211:@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 10. Sea una función real definida en el intervalo [ , ], entonces,:@0.073089:0.136836:0.545344:0.136836:0.545344:0.121124:0.073089:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.132908:0.136836:0.137602:0.136836:0.137602:0.121401:0.132908:0.121401:0.000000 a b:@0.437585:0.136836:0.463097:0.136836:0.463097:0.121401:0.437585:0.121401:0.000000:0.000000:0.000000 *:@0.103162:0.172311:0.106236:0.172311:0.106236:0.154657:0.103162:0.154657:0.000000 #:@0.106192:0.173465:0.112704:0.173465:0.112704:0.150996:0.106192:0.150996:0.000000 b:@0.114279:0.158830:0.120171:0.158830:0.120171:0.149007:0.114279:0.149007:0.000000 a:@0.114279:0.176480:0.120171:0.176480:0.120171:0.166658:0.114279:0.166658:0.000000 f x dx:@0.124065:0.171735:0.162315:0.171735:0.162315:0.156300:0.124065:0.156300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.128685:0.171735:0.145749:0.171735:0.145749:0.156022:0.128685:0.156022:0.000000:0.000000:0.000000 *:@0.162260:0.172317:0.165334:0.172317:0.165334:0.154663:0.162260:0.154663:0.000000 :@0.165242:0.171735:0.188472:0.171735:0.188472:0.156022:0.165242:0.156022:0.000000:0.000000:0.000000 #:@0.169200:0.171180:0.184533:0.171180:0.184533:0.157465:0.169200:0.157465:0.000000 #:@0.188381:0.173465:0.194893:0.173465:0.194893:0.150996:0.188381:0.150996:0.000000 b:@0.196468:0.158830:0.202360:0.158830:0.202360:0.149007:0.196468:0.149007:0.000000 a:@0.196468:0.176480:0.202360:0.176480:0.202360:0.166658:0.196468:0.166658:0.000000 |:@0.206254:0.172317:0.211371:0.172317:0.211371:0.154663:0.206254:0.154663:0.000000 ( ) .:@0.211279:0.171735:0.269557:0.171735:0.269557:0.156022:0.211279:0.156022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x dx:@0.215237:0.171735:0.266409:0.171735:0.266409:0.156300:0.215237:0.156300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 |:@0.240786:0.172317:0.245903:0.172317:0.245903:0.154663:0.240786:0.154663:0.000000 Ejercicios resueltos:@0.073096:0.206627:0.216106:0.206627:0.216106:0.189958:0.073096:0.189958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aplica las propiedades de las :@0.073096:0.241520:0.285842:0.241520:0.285842:0.225807:0.073096:0.225807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 integrales:@0.285553:0.241520:0.360361:0.241520:0.360361:0.224850:0.285553:0.224850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.360268:0.241520:0.363470:0.241520:0.363470:0.225807:0.360268:0.225807:0.000000 1. :@0.073089:0.276431:0.089158:0.276431:0.089158:0.260718:0.073089:0.260718:0.000000:0.000000:0.000000 #:@0.103290:0.278297:0.109803:0.278297:0.109803:0.255828:0.103290:0.255828:0.000000 2:@0.111378:0.263309:0.121135:0.263309:0.121135:0.254581:0.111378:0.254581:0.000000 1:@0.121077:0.263662:0.126793:0.263662:0.126793:0.253663:0.121077:0.253663:0.000000 2:@0.111378:0.281313:0.117094:0.281313:0.117094:0.271314:0.111378:0.271314:0.000000 3 ( 4):@0.127558:0.276431:0.192977:0.276431:0.192977:0.260718:0.127558:0.260718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x x:@0.136467:0.276431:0.156108:0.276431:0.156108:0.260996:0.136467:0.260996:0.000000:0.000000:0.000000 2:@0.159991:0.275876:0.175325:0.275876:0.175325:0.262161:0.159991:0.262161:0.000000 dx :@0.192885:0.276431:0.212765:0.276431:0.212765:0.260996:0.192885:0.260996:0.000000:0.000000:0.000000 5 2:@0.212710:0.275876:0.247242:0.275876:0.247242:0.262161:0.212710:0.262161:0.000000:0.000000:0.000000 3 ( 4):@0.227951:0.276431:0.320466:0.276431:0.320466:0.260718:0.227951:0.260718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x x:@0.263956:0.276431:0.283596:0.276431:0.283596:0.260996:0.263956:0.260996:0.000000:0.000000:0.000000 2:@0.287480:0.275876:0.302813:0.275876:0.302813:0.262161:0.287480:0.262161:0.000000 dx :@0.320374:0.276431:0.340254:0.276431:0.340254:0.260996:0.320374:0.260996:0.000000:0.000000:0.000000 5 