229:@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:@0.607258:0.043660:0.930454:0.043660:0.930454:0.024915:0.607258:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 1 (Ev. 2) Propone y justifica diferentes estrategias para resolver problemas con números naturales en contextos escolares y extraescolares.:@0.082867:0.971338:0.827970:0.971338:0.827970:0.959911:0.082867:0.959911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sustituimos:@0.072614:0.136479:0.162074:0.136479:0.162074:0.119810:0.072614:0.119810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ::@0.161945:0.136479:0.165148:0.136479:0.165148:0.120767:0.161945:0.120767:0.000000 #:@0.072614:0.189182:0.079592:0.189182:0.079592:0.165108:0.072614:0.165108:0.000000 2:@0.079597:0.176632:0.094930:0.176632:0.094930:0.162916:0.079597:0.162916:0.000000 du:@0.094727:0.177186:0.113098:0.177186:0.113098:0.161751:0.094727:0.161751:0.000000:0.000000 u:@0.091690:0.193579:0.101004:0.193579:0.101004:0.178143:0.091690:0.178143:0.000000 5 2:@0.113190:0.186575:0.151146:0.186575:0.151146:0.172859:0.113190:0.172859:0.000000:0.000000:0.000000:0.000000 #:@0.150929:0.189182:0.157907:0.189182:0.157907:0.165108:0.150929:0.165108:0.000000 du:@0.157746:0.177186:0.176116:0.177186:0.176116:0.161751:0.157746:0.161751:0.000000:0.000000 u:@0.162274:0.193579:0.171588:0.193579:0.171588:0.178143:0.162274:0.178143:0.000000 5 2:@0.176043:0.186575:0.213999:0.186575:0.213999:0.172859:0.176043:0.172859:0.000000:0.000000:0.000000:0.000000 lnu C ln(cosx) C ln(cosx):@0.213796:0.187130:0.454184:0.187130:0.454184:0.171695:0.213796:0.171695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 52:@0.238627:0.186575:0.302059:0.186575:0.302059:0.172859:0.238627:0.172859:0.000000:0.000000:0.000000:0.000000 1 5:@0.356600:0.186575:0.399488:0.186575:0.399488:0.172859:0.356600:0.172859:0.000000:0.000000:0.000000 2:@0.454041:0.180740:0.462980:0.180740:0.462980:0.172744:0.454041:0.172744:0.000000 1 :@0.462851:0.181064:0.469650:0.181064:0.469650:0.172065:0.462851:0.172065:0.000000:0.000000 1:@0.469297:0.186573:0.484630:0.186573:0.484630:0.172857:0.469297:0.172857:0.000000 :@0.484413:0.181064:0.486344:0.181064:0.486344:0.172065:0.484413:0.172065:0.000000 C :@0.485991:0.187127:0.501757:0.187127:0.501757:0.171692:0.485991:0.171692:0.000000:0.000000:0.000000 por propiedad de logaritmo:@0.501149:0.187127:0.699824:0.187127:0.699824:0.171415:0.501149:0.171415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 s :@0.699497:0.187127:0.709179:0.187127:0.709179:0.171692:0.699497:0.171692:0.000000:0.000000:0.000000 ln:@0.072619:0.219912:0.085836:0.219912:0.085836:0.204476:0.072619:0.204476:0.000000:0.000000 1:@0.100410:0.209966:0.109393:0.209966:0.109393:0.194253:0.100410:0.194253:0.000000 cosx:@0.089642:0.226358:0.120161:0.226358:0.120161:0.210923:0.089642:0.210923:0.000000:0.000000:0.000000:0.000000 1 5 :@0.123935:0.219355:0.179856:0.219355:0.179856:0.205639:0.123935:0.205639:0.000000:0.000000:0.000000:0.000000:0.000000 C :@0.143686:0.219909:0.160068:0.219909:0.160068:0.204474:0.143686:0.204474:0.000000:0.000000:0.000000 lnsecx C. :@0.179764:0.219909:0.260130:0.219909:0.260130:0.204474:0.179764:0.204474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.225174:0.219355:0.240508:0.219355:0.240508:0.205639:0.225174:0.205639:0.000000 Ejemplo 