205:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento numérico y variacional:@0.608443:0.043660:0.931638:0.043660:0.931638:0.024915:0.608443:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1.3 Propiedades de la sumatoria:@0.073089:0.351721:0.324539:0.351721:0.324539:0.334774:0.073089:0.334774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dados :@0.073089:0.396091:0.155535:0.396091:0.155535:0.380378:0.073089:0.380378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.123580:0.396091:0.133078:0.396091:0.133078:0.380655:0.123580:0.380655:0.000000 [:@0.136956:0.395801:0.151592:0.395801:0.151592:0.382391:0.136956:0.382391:0.000000 Z:@0.155462:0.395231:0.167739:0.395231:0.167739:0.382334:0.155462:0.382334:0.000000 1:@0.167641:0.388443:0.176580:0.388443:0.176580:0.380447:0.167641:0.380447:0.000000 , , , 1, …, , . Se verifican las siguientes propiedades.:@0.176526:0.396091:0.677667:0.396091:0.677667:0.380378:0.176526:0.380378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v w:@0.183595:0.396091:0.213127:0.396091:0.213127:0.380655:0.183595:0.380655:0.000000:0.000000:0.000000 j:@0.191264:0.399263:0.193378:0.399263:0.193378:0.390264:0.191264:0.390264:0.000000 j:@0.213065:0.399263:0.215179:0.399263:0.215179:0.390264:0.213065:0.390264:0.000000 [:@0.219091:0.395801:0.233727:0.395801:0.233727:0.382391:0.219091:0.382391:0.000000 R:@0.237597:0.395231:0.250887:0.395231:0.250887:0.382334:0.237597:0.382334:0.000000 j:@0.257863:0.396091:0.261489:0.396091:0.261489:0.380655:0.257863:0.380655:0.000000 5:@0.265373:0.395536:0.280706:0.395536:0.280706:0.381820:0.265373:0.381820:0.000000 n:@0.325933:0.396091:0.335431:0.396091:0.335431:0.380655:0.325933:0.380655:0.000000 a:@0.342426:0.395536:0.353673:0.395536:0.353673:0.381820:0.342426:0.381820:0.000000 [:@0.357545:0.395801:0.372181:0.395801:0.372181:0.382391:0.357545:0.382391:0.000000 R:@0.376051:0.395231:0.389341:0.395231:0.389341:0.382334:0.376051:0.382334:0.000000 i. :@0.104633:0.440460:0.115567:0.440460:0.115567:0.424748:0.104633:0.424748:0.000000:0.000000:0.000000 ^:@0.134834:0.446155:0.152957:0.446155:0.152957:0.422081:0.134834:0.422081:0.000000 n:@0.142381:0.426303:0.148425:0.426303:0.148425:0.416481:0.142381:0.416481:0.000000 j:@0.136372:0.453370:0.138679:0.453370:0.138679:0.443548:0.136372:0.443548:0.000000 5:@0.138633:0.453017:0.148390:0.453017:0.148390:0.444289:0.138633:0.444289:0.000000 1:@0.148332:0.453370:0.154048:0.453370:0.154048:0.443371:0.148332:0.443371:0.000000 ( ) :@0.153976:0.440460:0.234400:0.440460:0.234400:0.424748:0.153976:0.424748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.158780:0.440460:0.166511:0.440460:0.166511:0.425025:0.158780:0.425025:0.000000 j:@0.166438:0.443633:0.168552:0.443633:0.168552:0.434634:0.166438:0.434634:0.000000 1:@0.172472:0.439905:0.187805:0.439905:0.187805:0.426190:0.172472:0.426190:0.000000 w:@0.191671:0.440460:0.204390:0.440460:0.204390:0.425025:0.191671:0.425025:0.000000 j:@0.204310:0.443633:0.206424:0.443633:0.206424:0.434634:0.204310:0.434634:0.000000 5:@0.215128:0.439905:0.230461:0.439905:0.230461:0.426190:0.215128:0.426190:0.000000 ^:@0.234324:0.446155:0.252446:0.446155:0.252446:0.422081:0.234324:0.422081:0.000000 n:@0.241870:0.426303:0.247915:0.426303:0.247915:0.416481:0.241870:0.416481:0.000000 j:@0.235861:0.453370:0.238169:0.453370:0.238169:0.443548:0.235861:0.443548:0.000000 5:@0.238122:0.453017:0.247880:0.453017:0.247880:0.444289:0.238122:0.444289:0.000000 1:@0.247821:0.453370:0.253537:0.453370:0.253537:0.443371:0.247821:0.443371:0.000000 :@0.253465:0.440460:0.290387:0.440460:0.290387:0.424748:0.253465:0.424748:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.257423:0.440460:0.265154:0.440460:0.265154:0.425025:0.257423:0.425025:0.000000 j:@0.265080:0.443633:0.267195:0.443633:0.267195:0.434634:0.265080:0.434634:0.000000 1:@0.271115:0.439905:0.286448:0.439905:0.286448:0.426190:0.271115:0.426190:0.000000 ^:@0.290298:0.446155:0.308421:0.446155:0.308421:0.422081:0.290298:0.422081:0.000000 n:@0.297845:0.426303:0.303890:0.426303:0.303890:0.416481:0.297845:0.416481:0.000000 j:@0.291836:0.453370:0.294144:0.453370:0.294144:0.443548:0.291836:0.443548:0.000000 