2:@0.340199:0.275876:0.374731:0.275876:0.374731:0.262161:0.340199:0.262161:0.000000:0.000000:0.000000 :@0.355440:0.276431:0.378670:0.276431:0.378670:0.260718:0.355440:0.260718:0.000000:0.000000:0.000000 #:@0.378569:0.278297:0.385082:0.278297:0.385082:0.255828:0.378569:0.255828:0.000000 2:@0.386657:0.263662:0.392373:0.263662:0.392373:0.253663:0.386657:0.253663:0.000000 2:@0.386657:0.280960:0.396414:0.280960:0.396414:0.272231:0.386657:0.272231:0.000000 1:@0.396356:0.281313:0.402072:0.281313:0.402072:0.271314:0.396356:0.271314:0.000000 (3 12 ) .:@0.402837:0.276431:0.502045:0.276431:0.502045:0.260718:0.402837:0.260718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.416532:0.276431:0.423987:0.276431:0.423987:0.260996:0.416532:0.260996:0.000000 2:@0.423925:0.270367:0.429162:0.270367:0.429162:0.261207:0.423925:0.261207:0.000000 2:@0.433073:0.275876:0.448407:0.275876:0.448407:0.262161:0.433073:0.262161:0.000000 x dx:@0.470072:0.276431:0.498898:0.276431:0.498898:0.260996:0.470072:0.260996:0.000000:0.000000:0.000000:0.000000 2. :@0.073089:0.311330:0.089158:0.311330:0.089158:0.295617:0.073089:0.295617:0.000000:0.000000:0.000000 #:@0.103290:0.313196:0.109803:0.313196:0.109803:0.290727:0.103290:0.290727:0.000000 4:@0.111378:0.298562:0.117094:0.298562:0.117094:0.288563:0.111378:0.288563:0.000000 4:@0.111378:0.316213:0.117094:0.316213:0.117094:0.306214:0.111378:0.306214:0.000000 5:@0.117708:0.311330:0.126691:0.311330:0.126691:0.295617:0.117708:0.295617:0.000000 x dx :@0.126617:0.311330:0.159068:0.311330:0.159068:0.295894:0.126617:0.295894:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.133999:0.305266:0.139236:0.305266:0.139236:0.296105:0.133999:0.296105:0.000000 5:@0.159013:0.310775:0.174346:0.310775:0.174346:0.297059:0.159013:0.297059:0.000000 5:@0.174254:0.311330:0.201609:0.311330:0.201609:0.295617:0.174254:0.295617:0.000000:0.000000:0.000000 #:@0.178208:0.313196:0.184721:0.313196:0.184721:0.290727:0.178208:0.290727:0.000000 4:@0.186297:0.298562:0.192014:0.298562:0.192014:0.288563:0.186297:0.288563:0.000000 4:@0.186297:0.316213:0.192014:0.316213:0.192014:0.306214:0.186297:0.306214:0.000000 x dx :@0.201535:0.311330:0.233987:0.311330:0.233987:0.295894:0.201535:0.295894:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.208916:0.305266:0.214153:0.305266:0.214153:0.296105:0.208916:0.296105:0.000000 5:@0.233932:0.310775:0.249265:0.310775:0.249265:0.297059:0.233932:0.297059:0.000000 0.:@0.249173:0.311330:0.265243:0.311330:0.265243:0.295617:0.249173:0.295617:0.000000:0.000000:0.000000 3. :@0.073089:0.346230:0.089158:0.346230:0.089158:0.330517:0.073089:0.330517:0.000000:0.000000:0.000000 #:@0.103290:0.352480:0.109803:0.352480:0.109803:0.330011:0.103290:0.330011:0.000000 2:@0.111378:0.337846:0.117094:0.337846:0.117094:0.327847:0.111378:0.327847:0.000000 2:@0.111378:0.355143:0.121135:0.355143:0.121135:0.346415:0.111378:0.346415:0.000000 2:@0.121077:0.355496:0.126793:0.355496:0.126793:0.345497:0.121077:0.345497:0.000000 5:@0.127558:0.350614:0.144456:0.350614:0.144456:0.334902:0.127558:0.334902:0.000000:0.000000:0.000000 dx :@0.144364:0.350614:0.167483:0.350614:0.167483:0.335179:0.144364:0.335179:0.000000:0.000000:0.000000:0.000000 5:@0.167446:0.350060:0.182780:0.350060:0.182780:0.336344:0.167446:0.336344:0.000000 5 (2 ( 2)) 5 (2 2) 4 5.:@0.182688:0.350614:0.435346:0.350614:0.435346:0.334902:0.182688:0.334902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 2:@0.225043:0.350060:0.264361:0.350060:0.264361:0.336344:0.225043:0.336344:0.000000:0.000000:0.000000 5:@0.286707:0.350060:0.302040:0.350060:0.302040:0.336344:0.286707:0.336344:0.000000 1:@0.346420:0.350060:0.361753:0.350060:0.361753:0.336344:0.346420:0.336344:0.000000 5:@0.383253:0.350060:0.398586:0.350060:0.398586:0.336344:0.383253:0.336344:0.000000 4. :@0.073089:0.381128:0.089158:0.381128:0.089158:0.365416:0.073089:0.365416:0.000000:0.000000:0.000000 #:@0.103290:0.382993:0.109803:0.382993:0.109803:0.360524:0.103290:0.360524:0.000000 2:@0.111378:0.368359:0.117094:0.368359:0.117094:0.358360:0.111378:0.358360:0.000000 2:@0.111378:0.385657:0.121135:0.385657:0.121135:0.376929:0.111378:0.376929:0.000000 1:@0.121077:0.386010:0.126793:0.386010:0.126793:0.376011:0.121077:0.376011:0.000000 (2 4 5):@0.127558:0.381128:0.230207:0.381128:0.230207:0.365416:0.127558:0.365416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.141253:0.381128:0.148708:0.381128:0.148708:0.365693:0.141253:0.365693:0.000000 2:@0.148646:0.375064:0.153883:0.375064:0.153883:0.365904:0.148646:0.365904:0.000000 2:@0.157793:0.380574:0.173126:0.380574:0.173126:0.366858:0.157793:0.366858:0.000000 x:@0.185882:0.381128:0.193337:0.381128:0.193337:0.365693:0.185882:0.365693:0.000000 1:@0.197221:0.380574:0.212554:0.380574:0.212554:0.366858:0.197221:0.366858:0.000000 dx :@0.230115:0.381128:0.249995:0.381128:0.249995:0.365693:0.230115:0.365693:0.000000:0.000000:0.000000 5:@0.249940:0.380574:0.265273:0.380574:0.265273:0.366858:0.249940:0.366858:0.000000 :@0.265181:0.381128:0.269212:0.381128:0.269212:0.365416:0.265181:0.365416:0.000000 #:@0.314057:0.382993:0.320570:0.382993:0.320570:0.360524:0.314057:0.360524:0.000000 2:@0.322145:0.368359:0.327861:0.368359:0.327861:0.358360:0.322145:0.358360:0.000000 2:@0.322145:0.385657:0.331902:0.385657:0.331902:0.376929:0.322145:0.376929:0.000000 1:@0.331843:0.386010:0.337560:0.386010:0.337560:0.376011:0.331843:0.376011:0.000000 2:@0.338324:0.381128:0.347307:0.381128:0.347307:0.365416:0.338324:0.365416:0.000000 x dx:@0.347234:0.381128:0.376446:0.381128:0.376446:0.365693:0.347234:0.365693:0.000000:0.000000:0.000000:0.000000 2:@0.354615:0.375064:0.359852:0.375064:0.359852:0.365904:0.354615:0.365904:0.000000 :@0.376391:0.381128:0.399621:0.381128:0.399621:0.365416:0.376391:0.365416:0.000000:0.000000:0.000000 2:@0.380348:0.380574:0.395681:0.380574:0.395681:0.366858:0.380348:0.366858:0.000000 #:@0.399529:0.382993:0.406041:0.382993:0.406041:0.360524:0.399529:0.360524:0.000000 2:@0.407616:0.368359:0.413332:0.368359:0.413332:0.358360:0.407616:0.358360:0.000000 2:@0.407616:0.385657:0.417374:0.385657:0.417374:0.376929:0.407616:0.376929:0.000000 1:@0.417315:0.386010:0.423031:0.386010:0.423031:0.376011:0.417315:0.376011:0.000000 4:@0.423796:0.381128:0.432779:0.381128:0.432779:0.365416:0.423796:0.365416:0.000000 xdx :@0.432705:0.381128:0.459679:0.381128:0.459679:0.365693:0.432705:0.365693:0.000000:0.000000:0.000000:0.000000 1:@0.459635:0.380574:0.474968:0.380574:0.474968:0.366858:0.459635:0.366858:0.000000 :@0.474876:0.381128:0.478907:0.381128:0.478907:0.365416:0.474876:0.365416:0.000000 #:@0.478812:0.382993:0.485325:0.382993:0.485325:0.360524:0.478812:0.360524:0.000000 2:@0.486899:0.368359:0.492616:0.368359:0.492616:0.358360:0.486899:0.358360:0.000000 2:@0.486899:0.385657:0.496657:0.385657:0.496657:0.376929:0.486899:0.376929:0.000000 1:@0.496598:0.386010:0.502315:0.386010:0.502315:0.376011:0.496598:0.376011:0.000000 5 .:@0.503079:0.381128:0.531776:0.381128:0.531776:0.365416:0.503079:0.365416:0.000000:0.000000:0.000000 dx:@0.511989:0.381128:0.528629:0.381128:0.528629:0.365693:0.511989:0.365693:0.000000:0.000000 Ejercicios resueltos:@0.073104:0.416021:0.216114:0.416021:0.216114:0.399351:0.073104:0.399351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Calcula la integral definida que se propone y verifícala con el resultado indicado.:@0.073089:0.450926:0.682806:0.450926:0.682806:0.435213:0.073089:0.435213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.485824:0.120077:0.485824:0.120077:0.470112:0.104633:0.470112:0.000000:0.000000:0.000000 #:@0.134834:0.487690:0.141347:0.487690:0.141347:0.465221:0.134834:0.465221:0.000000 3:@0.142921:0.473055:0.148638:0.473055:0.148638:0.463057:0.142921:0.463057:0.000000 2:@0.142921:0.490353:0.152679:0.490353:0.152679:0.481625:0.142921:0.481625:0.000000 