3:@0.072615:0.256064:0.148398:0.256064:0.148398:0.239394:0.072615:0.239394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluemos:@0.072615:0.292218:0.155052:0.292218:0.155052:0.275548:0.072615:0.275548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.114749:0.342865:0.118781:0.342865:0.118781:0.327152:0.114749:0.327152:0.000000 #:@0.118707:0.345699:0.125220:0.345699:0.125220:0.323230:0.118707:0.323230:0.000000 2:@0.126795:0.331065:0.132511:0.331065:0.132511:0.321066:0.126795:0.321066:0.000000 0:@0.126795:0.348716:0.132511:0.348716:0.132511:0.338717:0.126795:0.338717:0.000000 :@0.136581:0.342299:0.141183:0.342299:0.141183:0.328583:0.136581:0.328583:0.000000 x:@0.167366:0.330683:0.174821:0.330683:0.174821:0.315248:0.167366:0.315248:0.000000 2:@0.174619:0.324620:0.179856:0.324620:0.179856:0.315459:0.174619:0.315459:0.000000 1:@0.151794:0.352116:0.160776:0.352116:0.160776:0.336403:0.151794:0.336403:0.000000 x:@0.160776:0.352116:0.190191:0.352116:0.190191:0.336681:0.160776:0.336681:0.000000:0.000000:0.000000:0.000000 1:@0.164090:0.351561:0.179423:0.351561:0.179423:0.337846:0.164090:0.337846:0.000000 3:@0.190191:0.346052:0.195428:0.346052:0.195428:0.336892:0.190191:0.336892:0.000000 hacemos 1 , así que 3:@0.196152:0.342853:0.480947:0.342853:0.480947:0.327141:0.196152:0.327141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dx:@0.200109:0.342853:0.216750:0.342853:0.216750:0.327418:0.200109:0.327418:0.000000:0.000000 u:@0.291133:0.342853:0.300447:0.342853:0.300447:0.327418:0.291133:0.327418:0.000000 5 1:@0.304331:0.342299:0.351712:0.342299:0.351712:0.328583:0.304331:0.328583:0.000000:0.000000:0.000000 x:@0.355577:0.342853:0.363032:0.342853:0.363032:0.327418:0.355577:0.327418:0.000000 3:@0.362938:0.336789:0.368175:0.336789:0.368175:0.327629:0.362938:0.327629:0.000000 du:@0.430364:0.342853:0.448863:0.342853:0.448863:0.327418:0.430364:0.327418:0.000000:0.000000 5:@0.452766:0.342299:0.468099:0.342299:0.468099:0.328583:0.452766:0.328583:0.000000 x dx:@0.480855:0.342853:0.510071:0.342853:0.510071:0.327418:0.480855:0.327418:0.000000:0.000000:0.000000:0.000000 2:@0.488242:0.336789:0.493478:0.336789:0.493478:0.327629:0.488242:0.327629:0.000000 de donde :@0.510016:0.342853:0.634567:0.342852:0.634567:0.327139:0.510016:0.327141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 du:@0.588991:0.335668:0.607362:0.335668:0.607362:0.320233:0.588991:0.320233:0.000000:0.000000 3:@0.593685:0.352061:0.602668:0.352061:0.602668:0.336348:0.593685:0.336348:0.000000 5:@0.615295:0.342297:0.630628:0.342297:0.630628:0.328582:0.615295:0.328582:0.000000 x dx:@0.634494:0.342852:0.663716:0.342853:0.663716:0.327418:0.634494:0.327417:0.000000:0.000000:0.000000:0.000000 2:@0.641887:0.336789:0.647124:0.336789:0.647124:0.327629:0.641887:0.327629:0.000000 Los límites de integración serían cuando:@0.072622:0.379008:0.364473:0.379008:0.364473:0.363295:0.072622:0.363295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.364157:0.379008:0.374851:0.379008:0.374851:0.363572:0.364157:0.363572:0.000000:0.000000 5:@0.374796:0.378453:0.390129:0.378453:0.390129:0.364737:0.374796:0.364737:0.000000 0, :@0.390037:0.379008:0.406107:0.379008:0.406107:0.363295:0.390037:0.363295:0.000000:0.000000:0.000000 u:@0.406015:0.379008:0.415329:0.379008:0.415329:0.363572:0.406015:0.363572:0.000000 5:@0.415255:0.378453:0.430588:0.378453:0.430588:0.364737:0.415255:0.364737:0.000000 