5:@0.294097:0.453017:0.303854:0.453017:0.303854:0.444289:0.294097:0.444289:0.000000 1:@0.303796:0.453370:0.309512:0.453370:0.309512:0.443371:0.303796:0.443371:0.000000 .:@0.309440:0.440460:0.331321:0.440460:0.331321:0.424748:0.309440:0.424748:0.000000:0.000000:0.000000 w:@0.313398:0.440460:0.326117:0.440460:0.326117:0.425025:0.313398:0.425025:0.000000 j:@0.326044:0.443633:0.328158:0.443633:0.328158:0.434634:0.326044:0.434634:0.000000 ii. :@0.104633:0.484830:0.119340:0.484830:0.119340:0.469117:0.104633:0.469117:0.000000:0.000000:0.000000:0.000000 ^:@0.134834:0.490524:0.152957:0.490524:0.152957:0.466450:0.134834:0.466450:0.000000 n:@0.142381:0.470673:0.148425:0.470673:0.148425:0.460850:0.142381:0.460850:0.000000 j:@0.136372:0.497740:0.138679:0.497740:0.138679:0.487917:0.136372:0.487917:0.000000 5:@0.138633:0.497387:0.148390:0.497387:0.148390:0.488658:0.138633:0.488658:0.000000 1:@0.148332:0.497740:0.154048:0.497740:0.154048:0.487741:0.148332:0.487741:0.000000 (:@0.153976:0.484830:0.162811:0.484830:0.162811:0.469117:0.153976:0.469117:0.000000:0.000000 a :@0.162724:0.484142:0.177765:0.484142:0.177765:0.471050:0.162724:0.471050:0.000000:0.000000 v:@0.177676:0.484830:0.185407:0.484830:0.185407:0.469394:0.177676:0.469394:0.000000 j:@0.185342:0.488002:0.187456:0.488002:0.187456:0.479003:0.185342:0.479003:0.000000 ) :@0.187954:0.484830:0.230572:0.484830:0.230572:0.469117:0.187954:0.469117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.196697:0.484275:0.212031:0.484275:0.212031:0.470559:0.196697:0.470559:0.000000 a:@0.215893:0.484142:0.226628:0.484142:0.226628:0.471050:0.215893:0.471050:0.000000 ^:@0.230491:0.490524:0.248614:0.490524:0.248614:0.466450:0.230491:0.466450:0.000000 n:@0.238038:0.470673:0.244083:0.470673:0.244083:0.460850:0.238038:0.460850:0.000000 j:@0.232029:0.497740:0.234337:0.497740:0.234337:0.487917:0.232029:0.487917:0.000000 5:@0.234290:0.497387:0.244048:0.497387:0.244048:0.488658:0.234290:0.488658:0.000000 1:@0.243989:0.497740:0.249705:0.497740:0.249705:0.487741:0.243989:0.487741:0.000000 .:@0.249632:0.484830:0.267278:0.484830:0.267278:0.469117:0.249632:0.469117:0.000000:0.000000:0.000000 v:@0.253589:0.484830:0.261320:0.484830:0.261320:0.469394:0.253589:0.469394:0.000000 j:@0.261248:0.488002:0.263362:0.488002:0.263362:0.479003:0.261248:0.479003:0.000000 iii. :@0.104633:0.529198:0.123114:0.529198:0.123114:0.513485:0.104633:0.513485:0.000000:0.000000:0.000000:0.000000:0.000000 ^:@0.134834:0.534894:0.152957:0.534894:0.152957:0.510820:0.134834:0.510820:0.000000 n:@0.142381:0.515042:0.148425:0.515042:0.148425:0.505220:0.142381:0.505220:0.000000 j:@0.136372:0.542109:0.138679:0.542109:0.138679:0.532287:0.136372:0.532287:0.000000 5:@0.138633:0.541756:0.148390:0.541756:0.148390:0.533028:0.138633:0.533028:0.000000 1:@0.148332:0.542109:0.154048:0.542109:0.154048:0.532110:0.148332:0.532110:0.000000 (:@0.153976:0.529198:0.158854:0.529198:0.158854:0.513485:0.153976:0.513485:0.000000 v:@0.158780:0.529198:0.166511:0.529198:0.166511:0.513762:0.158780:0.513762:0.000000 j:@0.166438:0.532370:0.168552:0.532370:0.168552:0.523371:0.166438:0.523371:0.000000 1:@0.169045:0.532047:0.177985:0.532047:0.177985:0.524050:0.169045:0.524050:0.000000 1:@0.177931:0.532370:0.183168:0.532370:0.183168:0.523210:0.177931:0.523210:0.000000 ) .:@0.183126:0.529198:0.296848:0.529198:0.296848:0.513485:0.183126:0.513485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.187084:0.528643:0.202417:0.528643:0.202417:0.514927:0.187084:0.514927:0.000000 v:@0.206283:0.529198:0.214014:0.529198:0.214014:0.513762:0.206283:0.513762:0.000000 j:@0.213933:0.532370:0.216047:0.532370:0.216047:0.523371:0.213933:0.523371:0.000000 5:@0.225289:0.528643:0.240622:0.528643:0.240622:0.514927:0.225289:0.514927:0.000000 v:@0.244488:0.529198:0.252219:0.529198:0.252219:0.513762:0.244488:0.513762:0.000000 n:@0.252148:0.532370:0.257686:0.532370:0.257686:0.523371:0.252148:0.523371:0.000000 2:@0.261605:0.528643:0.276938:0.528643:0.276938:0.514927:0.261605:0.514927:0.000000 v:@0.280803:0.529198:0.288535:0.529198:0.288535:0.513762:0.280803:0.513762:0.000000 1:@0.288456:0.532370:0.293693:0.532370:0.293693:0.523210:0.288456:0.523210:0.000000 Las expresiones más usadas en el cálculo de integrales definidas