2:@0.152620:0.490706:0.158337:0.490706:0.158337:0.480707:0.152620:0.480707:0.000000 1:@0.159101:0.487879:0.164674:0.487879:0.164674:0.463805:0.159101:0.463805:0.000000 2:@0.164548:0.485270:0.179882:0.485270:0.179882:0.471554:0.164548:0.471554:0.000000 20:@0.180318:0.478275:0.198081:0.478275:0.198081:0.462562:0.180318:0.462562:0.000000:0.000000 3:@0.184699:0.494667:0.193682:0.494667:0.193682:0.478955:0.184699:0.478955:0.000000 2:@0.198518:0.487879:0.204090:0.487879:0.204090:0.463805:0.198518:0.463805:0.000000 dx:@0.203965:0.485824:0.220605:0.485824:0.220605:0.470389:0.203965:0.470389:0.000000:0.000000 :@0.220550:0.485824:0.243780:0.485824:0.243780:0.470112:0.220550:0.470112:0.000000:0.000000:0.000000 5 2 :@0.224507:0.485270:0.263549:0.485270:0.263549:0.471554:0.224507:0.471554:0.000000:0.000000:0.000000:0.000000 100:@0.263653:0.478638:0.290196:0.478638:0.290196:0.462925:0.263653:0.462925:0.000000:0.000000:0.000000 3:@0.272433:0.495030:0.281416:0.495030:0.281416:0.479318:0.272433:0.479318:0.000000 :@0.290325:0.485267:0.294927:0.485267:0.294927:0.471551:0.290325:0.471551:0.000000 .:@0.294835:0.485822:0.298038:0.485822:0.298038:0.470109:0.294835:0.470109:0.000000 Por el teorema fundamental del cálculo se tiene::@0.134765:0.520714:0.484087:0.520714:0.484087:0.505002:0.134765:0.505002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.134754:0.557488:0.141266:0.557488:0.141266:0.535019:0.134754:0.535019:0.000000 3:@0.142841:0.542853:0.148557:0.542853:0.148557:0.532854:0.142841:0.532854:0.000000 2:@0.142841:0.560150:0.152599:0.560150:0.152599:0.551422:0.142841:0.551422:0.000000 2:@0.152540:0.560503:0.158256:0.560503:0.158256:0.550504:0.152540:0.550504:0.000000 :@0.159021:0.555622:0.163052:0.555622:0.163052:0.539909:0.159021:0.539909:0.000000 1:@0.162788:0.557677:0.168360:0.557677:0.168360:0.533603:0.162788:0.533603:0.000000 2:@0.168235:0.555067:0.183568:0.555067:0.183568:0.541351:0.168235:0.541351:0.000000 20:@0.184005:0.548072:0.201768:0.548072:0.201768:0.532360:0.184005:0.532360:0.000000:0.000000 3:@0.188386:0.564465:0.197368:0.564465:0.197368:0.548752:0.188386:0.548752:0.000000 2:@0.202203:0.557677:0.207775:0.557677:0.207775:0.533603:0.202203:0.533603:0.000000 dx:@0.207650:0.555622:0.224290:0.555622:0.224290:0.540186:0.207650:0.540186:0.000000:0.000000 :@0.224235:0.555622:0.266663:0.555622:0.266663:0.539909:0.224235:0.539909:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.228192:0.555067:0.262724:0.555067:0.262724:0.541351:0.228192:0.541351:0.000000:0.000000:0.000000 20:@0.267092:0.548072:0.284855:0.548072:0.284855:0.532360:0.267092:0.532360:0.000000:0.000000 3:@0.271473:0.564465:0.280455:0.564465:0.280455:0.548752:0.271473:0.548752:0.000000 x:@0.285278:0.555630:0.292733:0.555630:0.292733:0.540195:0.285278:0.540195:0.000000 :@0.292659:0.555630:0.296691:0.555630:0.296691:0.539918:0.292659:0.539918:0.000000 *:@0.296630:0.557309:0.300543:0.557309:0.300543:0.534840:0.296630:0.534840:0.000000 3:@0.300426:0.545088:0.306142:0.545088:0.306142:0.535089:0.300426:0.535089:0.000000 2:@0.300426:0.558600:0.310183:0.558600:0.310183:0.549871:0.300426:0.549871:0.000000 2:@0.310078:0.558953:0.315794:0.558953:0.315794:0.548954:0.310078:0.548954:0.000000 :@0.315714:0.555622:0.362082:0.555622:0.362082:0.539909:0.315714:0.539909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.323610:0.555067:0.358142:0.555067:0.358142:0.541351:0.323610:0.541351:0.000000:0.000000:0.000000 20:@0.362527:0.548072:0.380290:0.548072:0.380290:0.532360:0.362527:0.532360:0.000000:0.000000 3:@0.366908:0.564465:0.375890:0.564465:0.375890:0.548752:0.366908:0.548752:0.000000 (3) :@0.380713:0.555630:0.422424:0.555630:0.422424:0.539918:0.380713:0.539918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.403151:0.555076:0.418485:0.555076:0.418485:0.541360:0.403151:0.541360:0.000000 20:@0.422892:0.548072:0.440655:0.548072:0.440655:0.532360:0.422892:0.532360:0.000000:0.000000 