1 y cuando :@0.430496:0.379008:0.514949:0.379008:0.514949:0.363295:0.430496:0.363295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.514802:0.379008:0.522256:0.379008:0.522256:0.363572:0.514802:0.363572:0.000000 5:@0.522183:0.378453:0.537516:0.378453:0.537516:0.364737:0.522183:0.364737:0.000000 2, :@0.537424:0.379008:0.553494:0.379008:0.553494:0.363295:0.537424:0.363295:0.000000:0.000000:0.000000 u:@0.553402:0.379008:0.562716:0.379008:0.562716:0.363572:0.553402:0.363572:0.000000 5:@0.562642:0.378453:0.577975:0.378453:0.577975:0.364737:0.562642:0.364737:0.000000 9.:@0.577883:0.379008:0.589995:0.379008:0.589995:0.363295:0.577883:0.363295:0.000000:0.000000 du:@0.118185:0.404902:0.132577:0.404902:0.132577:0.392950:0.118185:0.392950:0.000000:0.000000 u:@0.121867:0.421685:0.128975:0.421685:0.128975:0.409733:0.121867:0.409733:0.000000 u:@0.214829:0.412636:0.224603:0.412636:0.224603:0.396202:0.214829:0.396202:0.000000 du:@0.256006:0.412636:0.275793:0.412636:0.275793:0.396202:0.256006:0.396202:0.000000:0.000000 du:@0.446778:0.412636:0.466566:0.412636:0.466566:0.396202:0.446778:0.396202:0.000000:0.000000 u:@0.431445:0.412636:0.441219:0.412636:0.441219:0.396202:0.431445:0.396202:0.000000 u:@0.660266:0.412636:0.670040:0.412636:0.670040:0.396202:0.660266:0.396202:0.000000 u:@0.325500:0.405563:0.333497:0.405563:0.333497:0.392117:0.325500:0.392117:0.000000 3.2 Integración por partes:@0.072615:0.451303:0.275941:0.451303:0.275941:0.434356:0.072615:0.434356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cuando evaluamos la integral de un producto de funciones la llamamos integración por :@0.072615:0.487457:0.710360:0.487457:0.710360:0.471744:0.072615:0.471744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 partes :@0.072615:0.505735:0.184144:0.505735:0.184144:0.490023:0.072615:0.490023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.121872:0.506318:0.126990:0.506318:0.126990:0.488664:0.121872:0.488664:0.000000 u dv:@0.130855:0.505735:0.160969:0.505735:0.160969:0.490300:0.130855:0.490300:0.000000:0.000000:0.000000:0.000000 5 ? 2:@0.164872:0.505181:0.226297:0.505181:0.226297:0.491465:0.164872:0.491465:0.000000:0.000000:0.000000:0.000000:0.000000 u v:@0.184071:0.505735:0.207080:0.505735:0.207080:0.490300:0.184071:0.490300:0.000000:0.000000:0.000000 :@0.207006:0.505735:0.239219:0.505735:0.239219:0.490023:0.207006:0.490023:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.230162:0.506318:0.235280:0.506318:0.235280:0.488664:0.230162:0.488664:0.000000 v du.:@0.239145:0.505735:0.274421:0.505735:0.274421:0.490300:0.239145:0.490300:0.000000:0.000000:0.000000:0.000000:0.000000 ?:@0.246802:0.505181:0.252932:0.505181:0.252932:0.491465:0.246802:0.491465:0.000000 Ejemplo 4:@0.072633:0.541890:0.148416:0.541890:0.148416:0.525220:0.072633:0.525220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Evaluemos:@0.072633:0.578044:0.155070:0.578044:0.155070:0.561374:0.072633:0.561374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.154969:0.578044:0.167983:0.578044:0.167983:0.562331:0.154969:0.562331:0.000000:0.000000:0.000000 #:@0.158926:0.578626:0.164043:0.578626:0.164043:0.560972:0.158926:0.560972:0.000000 x cosx dx. :@0.167909:0.578044:0.235213:0.578044:0.235213:0.562609:0.167909:0.562609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Hacemos :@0.072651:0.614198:0.240047:0.614198:0.240047:0.598486:0.072651:0.598486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.144863:0.614198:0.154177:0.614198:0.154177:0.598763:0.144863:0.598763:0.000000 5:@0.158061:0.613644:0.173394:0.613644:0.173394:0.599928:0.158061:0.599928:0.000000 x y dv:@0.177260:0.614198:0.216872:0.614198:0.216872:0.598763:0.177260:0.598763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.220775:0.613644:0.236108:0.613644:0.236108:0.599928:0.220775:0.599928:0.000000 cosx dx:@0.239973:0.614198:0.290833:0.614198:0.290833:0.598763:0.239973:0.598763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 donde :@0.270235:0.614198:0.460253:0.614198:0.460253:0.598486:0.270235:0.598486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 du:@0.346883:0.614198:0.365382:0.614198:0.365382:0.598763:0.346883:0.598763:0.000000:0.000000 5:@0.369284:0.613644:0.384618:0.613644:0.384618:0.599928:0.369284:0.599928:0.000000 dx y v:@0.388483:0.614198:0.428114:0.614198:0.428114:0.598763:0.388483:0.598763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.431998:0.613644:0.447331:0.613644:0.447331:0.599928:0.431998:0.599928:0.000000 #:@0.451197:0.614781:0.456314:0.614781:0.456314:0.597127:0.451197:0.597127:0.000000 cosx dx:@0.460179:0.614198:0.511039:0.614198:0.511039:0.598763:0.460179:0.598763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.490441:0.614198:0.534213:0.614198:0.534213:0.598486:0.490441:0.598486:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.514941:0.613644:0.530274:0.613644:0.530274:0.599928:0.514941:0.599928:0.000000 senx.:@0.534140:0.614198:0.568285:0.614198:0.568285:0.598763:0.534140:0.598763:0.000000:0.000000:0.000000:0.000000:0.000000 Así que :@0.072762:0.650353:0.139249:0.650353:0.139249:0.634640:0.072762:0.634640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.130192:0.650935:0.135310:0.650935:0.135310:0.633281:0.130192:0.633281:0.000000 x cosx dx x senx :@0.139175:0.650353:0.266369:0.650353:0.266369:0.634917:0.139175:0.634917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.203140:0.649798:0.218474:0.649798:0.218474:0.636082:0.203140:0.636082:0.000000 2 :@0.266351:0.649798:0.286194:0.649798:0.286194:0.636082:0.266351:0.636082:0.000000:0.000000 # :@0.286102:0.650935:0.295729:0.650935:0.295729:0.633281:0.286102:0.633281:0.000000:0.000000 senx dx xsenx cosx C.:@0.295637:0.650353:0.493147:0.650353:0.493147:0.634917:0.295637:0.634917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.349552:0.649798:0.364885:0.649798:0.364885:0.636082:0.349552:0.636082:0.000000 1:@0.409523:0.649798:0.424856:0.649798:0.424856:0.636082:0.409523:0.636082:0.000000 1:@0.461505:0.649798:0.476838:0.649798:0.476838:0.636082:0.461505:0.636082:0.000000 Ejemplo 5 :@0.072762:0.686507:0.152447:0.686507:0.152447:0.669838:0.072762:0.669838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ahora, resolvamos otro ejemplo con un tratamiento especial. Algunos lo llamamos :@0.072762:0.722662:0.710177:0.722662:0.710177:0.706949:0.072762:0.706949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 doblar la integral:@0.072762:0.740940:0.195249:0.740940:0.195249:0.725227:0.072762:0.725227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.352534:0.777677:0.357651:0.777677:0.357651:0.760022:0.352534:0.760022:0.000000 e cosx