son::@0.073089:0.573562:0.570249:0.573562:0.570249:0.557849:0.073089:0.557849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Para todo :@0.073089:0.617937:0.208517:0.617937:0.208517:0.602224:0.073089:0.602224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.176551:0.617937:0.186049:0.617937:0.186049:0.602501:0.176551:0.602501:0.000000 [:@0.189937:0.617647:0.204573:0.617647:0.204573:0.604237:0.189937:0.604237:0.000000 Z:@0.208443:0.617077:0.220721:0.617077:0.220721:0.604179:0.208443:0.604179:0.000000 1:@0.220622:0.610288:0.229561:0.610288:0.229561:0.602292:0.220622:0.602292:0.000000 y , :@0.229507:0.617937:0.297435:0.617937:0.297435:0.602224:0.229507:0.602224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.245430:0.617937:0.254689:0.617937:0.254689:0.602501:0.245430:0.602501:0.000000 [:@0.258571:0.617647:0.273207:0.617647:0.273207:0.604237:0.258571:0.604237:0.000000 R:@0.277077:0.617077:0.290367:0.617077:0.290367:0.604179:0.277077:0.604179:0.000000 ^:@0.297340:0.623633:0.315463:0.623633:0.315463:0.599559:0.297340:0.599559:0.000000 n:@0.304887:0.603781:0.310931:0.603781:0.310931:0.593958:0.304887:0.593958:0.000000 j:@0.298878:0.630857:0.301185:0.630857:0.301185:0.621034:0.298878:0.621034:0.000000 5:@0.301138:0.630504:0.310896:0.630504:0.310896:0.621775:0.301138:0.621775:0.000000 1:@0.310837:0.630857:0.316554:0.630857:0.316554:0.620858:0.310837:0.620858:0.000000 :@0.316482:0.617937:0.352855:0.617937:0.352855:0.602224:0.316482:0.602224:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.320439:0.617937:0.329698:0.617937:0.329698:0.602501:0.320439:0.602501:0.000000 5:@0.333582:0.617382:0.348915:0.617382:0.348915:0.603666:0.333582:0.603666:0.000000 an:@0.352781:0.617937:0.371464:0.617937:0.371464:0.602501:0.352781:0.602501:0.000000:0.000000 . Nota que :@0.371409:0.617937:0.450229:0.617937:0.450229:0.602224:0.371409:0.602224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ^:@0.450062:0.623633:0.468184:0.623633:0.468184:0.599559:0.450062:0.599559:0.000000 n:@0.457609:0.603781:0.463653:0.603781:0.463653:0.593958:0.457609:0.593958:0.000000 j:@0.451599:0.630857:0.453907:0.630857:0.453907:0.621034:0.451599:0.621034:0.000000 5:@0.453860:0.630504:0.463618:0.630504:0.463618:0.621775:0.453860:0.621775:0.000000 1:@0.463559:0.630857:0.469275:0.630857:0.469275:0.620858:0.463559:0.620858:0.000000 1 . :@0.469202:0.617937:0.517907:0.617937:0.517907:0.602224:0.469202:0.602224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.482050:0.617382:0.497383:0.617382:0.497383:0.603666:0.482050:0.603666:0.000000 n:@0.501249:0.617937:0.510747:0.617937:0.510747:0.602501:0.501249:0.602501:0.000000 2. Sea , calculemos la suma de los primeros números naturales: :@0.073089:0.662306:0.592133:0.662306:0.592133:0.646593:0.073089:0.646593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.132356:0.662306:0.141854:0.662306:0.141854:0.646871:0.132356:0.646871:0.000000 [:@0.145378:0.662016:0.160014:0.662016:0.160014:0.648606:0.145378:0.648606:0.000000 N:@0.163524:0.661446:0.177845:0.661446:0.177845:0.648549:0.163524:0.648549:0.000000 n:@0.372391:0.662306:0.381889:0.662306:0.381889:0.646871:0.372391:0.646871:0.000000 S:@0.286429:0.706670:0.294492:0.706670:0.294492:0.691235:0.286429:0.691235:0.000000 n:@0.294438:0.709848:0.299976:0.709848:0.299976:0.700849:0.294438:0.700849:0.000000 :@0.299937:0.706675:0.323167:0.706675:0.323167:0.690963:0.299937:0.690963:0.000000:0.000000:0.000000 5:@0.303895:0.706121:0.319228:0.706121:0.319228:0.692405:0.303895:0.692405:0.000000 ^:@0.323080:0.712371:0.341203:0.712371:0.341203:0.688297:0.323080:0.688297:0.000000 n:@0.330627:0.692520:0.336671:0.692520:0.336671:0.682697:0.330627:0.682697:0.000000 j:@0.324618:0.719595:0.326925:0.719595:0.326925:0.709773:0.324618:0.709773:0.000000 5:@0.326879:0.719242:0.336636:0.719242:0.336636:0.710514:0.326879:0.710514:0.000000 0:@0.336577:0.719595:0.342294:0.719595:0.342294:0.709596:0.336577:0.709596:0.000000 0 1 2 … .:@0.342220:0.706675:0.523127:0.706675:0.523127:0.690963:0.342220:0.690963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.346178:0.706675:0.349804:0.706675:0.349804:0.691240:0.346178:0.691240:0.000000 5 1 1 