3:@0.427273:0.564465:0.436256:0.564465:0.436256:0.548752:0.427273:0.548752:0.000000 ( 2) :@0.441079:0.555630:0.517248:0.555630:0.517248:0.539918:0.441079:0.539918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 5 2:@0.445883:0.555076:0.513309:0.555076:0.513309:0.541360:0.445883:0.541360:0.000000:0.000000:0.000000:0.000000:0.000000 100:@0.517377:0.548435:0.543920:0.548435:0.543920:0.532723:0.517377:0.532723:0.000000:0.000000:0.000000 3:@0.526157:0.564828:0.535140:0.564828:0.535140:0.549115:0.526157:0.549115:0.000000 .:@0.544049:0.555619:0.547252:0.555619:0.547252:0.539906:0.544049:0.539906:0.000000 b. :@0.104633:0.590520:0.121531:0.590520:0.121531:0.574808:0.104633:0.574808:0.000000:0.000000:0.000000 #:@0.134834:0.592386:0.141347:0.592386:0.141347:0.569917:0.134834:0.569917:0.000000 5:@0.142921:0.577752:0.148638:0.577752:0.148638:0.567753:0.142921:0.567753:0.000000 1:@0.142921:0.595402:0.148638:0.595402:0.148638:0.585403:0.142921:0.585403:0.000000 6:@0.149252:0.590520:0.158235:0.590520:0.158235:0.574808:0.149252:0.574808:0.000000 xdx:@0.158161:0.590520:0.181895:0.590520:0.181895:0.575085:0.158161:0.575085:0.000000:0.000000:0.000000 72.:@0.181833:0.590520:0.226010:0.590520:0.226010:0.574808:0.181833:0.574808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.185790:0.589966:0.201124:0.589966:0.201124:0.576250:0.185790:0.576250:0.000000 Por el teorema fundamental del cálculo se tiene::@0.134765:0.625413:0.484087:0.625413:0.484087:0.609700:0.134765:0.609700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.134754:0.662184:0.141266:0.662184:0.141266:0.639715:0.134754:0.639715:0.000000 5:@0.142841:0.647550:0.148557:0.647550:0.148557:0.637551:0.142841:0.637551:0.000000 1:@0.142841:0.665201:0.148557:0.665201:0.148557:0.655202:0.142841:0.655202:0.000000 6:@0.149172:0.660319:0.162112:0.660319:0.162112:0.644606:0.149172:0.644606:0.000000:0.000000 xdx:@0.161836:0.660319:0.185570:0.660319:0.185570:0.644884:0.161836:0.644884:0.000000:0.000000:0.000000 :@0.185507:0.660319:0.208737:0.660319:0.208737:0.644606:0.185507:0.644606:0.000000:0.000000:0.000000 5:@0.189465:0.659764:0.204798:0.659764:0.204798:0.646049:0.189465:0.646049:0.000000 6:@0.209949:0.652768:0.218932:0.652768:0.218932:0.637056:0.209949:0.637056:0.000000 x:@0.218729:0.652768:0.226184:0.652768:0.226184:0.637333:0.218729:0.637333:0.000000 2:@0.213575:0.669161:0.222558:0.669161:0.222558:0.653448:0.213575:0.653448:0.000000 x:@0.227381:0.660327:0.234836:0.660327:0.234836:0.644891:0.227381:0.644891:0.000000 :@0.234762:0.660327:0.238793:0.660327:0.238793:0.644614:0.234762:0.644614:0.000000 *:@0.238725:0.662006:0.242637:0.662006:0.242637:0.639537:0.238725:0.639537:0.000000 5:@0.242518:0.649784:0.248234:0.649784:0.248234:0.639785:0.242518:0.639785:0.000000 1:@0.242518:0.663649:0.248234:0.663649:0.248234:0.653650:0.242518:0.653650:0.000000 5:@0.248738:0.659764:0.264071:0.659764:0.264071:0.646049:0.248738:0.646049:0.000000 3(5) 3(1) 72.:@0.263979:0.660319:0.400426:0.660319:0.400426:0.644606:0.263979:0.644606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.295327:0.654255:0.300564:0.654255:0.300564:0.645095:0.295327:0.645095:0.000000 2:@0.304475:0.659764:0.319808:0.659764:0.319808:0.646049:0.304475:0.646049:0.000000 2:@0.351057:0.654255:0.356294:0.654255:0.356294:0.645095:0.351057:0.645095:0.000000 5:@0.360206:0.659764:0.375539:0.659764:0.375539:0.646049:0.360206:0.646049:0.000000 c. :@0.104633:0.695218:0.119708:0.695218:0.119708:0.679505:0.104633:0.679505:0.000000:0.000000:0.000000 #:@0.134834:0.697082:0.141347:0.697082:0.141347:0.674613:0.134834:0.674613:0.000000 5:@0.142921:0.682449:0.148638:0.682449:0.148638:0.672450:0.142921:0.672450:0.000000 1:@0.142921:0.700099:0.148638:0.700099:0.148638:0.690100:0.142921:0.690100:0.000000 (6 0,5) 61,5 ( ) , :@0.149252:0.695218:0.409420:0.695218:0.409420:0.679505:0.149252:0.679505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.166904:0.695218:0.174359:0.695218:0.174359:0.679782:0.166904:0.679782:0.000000 2:@0.178243:0.694663:0.193577:0.694663:0.193577:0.680947:0.178243:0.680947:0.000000 dx:@0.223157:0.695218:0.239797:0.695218:0.239797:0.679782:0.223157:0.679782:0.000000:0.000000 5:@0.243699:0.694663:0.259033:0.694663:0.259033:0.680947:0.243699:0.680947:0.000000 F x:@0.300615:0.695218:0.320844:0.695218:0.320844:0.679782:0.300615:0.679782:0.000000:0.000000:0.000000 5:@0.329514:0.694663:0.344847:0.694663:0.344847:0.680947:0.329514:0.680947:0.000000 cx:@0.348713:0.695218:0.363752:0.695218:0.363752:0.679782:0.348713:0.679782:0.000000:0.000000 1:@0.367654:0.694663:0.382987:0.694663:0.382987:0.680947:0.367654:0.680947:0.000000 k:@0.386853:0.695218:0.394418:0.695218:0.394418:0.679782:0.386853:0.679782:0.000000 ;:@0.409310:0.694663:0.421587:0.694663:0.421587:0.680947:0.409310:0.680947:0.000000 x:@0.421495:0.695218:0.428950:0.695218:0.428950:0.679782:0.421495:0.679782:0.000000 [0, ].:@0.428876:0.695218:0.489296:0.695218:0.489296:0.679505:0.428876:0.679505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.432834:0.694928:0.447470:0.694928:0.447470:0.681518:0.432834:0.681518:0.000000 b:@0.472103:0.695218:0.481362:0.695218:0.481362:0.679782:0.472103:0.679782:0.000000 Por el teorema fundamental del cálculo se tiene::@0.134754:0.730110:0.484075:0.730110:0.484075:0.714397:0.134754:0.714397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.134754:0.766881:0.141266:0.766881:0.141266:0.744412:0.134754:0.744412:0.000000 5:@0.142841:0.752246:0.148557:0.752246:0.148557:0.742247:0.142841:0.742247:0.000000 1:@0.142841:0.769897:0.148557:0.769897:0.148557:0.759898:0.142841:0.759898:0.000000 (6 0,5) (3 0,5 ) [3(5) 0,5(5)] [3(2) 0,5(2)] 61,5.:@0.149172:0.765015:0.634373:0.765015:0.634373:0.749302:0.149172:0.749302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.162130:0.765015:0.169585:0.765015:0.169585:0.749580:0.162130:0.749580:0.000000 2:@0.172733:0.764460:0.188066:0.764460:0.188066:0.750745:0.172733:0.750745:0.000000 dx:@0.215438:0.765015:0.231710:0.765015:0.231710:0.749580:0.215438:0.749580:0.000000:0.000000 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1:@0.351504:0.897060:0.360487:0.897060:0.360487:0.881348:0.351504:0.881348:0.000000 0:@0.351504:0.913453:0.360487:0.913453:0.360487:0.897740:0.351504:0.897740:0.000000 5 2:@0.360560:0.904064:0.417062:0.904055:0.417062:0.890340:0.360560:0.890348:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.384821:0.905201:0.388908:0.905201:0.388908:0.887547:0.384821:0.887547:0.000000 e:@0.388816:0.904618:0.396602:0.904618:0.396602:0.889183:0.388816:0.889183:0.000000 1:@0.396540:0.898546:0.401777:0.898546:0.401777:0.889386:0.396540:0.889386:0.000000 :@0.416970:0.898546:0.418902:0.898546:0.418902:0.889548:0.416970:0.889548:0.000000 tan:@0.418863:0.904610:0.442848:0.904610:0.442848:0.889175:0.418863:0.889175:0.000000:0.000000:0.000000 2:@0.442796:0.898223:0.451735:0.898223:0.451735:0.890227:0.442796:0.890227:0.000000 1:@0.451681:0.898546:0.456918:0.898546:0.456918:0.889386:0.451681:0.889386:0.000000 1:@0.456872:0.904610:0.465855:0.904610:0.465855:0.888897:0.456872:0.888897:0.000000 D S:@0.465781:0.905193:0.498123:0.905193:0.498123:0.887538:0.465781:0.887538:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.474285:0.904055:0.489619:0.904055:0.489619:0.890340:0.474285:0.890340:0.000000 e:@0.498031:0.904610:0.505817:0.904610:0.505817:0.889175:0.498031:0.889175:0.000000 0:@0.505743:0.898546:0.510980:0.898546:0.510980:0.889386:0.505743:0.889386:0.000000 2:@0.510934:0.904055:0.526268:0.904055:0.526268:0.890340:0.510934:0.890340:0.000000 :@0.526176:0.898546:0.528107:0.898546:0.528107:0.889548:0.526176:0.889548:0.000000 tan:@0.528068:0.904610:0.552053:0.904610:0.552053:0.889175:0.528068:0.889175:0.000000:0.000000:0.000000 2:@0.552001:0.898223:0.560940:0.898223:0.560940:0.890227:0.552001:0.890227:0.000000 