____ 3 / ___ ___ / ___\ 3 ___ 2/3 3 / ___ 3 ___ 6 ___ 3 / ___ | 121500 + 121500*x + 486000*x + 1458000*x + 1458000*x + 4374000*x + 6561000*x + 6561000*x + 13122000*x + 13608000*x + 13851000*x + 14215500*x | \x + 3*x + 1/ | / 54029 75507823*\/ 5 | | / 54029 75507823*\/ 5 | | / 54029 75507823*\/ 5 | \ \ - 6997028572938995335006075340597843504261711120605468750*\/ 50 + 167424134119914054431533398656418512583248563562500*\/ 168840625 + 75507823*\/ 5 - 125166652304655802787619835406805022035260533373488100000*\/ 2 *\/ 5 - 48979200040919223020298038137269359368040506542516159434*\/ 2 *5 + 74874348993233950453989478348811653528665997528516*\/ 5 *\/ 168840625 + 75507823*\/ 5 - 6997028572938995335006075340597843504261711120605468750*\/ 50 + 167424134119914054431533398656418512583248563562500*\/ 168840625 + 75507823*\/ 5 - 125166652304655802787619835406805022035260533373488100000*\/ 2 *\/ 5 - 48979200040919223020298038137269359368040506542516159434*\/ 2 *5 + 74874348993233950453989478348811653528665997528516*\/ 5 *\/ 168840625 + 75507823*\/ 5 - 6997028572938995335006075340597843504261711120605468750*\/ 50 + 167424134119914054431533398656418512583248563562500*\/ 168840625 + 75507823*\/ 5 - 125166652304655802787619835406805022035260533373488100000*\/ 2 *\/ 5 - 48979200040919223020298038137269359368040506542516159434*\/ 2 *5 + 74874348993233950453989478348811653528665997528516*\/ 5 *\/ 168840625 + 75507823*\/ 5 - 6997028572938995335006075340597843504261711120605468750*\/ 50 + 167424134119914054431533398656418512583248563562500*\/ 168840625 + 75507823*\/ 5 - 125166652304655802787619835406805022035260533373488100000*\/ 2 *\/ 5 - 48979200040919223020298038137269359368040506542516159434*\/ 2 *5 + 74874348993233950453989478348811653528665997528516*\/ 5 *\/ 168840625 + 75507823*\/ 5 - 6997028572938995335006075340597843504261711120605468750*\/ 50 + 167424134119914054431533398656418512583248563562500*\/ 168840625 + 75507823*\/ 5 - 125166652304655802787619835406805022035260533373488100000*\/ 2 *\/ 5 - 48979200040919223020298038137269359368040506542516159434*\/ 2 *5 + 74874348993233950453989478348811653528665997528516*\/ 5 *\/ 168840625 + 75507823*\/ 5 - 6997028572938995335006075340597843504261711120605468750*\/ 50 + 167424134119914054431533398656418512583248563562500*\/ 168840625 + 75507823*\/ 5 - 125166652304655802787619835406805022035260533373488100000*\/ 2 *\/ 5 - 48979200040919223020298038137269359368040506542516159434*\/ 2 *5 + 74874348993233950453989478348811653528665997528516*\/ 5 *\/ 168840625 + 75507823*\/ 5 - 6997028572938995335006075340597843504261711120605468750*\/ 50 + 167424134119914054431533398656418512583248563562500*\/ 168840625 + 75507823*\/ 5 - 125166652304655802787619835406805022035260533373488100000*\/ 2 *\/ 5 - 48979200040919223020298038137269359368040506542516159434*\/ 2 *5 + 74874348993233950453989478348811653528665997528516*\/ 5 *\/ 168840625 + 75507823*\/ 5 - 6997028572938995335006075340597843504261711120605468750*\/ 50 + 167424134119914054431533398656418512583248563562500*\/ 168840625 + 75507823*\/ 5 - 125166652304655802787619835406805022035260533373488100000*\/ 2 *\/ 5 - 48979200040919223020298038137269359368040506542516159434*\/ 2 *5 + 74874348993233950453989478348811653528665997528516*\/ 5 *\/ 168840625 + 75507823*\/ 5 / - 7381800778672073658649528127833221288909447638806323953764991605760773154916527642922478968917095150538105666913741040913290465197400059890747070312500000*\/ 20 + 275151572485760531420634389139251976273982829169497288338137288018599984731689009051252595585048040946978566112054707159551906399625801886594860405600000*\168840625 + 75507823*\/ 5 / - 75989125699579259401450742163417268534167565460586166381152793836093768690387790791244283514248021337254851341473947322532884206828048111968991685560300000*2 *\/ 5 - 37284611790501424569433680604328708966326383099162316664550072024911765483713239886402799983932490924944850374358865063413173169589254761005848875134029056*2 *5 + 2078010838371391118209215233267275989433556902227246671067034324674524998860988954011340484383681959607129237675039032612431976464928222656250000000*\/ 50 *\/ 168840625 + 75507823*\/ 5 + 123051524038824266735869574655586713573846568075256582944159555578301181424310499464875909813923205674805134569078904365050654011529220732883800500000000*\/ 5 *\168840625 + 75507823*\/ 5 / + 47794249305072934221534547328785122418311596381078388539724298775598086126239257174522495390064337864415584837964104113201953581203721814237788463744*\/ 2 *5 *\/ 168840625 + 75507823*\/ 5 + 111517763872294924130902044255786194688050536498756659063543352773147785230248176797604174588772455185653971999260299773340840355063502699319045600000*\/ 2 *\/ 5 *\/ 168840625 + 75507823*\/ 5 - 7381800778672073658649528127833221288909447638806323953764991605760773154916527642922478968917095150538105666913741040913290465197400059890747070312500000*\/ 20 + 275151572485760531420634389139251976273982829169497288338137288018599984731689009051252595585048040946978566112054707159551906399625801886594860405600000*\168840625 + 75507823*\/ 5 / - 75989125699579259401450742163417268534167565460586166381152793836093768690387790791244283514248021337254851341473947322532884206828048111968991685560300000*2 *\/ 5 - 37284611790501424569433680604328708966326383099162316664550072024911765483713239886402799983932490924944850374358865063413173169589254761005848875134029056*2 *5 + 2078010838371391118209215233267275989433556902227246671067034324674524998860988954011340484383681959607129237675039032612431976464928222656250000000*\/ 50 *\/ 168840625 + 75507823*\/ 5 + 123051524038824266735869574655586713573846568075256582944159555578301181424310499464875909813923205674805134569078904365050654011529220732883800500000000*\/ 5 *\168840625 + 75507823*\/ 5 / + 47794249305072934221534547328785122418311596381078388539724298775598086126239257174522495390064337864415584837964104113201953581203721814237788463744*\/ 2 *5 *\/ 168840625 + 75507823*\/ 5 + 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37284611790501424569433680604328708966326383099162316664550072024911765483713239886402799983932490924944850374358865063413173169589254761005848875134029056*2 *5 + 2078010838371391118209215233267275989433556902227246671067034324674524998860988954011340484383681959607129237675039032612431976464928222656250000000*\/ 50 *\/ 168840625 + 75507823*\/ 5 + 123051524038824266735869574655586713573846568075256582944159555578301181424310499464875909813923205674805134569078904365050654011529220732883800500000000*\/ 5 *\168840625 + 75507823*\/ 5 / + 47794249305072934221534547328785122418311596381078388539724298775598086126239257174522495390064337864415584837964104113201953581203721814237788463744*\/ 2 *5 *\/ 168840625 + 75507823*\/ 5 + 111517763872294924130902044255786194688050536498756659063543352773147785230248176797604174588772455185653971999260299773340840355063502699319045600000*\/ 2 *\/ 5 *\/ 168840625 + 75507823*\/ 5 - 7381800778672073658649528127833221288909447638806323953764991605760773154916527642922478968917095150538105666913741040913290465197400059890747070312500000*\/ 20 + 275151572485760531420634389139251976273982829169497288338137288018599984731689009051252595585048040946978566112054707159551906399625801886594860405600000*\168840625 + 75507823*\/ 5 / - 75989125699579259401450742163417268534167565460586166381152793836093768690387790791244283514248021337254851341473947322532884206828048111968991685560300000*2 *\/ 5 - 37284611790501424569433680604328708966326383099162316664550072024911765483713239886402799983932490924944850374358865063413173169589254761005848875134029056*2 *5 + 2078010838371391118209215233267275989433556902227246671067034324674524998860988954011340484383681959607129237675039032612431976464928222656250000000*\/ 50 *\/ 168840625 + 75507823*\/ 5 + 123051524038824266735869574655586713573846568075256582944159555578301181424310499464875909813923205674805134569078904365050654011529220732883800500000000*\/ 