1:@0.353688:0.706121:0.465162:0.706121:0.465162:0.692405:0.353688:0.692405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.491300:0.706121:0.506634:0.706121:0.506634:0.692405:0.491300:0.692405:0.000000 n:@0.510499:0.706675:0.519997:0.706675:0.519997:0.691240:0.510499:0.691240:0.000000 Para , se tiene ( 1) 2 1 2 1. :@0.103220:0.751040:0.533063:0.751045:0.533063:0.735332:0.103220:0.735327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.137679:0.751040:0.141305:0.751040:0.141305:0.735604:0.137679:0.735604:0.000000 [:@0.144812:0.750755:0.159449:0.750755:0.159449:0.737345:0.144812:0.737345:0.000000 N:@0.162959:0.750185:0.177279:0.750185:0.177279:0.737287:0.162959:0.737287:0.000000 j:@0.249252:0.751045:0.252878:0.751045:0.252878:0.735609:0.249252:0.735609:0.000000 1:@0.256762:0.750490:0.272095:0.750490:0.272095:0.736774:0.256762:0.736774:0.000000 2:@0.289652:0.744981:0.294889:0.744981:0.294889:0.735820:0.289652:0.735820:0.000000 2 5 1:@0.298799:0.750490:0.377915:0.750490:0.377915:0.736774:0.298799:0.736774:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.317998:0.751045:0.321624:0.751045:0.321624:0.735609:0.317998:0.735609:0.000000 2:@0.321544:0.744981:0.326781:0.744981:0.326781:0.735820:0.321544:0.735820:0.000000 j:@0.349889:0.751045:0.353515:0.751045:0.353515:0.735609:0.349889:0.735609:0.000000 2:@0.353435:0.744981:0.358672:0.744981:0.358672:0.735820:0.353435:0.735820:0.000000 j:@0.390671:0.751045:0.394298:0.751045:0.394298:0.735609:0.390671:0.735609:0.000000 1 2 5:@0.398182:0.750490:0.477455:0.750490:0.477455:0.736774:0.398182:0.736774:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.449427:0.751045:0.453054:0.751045:0.453054:0.735609:0.449427:0.735609:0.000000 2:@0.452975:0.744981:0.458212:0.744981:0.458212:0.735820:0.452975:0.735820:0.000000 j:@0.490211:0.751045:0.493837:0.751045:0.493837:0.735609:0.490211:0.735609:0.000000 1:@0.497721:0.750490:0.513055:0.750490:0.513055:0.736774:0.497721:0.736774:0.000000 Por la propiedad iii), se obtiene::@0.103217:0.795409:0.329501:0.795409:0.329501:0.779696:0.103217:0.779696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.303470:0.839773:0.307501:0.839773:0.307501:0.824061:0.303470:0.824061:0.000000 ^:@0.307414:0.845480:0.325536:0.845480:0.325536:0.821406:0.307414:0.821406:0.000000 n:@0.314959:0.825628:0.321003:0.825628:0.321003:0.815805:0.314959:0.815805:0.000000 j:@0.308950:0.852695:0.311257:0.852695:0.311257:0.842872:0.308950:0.842872:0.000000 5:@0.311211:0.852342:0.320968:0.852342:0.320968:0.843614:0.311211:0.843614:0.000000 0:@0.320910:0.852695:0.326626:0.852695:0.326626:0.842696:0.320910:0.842696:0.000000 [( 1) ] ( 1) ,:@0.326554:0.839784:0.506088:0.839784:0.506088:0.824071:0.326554:0.824071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.341206:0.839784:0.344832:0.839784:0.344832:0.824348:0.341206:0.824348:0.000000 1:@0.348716:0.839229:0.364049:0.839229:0.364049:0.825513:0.348716:0.825513:0.000000 2:@0.381605:0.833720:0.386842:0.833720:0.386842:0.824559:0.381605:0.824559:0.000000 2:@0.390752:0.839229:0.406085:0.839229:0.406085:0.825513:0.390752:0.825513:0.000000 j:@0.409950:0.839784:0.413577:0.839784:0.413577:0.824348:0.409950:0.824348:0.000000 2:@0.413496:0.833720:0.418733:0.833720:0.418733:0.824559:0.413496:0.824559:0.000000 5:@0.427429:0.839229:0.442762:0.839229:0.442762:0.825513:0.427429:0.825513:0.000000 n:@0.451414:0.839784:0.460912:0.839784:0.460912:0.824348:0.451414:0.824348:0.000000 1:@0.464796:0.839229:0.480129:0.839229:0.480129:0.825513:0.464796:0.825513:0.000000 2:@0.497696:0.833720:0.502933:0.833720:0.502933:0.824559:0.497696:0.824559:0.000000 y por las propiedades i) y ii), resulta que:@0.103209:0.884148:0.387273:0.884148:0.387273:0.868435:0.103209:0.868435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( 1) :@0.103209:0.928512:0.182700:0.928522:0.182700:0.912809:0.103209:0.912800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.108013:0.928512:0.117511:0.928512:0.117511:0.913077:0.108013:0.913077:0.000000 1:@0.121395:0.927957:0.136728:0.927957:0.136728:0.914242:0.121395:0.914242:0.000000 2:@0.154280:0.922458:0.159517:0.922458:0.159517:0.913298:0.154280:0.913298:0.000000 5:@0.163427:0.927967:0.178760:0.927967:0.178760:0.914252:0.163427:0.914252:0.000000 ^:@0.182613:0.934218:0.200735:0.934218:0.200735:0.910144:0.182613:0.910144:0.000000 n:@0.190159:0.914366:0.196204:0.914366:0.196204:0.904544:0.190159:0.904544:0.000000 j:@0.184150:0.941433:0.186458:0.941433:0.186458:0.931611:0.184150:0.931611:0.000000 5:@0.186411:0.941080:0.196169:0.941080:0.196169:0.932352:0.186411:0.932352:0.000000 0:@0.196110:0.941433:0.201826:0.941433:0.201826:0.931434:0.196110:0.931434:0.000000 [( 1) ] :@0.201753:0.928522:0.321902:0.928522:0.321902:0.912809:0.201753:0.912809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.216405:0.928522:0.220031:0.928522:0.220031:0.913087:0.216405:0.913087:0.000000 1:@0.223915:0.927967:0.239248:0.927967:0.239248:0.914252:0.223915:0.914252:0.000000 2:@0.256804:0.922458:0.262041:0.922458:0.262041:0.913298:0.256804:0.913298:0.000000 2:@0.265952:0.927967:0.281285:0.927967:0.281285:0.914252:0.265952:0.914252:0.000000 j:@0.285151:0.928522:0.288777:0.928522:0.288777:0.913087:0.285151:0.913087:0.000000 2:@0.288695:0.922458:0.293932:0.922458:0.293932:0.913298:0.288695:0.913298:0.000000 5:@0.302629:0.927967:0.317963:0.927967:0.317963:0.914252:0.302629:0.914252:0.000000 ^:@0.321825:0.934218:0.339948:0.934218:0.339948:0.910144:0.321825:0.910144:0.000000 n:@0.329372:0.914366:0.335416:0.914366:0.335416:0.904544:0.329372:0.904544:0.000000 j:@0.323363:0.941433:0.325670:0.941433:0.325670:0.931611:0.323363:0.931611:0.000000 5:@0.325623:0.941080:0.335381:0.941080:0.335381:0.932352:0.325623:0.932352:0.000000 0:@0.335331:0.941437:0.341047:0.941437:0.341047:0.931438:0.335331:0.931438:0.000000 (2 1) 2 :@0.340967:0.928522:0.436206:0.928522:0.436206:0.912809:0.340967:0.912809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.359724:0.928522:0.363350:0.928522:0.363350:0.913087:0.359724:0.913087:0.000000 1:@0.367234:0.927967:0.382567:0.927967:0.382567:0.914252:0.367234:0.914252:0.000000 5:@0.404067:0.927967:0.419400:0.927967:0.419400:0.914252:0.404067:0.914252:0.000000 ^:@0.436116:0.934218:0.454238:0.934218:0.454238:0.910144:0.436116:0.910144:0.000000 n:@0.443663:0.914366:0.449707:0.914366:0.449707:0.904544:0.443663:0.904544:0.000000 j:@0.437653:0.941433:0.439961:0.941433:0.439961:0.931611:0.437653:0.931611:0.000000 5:@0.439914:0.941080:0.449672:0.941080:0.449672:0.932352:0.439914:0.932352:0.000000 0:@0.449613:0.941433:0.455329:0.941433:0.455329:0.931434:0.449613:0.931434:0.000000 :@0.455257:0.928522:0.485998:0.928522:0.485998:0.912809:0.455257:0.912809:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.459215:0.928522:0.462841:0.928522:0.462841:0.913087:0.459215:0.913087:0.000000 1:@0.466725:0.927967:0.482058:0.927967:0.482058:0.914252:0.466725:0.914252:0.000000 ^:@0.485909:0.934218:0.504032:0.934218:0.504032:0.910144:0.485909:0.910144:0.000000 n:@0.493456:0.914366:0.499500:0.914366:0.499500:0.904544:0.493456:0.904544:0.000000 j:@0.487447:0.941433:0.489754:0.941433:0.489754:0.931611:0.487447:0.931611:0.000000 5:@0.489707:0.941080:0.499465:0.941080:0.499465:0.932352:0.489707:0.932352:0.000000 0:@0.499406:0.941433:0.505123:0.941433:0.505123:0.931434:0.499406:0.931434:0.000000 1 2 :@0.505051:0.928522:0.553996:0.928522:0.553996:0.912809:0.505051:0.912809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.521857:0.927967:0.537190:0.927967:0.537190:0.914252:0.521857:0.914252:0.000000 ^:@0.553897:0.934218:0.572020:0.934218:0.572020:0.910144:0.553897:0.910144:0.000000 n:@0.561444:0.914366:0.567488:0.914366:0.567488:0.904544:0.561444:0.904544:0.000000 j:@0.555435:0.941433:0.557742:0.941433:0.557742:0.931611:0.555435:0.931611:0.000000 5:@0.557695:0.941080:0.567453:0.941080:0.567453:0.932352:0.557695:0.932352:0.000000 0:@0.567394:0.941433:0.573111:0.941433:0.573111:0.931434:0.567394:0.931434:0.000000 :@0.573039:0.928522:0.577070:0.928522:0.577070:0.912809:0.573039:0.912809:0.000000 j + n:@0.576996:0.928522:0.607423:0.928522:0.607423:0.913087:0.576996:0.913087:0.000000:0.000000:0.000000:0.000000:0.000000 1,:@0.607387:0.928522:0.642655:0.928522:0.642655:0.912809:0.607387:0.912809:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.611344:0.927967:0.626677:0.927967:0.626677:0.914252:0.611344:0.914252:0.000000 Imagina que tienes una pequeña tienda y, durante una hora, vendes cinco artículos :@0.107479:0.207105:0.693334:0.207105:0.693334:0.192107:0.107479:0.192107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 por minuto. Si quisieras saber cuántos artículos vendiste en total durante esa hora, :@0.107479:0.222990:0.684477:0.222990:0.684477:0.207992:0.107479:0.207992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿cómo lo harías?:@0.107479:0.238876:0.223462:0.238876:0.223462:0.223877:0.107479:0.223877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Piensa en la cantidad de artículos vendidos cada minuto, y luego usa la integral para :@0.107479:0.261910:0.698323:0.261910:0.698323:0.246911:0.107479:0.246911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sumar todo lo que vendiste durante la hora completa.:@0.107479:0.277795:0.484032:0.277795:0.484032:0.262797:0.107479:0.262797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Reto matemático:@0.082198:0.140818:0.216920:0.140818:0.216920:0.123871:0.082198:0.123871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aunque el símbolo :@0.747020:0.439488:0.876138:0.436941:0.875642:0.422661:0.746523:0.425209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sumatorio ya fue :@0.747546:0.454612:0.861684:0.452360:0.861187:0.438081:0.747049:0.440333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tratado en unidades :@0.748071:0.469736:0.884891:0.467036:0.884395:0.452757:0.747575:0.455456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 anteriores, volvemos :@0.748597:0.484860:0.887919:0.482111:0.887423:0.467831:0.748101:0.470580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a revisar algunos :@0.749123:0.499983:0.862612:0.497744:0.862115:0.483465:0.748626:0.485704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 resultados importantes. :@0.749648:0.515107:0.908588:0.511971:0.908091:0.497692:0.749152:0.500828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Supongamos que se :@0.750174:0.530231:0.889787:0.527476:0.889291:0.513197:0.749678:0.515952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tiene números reales :@0.750700:0.545355:0.907744:0.542256:0.907248:0.527977:0.750204:0.531075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.787786:0.544623:0.796418:0.544453:0.795930:0.530426:0.787298:0.530596:0.000000 z:@0.751225:0.560479:0.757800:0.560349:0.757312:0.546322:0.750738:0.546451:0.000000 1:@0.757839:0.563233:0.762599:0.563139:0.762309:0.554814:0.757550:0.554908:0.000000 , … . A la suma: :@0.762455:0.560256:0.877655:0.557984:0.877159:0.543705:0.761959:0.545977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 z:@0.789120:0.559730:0.795694:0.559601:0.795206:0.545573:0.788632:0.545703:0.000000 n:@0.795742:0.562485:0.800774:0.562386:0.800490:0.554208:0.795457:0.554307:0.000000 z:@0.751749:0.575602:0.758323:0.575473:0.757836:0.561445:0.751262:0.561575:0.000000 1:@0.758365:0.578357:0.763124:0.578263:0.762835:0.569938:0.758076:0.570032:0.000000 … la :@0.762981:0.575380:0.865047:0.573366:0.864551:0.559087:0.762484:0.561101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.766560:0.574805:0.780494:0.574530:0.780061:0.562066:0.766126:0.562341:0.000000 z:@0.784025:0.574965:0.790599:0.574835:0.790111:0.560808:0.783537:0.560938:0.000000 2:@0.790626:0.577720:0.795385:0.577626:0.795096:0.569301:0.790337:0.569395:0.000000 1:@0.798821:0.574168:0.812755:0.573894:0.812322:0.561429:0.798388:0.561704:0.000000 z:@0.836527:0.573929:0.843101:0.573799:0.842613:0.559772:0.836039:0.559902:0.000000 n :@0.843132:0.576684:0.850456:0.576539:0.850167:0.568214:0.842843:0.568359:0.000000:0.000000 expresamos en forma :@0.752273:0.590725:0.898557:0.587839:0.898061:0.573560:0.751777:0.576446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 abreviada como: :@0.752799:0.605849:0.866152:0.603613:0.865656:0.589333:0.752302:0.591570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ^:@0.753840:0.635690:0.767125:0.635428:0.766512:0.617780:0.753227:0.618042:0.000000 n:@0.756937:0.621115:0.762979:0.620996:0.762638:0.611177:0.756596:0.611296:0.000000 j:@0.754608:0.644115:0.756914:0.644069:0.756573:0.634250:0.754266:0.634296:0.000000 5:@0.756855:0.643717:0.766609:0.643525:0.766306:0.634800:0.756552:0.634992:0.000000 