1:@0.560887:0.898546:0.566123:0.898546:0.566123:0.889386:0.560887:0.889386:0.000000 0:@0.566076:0.904610:0.575059:0.904610:0.575059:0.888897:0.566076:0.888897:0.000000 D :@0.574985:0.905193:0.583581:0.905193:0.583581:0.887538:0.574985:0.887538:0.000000:0.000000 5 2 2 1 :@0.583489:0.904055:0.688409:0.904053:0.688409:0.890337:0.583489:0.890340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 p:@0.618866:0.896869:0.631144:0.896869:0.631144:0.883154:0.618866:0.883154:0.000000 4:@0.620523:0.913816:0.629505:0.913816:0.629505:0.898104:0.620523:0.898104:0.000000 1 :@0.655717:0.904608:0.668658:0.904608:0.668658:0.888895:0.655717:0.888895:0.000000:0.000000 0 :@0.688317:0.904608:0.701331:0.904608:0.701331:0.888895:0.688317:0.888895:0.000000:0.000000 5 2 2 :@0.134755:0.938945:0.222558:0.938952:0.222558:0.925236:0.134755:0.925230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e :@0.154506:0.939500:0.165532:0.939500:0.165532:0.924065:0.154506:0.924065:0.000000:0.000000 p:@0.185615:0.931768:0.197892:0.931768:0.197892:0.918052:0.185615:0.918052:0.000000 4:@0.187271:0.948715:0.196254:0.948715:0.196254:0.933002:0.187271:0.933002:0.000000 1 :@0.222466:0.939507:0.235406:0.939507:0.235406:0.923794:0.222466:0.923794:0.000000:0.000000 ø :@0.235314:0.940089:0.255157:0.940089:0.255157:0.922435:0.235314:0.922435:0.000000:0.000000 0,93.:@0.255065:0.939507:0.288125:0.939507:0.288125:0.923794:0.255065:0.923794:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.740294:0.145303:0.848854:0.145303:0.848854:0.128356:0.740294:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.740294:0.161945:0.837769:0.161945:0.837769:0.144998:0.740294:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una de las técnicas :@0.749032:0.189629:0.878546:0.189629:0.878546:0.175344:0.749032:0.175344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de integración es por :@0.749032:0.204758:0.892980:0.204758:0.892980:0.190473:0.749032:0.190473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cambio de variable, por :@0.749032:0.219887:0.907857:0.219887:0.907857:0.205602:0.749032:0.205602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ejemplo::@0.749032:0.235015:0.806680:0.235015:0.806680:0.220731:0.749032:0.220731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Integremos:@0.749032:0.250144:0.828331:0.250144:0.828331:0.234990:0.749032:0.234990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la siguiente :@0.828250:0.250144:0.911076:0.250144:0.911076:0.235860:0.828250:0.235860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 expresión por cambio :@0.749032:0.265273:0.897237:0.265273:0.897237:0.250989:0.749032:0.250989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de variable.:@0.749032:0.280402:0.824122:0.280402:0.824122:0.266118:0.749032:0.266118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e:@0.749032:0.296061:0.757399:0.296061:0.757399:0.280011:0.749032:0.280011:0.000000 ( 4 ) ( 2):@0.757315:0.295531:0.875368:0.295531:0.875368:0.281247:0.757315:0.281247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.761683:0.295531:0.768460:0.295531:0.768460:0.281499:0.761683:0.281499:0.000000 2:@0.768393:0.290019:0.773154:0.290019:0.773154:0.281691:0.768393:0.281691:0.000000 1:@0.776708:0.295027:0.790648:0.295027:0.790648:0.282558:0.776708:0.282558:0.000000 x:@0.802244:0.295531:0.809021:0.295531:0.809021:0.281499:0.802244:0.281499:0.000000 2:@0.813320:0.290019:0.818081:0.290019:0.818081:0.281691:0.813320:0.281691:0.000000 ?:@0.821635:0.295405:0.827208:0.295405:0.827208:0.282634:0.821635:0.282634:0.000000 x:@0.835073:0.295531:0.841850:0.295531:0.841850:0.281499:0.835073:0.281499:0.000000 1:@0.845381:0.295027:0.859320:0.295027:0.859320:0.282558:0.845381:0.282558:0.000000 dx.:@0.875284:0.295531:0.893373:0.295531:0.893373:0.281499:0.875284:0.281499:0.000000:0.000000:0.000000 