5 *\168840625 + 75507823*\/ 5 / + 47794249305072934221534547328785122418311596381078388539724298775598086126239257174522495390064337864415584837964104113201953581203721814237788463744*\/ 2 *5 *\/ 168840625 + 75507823*\/ 5 + 111517763872294924130902044255786194688050536498756659063543352773147785230248176797604174588772455185653971999260299773340840355063502699319045600000*\/ 2 *\/ 5 *\/ 168840625 + 75507823*\/ 5 - 7381800778672073658649528127833221288909447638806323953764991605760773154916527642922478968917095150538105666913741040913290465197400059890747070312500000*\/ 20 + 275151572485760531420634389139251976273982829169497288338137288018599984731689009051252595585048040946978566112054707159551906399625801886594860405600000*\168840625 + 75507823*\/ 5 / - 75989125699579259401450742163417268534167565460586166381152793836093768690387790791244283514248021337254851341473947322532884206828048111968991685560300000*2 *\/ 5 - 37284611790501424569433680604328708966326383099162316664550072024911765483713239886402799983932490924944850374358865063413173169589254761005848875134029056*2 *5 + 2078010838371391118209215233267275989433556902227246671067034324674524998860988954011340484383681959607129237675039032612431976464928222656250000000*\/ 50 *\/ 168840625 + 75507823*\/ 5 + 123051524038824266735869574655586713573846568075256582944159555578301181424310499464875909813923205674805134569078904365050654011529220732883800500000000*\/ 5 *\168840625 + 75507823*\/ 5 / + 47794249305072934221534547328785122418311596381078388539724298775598086126239257174522495390064337864415584837964104113201953581203721814237788463744*\/ 2 *5 *\/ 168840625 + 75507823*\/ 5 + 111517763872294924130902044255786194688050536498756659063543352773147785230248176797604174588772455185653971999260299773340840355063502699319045600000*\/ 2 *\/ 5 *\/ 168840625 + 75507823*\/ 5 - 7381800778672073658649528127833221288909447638806323953764991605760773154916527642922478968917095150538105666913741040913290465197400059890747070312500000*\/ 20 + 275151572485760531420634389139251976273982829169497288338137288018599984731689009051252595585048040946978566112054707159551906399625801886594860405600000*\168840625 + 75507823*\/ 5 / - 75989125699579259401450742163417268534167565460586166381152793836093768690387790791244283514248021337254851341473947322532884206828048111968991685560300000*2 *\/ 5 - 37284611790501424569433680604328708966326383099162316664550072024911765483713239886402799983932490924944850374358865063413173169589254761005848875134029056*2 *5 + 2078010838371391118209215233267275989433556902227246671067034324674524998860988954011340484383681959607129237675039032612431976464928222656250000000*\/ 50 *\/ 168840625 + 75507823*\/ 5 + 123051524038824266735869574655586713573846568075256582944159555578301181424310499464875909813923205674805134569078904365050654011529220732883800500000000*\/ 5 *\168840625 + 75507823*\/ 5 / + 47794249305072934221534547328785122418311596381078388539724298775598086126239257174522495390064337864415584837964104113201953581203721814237788463744*\/ 2 *5 *\/ 168840625 + 75507823*\/ 5 + 111517763872294924130902044255786194688050536498756659063543352773147785230248176797604174588772455185653971999260299773340840355063502699319045600000*\/ 2 *\/ 5 *\/ 168840625 + 75507823*\/ 5 / | | 41518828125*3 / -------------- + ----------------- | | 6880650370875*3 / -------------- + ----------------- | | 166075312500*3 / -------------- + ------------------ | | 13839609375*3 / ------------ + ---------------- | | 2293550123625*3 / ------------ + ---------------- | | 55358437500*3 / ------------- + ----------------- | / \ \/ 12106890281250 37834032128906250 / \ \/ 12106890281250 37834032128906250 / \ \/ 96855122250000 302672257031250000 / \ \/ 448403343750 1401260449218750 / \ \/ 448403343750 1401260449218750 / \ \/ 3587226750000 11210083593750000 /
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.