1:@0.766563:0.643879:0.772277:0.643766:0.771930:0.633771:0.766216:0.633883:0.000000 , que se lee “suma :@0.771828:0.632803:0.903836:0.630199:0.903339:0.615919:0.771331:0.618524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 z:@0.775424:0.632732:0.781999:0.632603:0.781511:0.618575:0.774937:0.618705:0.000000 j:@0.782033:0.635487:0.783955:0.635449:0.783670:0.627272:0.781749:0.627309:0.000000 de los con que :@0.792212:0.647535:0.912416:0.645163:0.911919:0.630884:0.791716:0.633256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 z:@0.834919:0.646692:0.841494:0.646563:0.841006:0.632535:0.834432:0.632665:0.000000 j:@0.841537:0.649448:0.843459:0.649410:0.843174:0.641232:0.841253:0.641270:0.000000 j:@0.875999:0.645882:0.879294:0.645817:0.878806:0.631790:0.875511:0.631855:0.000000 varía de 1 a ”. :@0.792733:0.662659:0.888569:0.660768:0.888072:0.646489:0.792236:0.648380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.870703:0.661121:0.879335:0.660950:0.878847:0.646923:0.870215:0.647093:0.000000 Es decir::@0.755567:0.685677:0.809041:0.684622:0.808544:0.670343:0.755071:0.671398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ^:@0.756614:0.715518:0.769900:0.715256:0.769286:0.697608:0.756001:0.697870:0.000000 n:@0.759711:0.700942:0.765754:0.700823:0.765412:0.691004:0.759370:0.691123:0.000000 j:@0.757382:0.723941:0.759689:0.723896:0.759348:0.714077:0.757041:0.714122:0.000000 5:@0.759630:0.723544:0.769384:0.723351:0.769081:0.714626:0.759326:0.714819:0.000000 1:@0.769338:0.723705:0.775052:0.723593:0.774705:0.713597:0.768990:0.713710:0.000000 z:@0.774602:0.712631:0.781176:0.712502:0.780689:0.698474:0.774115:0.698604:0.000000 j:@0.781217:0.715385:0.783138:0.715347:0.782854:0.707169:0.780932:0.707207:0.000000 … .:@0.783393:0.712457:0.921242:0.709737:0.920745:0.695458:0.782896:0.698178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.786972:0.711882:0.800906:0.711607:0.800473:0.699143:0.786538:0.699418:0.000000 z:@0.804437:0.712042:0.811011:0.711912:0.810523:0.697885:0.803949:0.698015:0.000000 1:@0.811038:0.714797:0.815797:0.714703:0.815508:0.706378:0.810749:0.706472:0.000000 1:@0.819233:0.711246:0.833167:0.710971:0.832734:0.698506:0.818799:0.698781:0.000000 z:@0.836698:0.711405:0.843272:0.711276:0.842784:0.697248:0.836210:0.697378:0.000000 2:@0.843299:0.714160:0.848058:0.714066:0.847769:0.705742:0.843010:0.705836:0.000000 1:@0.851494:0.710609:0.865429:0.710334:0.864995:0.697869:0.851061:0.698144:0.000000 1:@0.889183:0.709865:0.903117:0.709590:0.902684:0.697126:0.888749:0.697401:0.000000 z:@0.906648:0.710025:0.913222:0.709895:0.912734:0.695868:0.906160:0.695998:0.000000 n:@0.913247:0.712780:0.918474:0.712677:0.918185:0.704352:0.912958:0.704455:0.000000 Al símbolo se le llama :@0.757293:0.735257:0.919072:0.732065:0.918575:0.717786:0.756797:0.720978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ^:@0.831184:0.734329:0.843261:0.734091:0.842704:0.718047:0.830626:0.718285:0.000000 sumatorio; a se le llama :@0.757819:0.750381:0.927239:0.747037:0.926743:0.732758:0.757323:0.736101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 z:@0.842531:0.748709:0.849105:0.748580:0.848617:0.734552:0.842043:0.734682:0.000000 j:@0.849151:0.751463:0.851072:0.751425:0.850788:0.743248:0.848867:0.743285:0.000000 término general de la :@0.758359:0.765503:0.903680:0.762636:0.903184:0.748357:0.757863:0.751224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 suma; es el índice de :@0.758885:0.780627:0.905840:0.777728:0.905344:0.763448:0.758388:0.766348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.801441:0.779787:0.804737:0.779722:0.804249:0.765695:0.800953:0.765760:0.000000 sumación; :@0.759410:0.795751:0.834152:0.794276:0.833655:0.779997:0.758914:0.781472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.759936:0.810875:0.763232:0.810810:0.762744:0.796782:0.759448:0.796847:0.000000 1 y :@0.763165:0.810811:0.806859:0.809949:0.806362:0.795669:0.762668:0.796532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.766744:0.810236:0.780678:0.809961:0.780245:0.797496:0.766310:0.797771:0.000000 j :@0.806758:0.809951:0.812998:0.809828:0.812510:0.795800:0.806271:0.795923:0.000000:0.000000 5:@0.812930:0.809325:0.826865:0.809050:0.826431:0.796585:0.812497:0.796860:0.000000 