Hacemos:@0.749044:0.310660:0.811157:0.310660:0.811157:0.295506:0.749044:0.295506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el cambio ² :@0.810725:0.310660:0.894126:0.310660:0.894126:0.296376:0.810725:0.296376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.879300:0.310660:0.886078:0.310660:0.886078:0.296628:0.879300:0.296628:0.000000 1:@0.749044:0.325285:0.762983:0.325285:0.762983:0.312816:0.749044:0.312816:0.000000 4 , derivamos :@0.762565:0.325789:0.887410:0.325789:0.887410:0.311505:0.762565:0.311505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.773576:0.325789:0.780353:0.325789:0.780353:0.311757:0.773576:0.311757:0.000000 5:@0.783214:0.325285:0.797154:0.325285:0.797154:0.312816:0.783214:0.312816:0.000000 u:@0.799998:0.325789:0.808466:0.325789:0.808466:0.311757:0.799998:0.311757:0.000000 los dos lados de la :@0.749044:0.340918:0.872858:0.340918:0.872858:0.326634:0.749044:0.326634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 expresión y nos queda::@0.749044:0.356047:0.900797:0.356047:0.900797:0.341763:0.749044:0.341763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (2 4) :@0.749044:0.371176:0.819276:0.371176:0.819276:0.356892:0.749044:0.356892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.760322:0.371176:0.767100:0.371176:0.767100:0.357144:0.760322:0.357144:0.000000 1:@0.770631:0.370672:0.784570:0.370672:0.784570:0.358203:0.770631:0.358203:0.000000 dx:@0.800534:0.371176:0.815661:0.371176:0.815661:0.357144:0.800534:0.357144:0.000000:0.000000 5:@0.819209:0.370672:0.833148:0.370672:0.833148:0.358203:0.819209:0.358203:0.000000 du:@0.833065:0.371176:0.849882:0.371176:0.849882:0.357144:0.833065:0.357144:0.000000:0.000000 2( 2) :@0.749061:0.386305:0.820464:0.386305:0.820464:0.372021:0.749061:0.372021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.761511:0.386305:0.768288:0.386305:0.768288:0.372273:0.761511:0.372273:0.000000 1:@0.771819:0.385801:0.785758:0.385801:0.785758:0.373332:0.771819:0.373332:0.000000 dx:@0.801722:0.386305:0.816849:0.386305:0.816849:0.372273:0.801722:0.372273:0.000000:0.000000 5:@0.820397:0.385801:0.834336:0.385801:0.834336:0.373332:0.820397:0.373332:0.000000 du:@0.834253:0.386305:0.851070:0.386305:0.851070:0.372273:0.834253:0.372273:0.000000:0.000000 ⇒ :@0.749077:0.406376:0.769693:0.406376:0.769693:0.390932:0.749077:0.390932:0.000000:0.000000 ( 2):@0.769610:0.406754:0.814256:0.406754:0.814256:0.392470:0.769610:0.392470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.773961:0.406754:0.780738:0.406754:0.780738:0.392722:0.773961:0.392722:0.000000 1:@0.784269:0.406250:0.798208:0.406250:0.798208:0.393781:0.784269:0.393781:0.000000 dx dx.:@0.814172:0.406754:0.875448:0.406754:0.875448:0.392722:0.814172:0.392722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.832194:0.406250:0.846134:0.406250:0.846134:0.393781:0.832194:0.393781:0.000000 1:@0.849109:0.398282:0.857275:0.398282:0.857275:0.383998:0.849109:0.383998:0.000000 2:@0.849109:0.414672:0.857275:0.414672:0.857275:0.400387:0.849109:0.400387:0.000000 Cambiamos:@0.749024:0.429032:0.828690:0.429032:0.828690:0.413877:0.749024:0.413877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la integral :@0.828259:0.429032:0.900351:0.429032:0.900351:0.414747:0.828259:0.414747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en función de , e :@0.749024:0.444160:0.870997:0.444160:0.870997:0.429876:0.749024:0.429876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.844373:0.444160:0.852841:0.444160:0.852841:0.430128:0.844373:0.430128:0.000000 integramos:@0.749024:0.459289:0.824830:0.459289:0.824830:0.444135:0.749024:0.444135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ::@0.824410:0.459289:0.827322:0.459289:0.827322:0.445005:0.824410:0.445005:0.000000 e:@0.749024:0.482096:0.757391:0.482096:0.757391:0.466047:0.749024:0.466047:0.000000 ( 4 ) ( 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