son los :@0.826799:0.809555:0.892273:0.808264:0.891776:0.793984:0.826302:0.795276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.830395:0.809484:0.839027:0.809314:0.838539:0.795287:0.829908:0.795457:0.000000 límites de sumación (esto :@0.760462:0.825999:0.932041:0.822613:0.931545:0.808334:0.759965:0.811719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 es, varía de 1 hasta ).:@0.760987:0.841122:0.909735:0.838187:0.909238:0.823908:0.760491:0.826843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 j:@0.781429:0.840719:0.784725:0.840654:0.784237:0.826627:0.780942:0.826692:0.000000 n:@0.893893:0.838500:0.902525:0.838330:0.902037:0.824302:0.893405:0.824473:0.000000 El índice de sumación :@0.761745:0.863392:0.909488:0.860477:0.908992:0.846198:0.761249:0.849113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se puede representar :@0.762271:0.878516:0.905752:0.875685:0.905255:0.861406:0.761774:0.864237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con cualquier letra :@0.762796:0.893640:0.889245:0.891145:0.888748:0.876866:0.762300:0.879361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 minúscula, aunque se :@0.763322:0.908764:0.910580:0.905858:0.910084:0.891579:0.762826:0.894484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 prefieren , , , .:@0.763848:0.923888:0.865672:0.921878:0.865176:0.907599:0.763351:0.909608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i j k l:@0.826696:0.922647:0.862828:0.921935:0.862341:0.907907:0.826208:0.908620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la función que describe la cantidad de artículos vendidos en cualquier minuto es: ( ) 5, donde es el tiempo en minutos. Para :@0.107874:0.268043:0.700019:0.268043:0.700019:0.258044:0.107874:0.258044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f t:@0.488012:0.268043:0.497524:0.268043:0.497524:0.258221:0.488012:0.258221:0.000000:0.000000:0.000000 5:@0.500628:0.267690:0.510385:0.267690:0.510385:0.258962:0.500628:0.258962:0.000000 t:@0.554206:0.268043:0.557627:0.268043:0.557627:0.258221:0.554206:0.258221:0.000000 encontrar el total de artículos vendidos en una hora (60 minutos), debemos integrar la función ( ) 5 desde :@0.107879:0.284432:0.614058:0.284432:0.614058:0.274433:0.107879:0.274433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f t:@0.549796:0.284432:0.559308:0.284432:0.559308:0.274609:0.549796:0.274609:0.000000:0.000000:0.000000 5:@0.562412:0.284079:0.572169:0.284079:0.572169:0.275350:0.562412:0.275350:0.000000 t:@0.614058:0.284432:0.617478:0.284432:0.617478:0.274609:0.614058:0.274609:0.000000 5:@0.617478:0.284079:0.627236:0.284079:0.627236:0.275350:0.617478:0.275350:0.000000 0 hasta :@0.627236:0.284432:0.662986:0.284432:0.662986:0.274433:0.627236:0.274433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.662986:0.284432:0.666406:0.284432:0.666406:0.274609:0.662986:0.274609:0.000000 5:@0.666406:0.284079:0.676164:0.284079:0.676164:0.275350:0.666406:0.275350:0.000000 60::@0.676164:0.284432:0.689634:0.284432:0.689634:0.274433:0.676164:0.274433:0.000000:0.000000:0.000000 e:@0.325578:0.301191:0.331435:0.301191:0.331435:0.289956:0.325578:0.289956:0.000000 5 5:@0.337582:0.300823:0.373215:0.300823:0.373215:0.290824:0.337582:0.290824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dt:@0.343298:0.300823:0.352610:0.300823:0.352610:0.291000:0.343298:0.291000:0.000000:0.000000 5:@0.355175:0.300470:0.364933:0.300470:0.364933:0.291741:0.355175:0.291741:0.000000 t:@0.373215:0.300823:0.376635:0.300823:0.376635:0.291000:0.373215:0.291000:0.000000 U :@0.376635:0.301193:0.387671:0.301193:0.387671:0.289959:0.376635:0.289959:0.000000:0.000000:0.000000 5 :@0.387671:0.300470:0.400357:0.300470:0.400357:0.291741:0.387671:0.291741:0.000000:0.000000 5(60) 5(0) :@0.400357:0.300823:0.458808:0.300823:0.458808:0.290824:0.400357:0.290824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.426279:0.300470:0.436037:0.300470:0.436037:0.291741:0.426279:0.291741:0.000000 5 :@0.458808:0.300470:0.471494:0.300470:0.471494:0.291741:0.458808:0.291741:0.000000:0.000000 300:@0.471494:0.300823:0.488643:0.300823:0.488643:0.290824:0.471494:0.290824:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000