dx.:@0.357559:0.777094:0.426046:0.777061:0.426046:0.761626:0.357559:0.761659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.365129:0.770998:0.369475:0.770998:0.369475:0.761999:0.365129:0.761999:0.000000 Hacemos:@0.072619:0.813216:0.141002:0.813216:0.141002:0.797503:0.072619:0.797503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u e y dv cosxdx:@0.140873:0.813216:0.286196:0.813211:0.286196:0.797775:0.140873:0.797781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.156611:0.812661:0.171945:0.812661:0.171945:0.798945:0.156611:0.798945:0.000000 x:@0.182825:0.807147:0.187171:0.807147:0.187171:0.798148:0.182825:0.798148:0.000000 5:@0.221131:0.812656:0.236464:0.812656:0.236464:0.798940:0.221131:0.798940:0.000000 , sí que :@0.286163:0.813211:0.340262:0.813211:0.340262:0.797498:0.286163:0.797498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 du e dx y v senx:@0.340133:0.813211:0.483099:0.813211:0.483099:0.797775:0.340133:0.797775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.361817:0.812656:0.377150:0.812656:0.377150:0.798940:0.361817:0.798940:0.000000 x:@0.388026:0.807147:0.392372:0.807147:0.392372:0.798148:0.388026:0.798148:0.000000 5:@0.433731:0.812656:0.449064:0.812656:0.449064:0.798940:0.433731:0.798940:0.000000 # :@0.072617:0.849948:0.082373:0.849948:0.082373:0.832293:0.072617:0.832293:0.000000:0.000000 e cosx dx:@0.083110:0.849365:0.150401:0.849360:0.150401:0.833925:0.083110:0.833930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.090929:0.843296:0.095275:0.843296:0.095275:0.834298:0.090929:0.834298:0.000000 :@0.150405:0.849360:0.174482:0.849360:0.174482:0.833647:0.150405:0.833647:0.000000:0.000000:0.000000 5:@0.155081:0.848805:0.170414:0.848805:0.170414:0.835090:0.155081:0.835090:0.000000 e senx senx e dx :@0.175126:0.849360:0.321698:0.849360:0.321698:0.833925:0.175126:0.833925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.182940:0.843296:0.187287:0.843296:0.187287:0.834298:0.182940:0.834298:0.000000 2:@0.222391:0.848805:0.237724:0.848805:0.237724:0.835090:0.222391:0.835090:0.000000 # :@0.241608:0.849943:0.251364:0.849943:0.251364:0.832288:0.241608:0.832288:0.000000:0.000000 x :@0.294994:0.843296:0.301293:0.843296:0.301293:0.834298:0.294994:0.834298:0.000000:0.000000 y en esta segunda integral hacemos nuevamente la :@0.322213:0.849360:0.709824:0.849360:0.709824:0.833647:0.322213:0.833647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sustitución :@0.072611:0.867638:0.257597:0.867641:0.257597:0.851928:0.072611:0.851926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.155885:0.867638:0.165199:0.867638:0.165199:0.852203:0.155885:0.852203:0.000000 5:@0.169083:0.867084:0.184416:0.867084:0.184416:0.853368:0.169083:0.853368:0.000000 e y dv:@0.188282:0.867638:0.234439:0.867641:0.234439:0.852206:0.188282:0.852203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.196008:0.861577:0.202243:0.861577:0.202243:0.852578:0.196008:0.852578:0.000000:0.000000 5:@0.238341:0.867086:0.253675:0.867086:0.253675:0.853371:0.238341:0.853371:0.000000 senx dx:@0.257523:0.867641:0.308972:0.867641:0.308972:0.852206:0.257523:0.852206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 así que :@0.288374:0.867641:0.409715:0.867641:0.409715:0.851928:0.288374:0.851928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 du:@0.368040:0.867641:0.386540:0.867641:0.386540:0.852206:0.368040:0.852206:0.000000:0.000000 5:@0.390442:0.867086:0.405775:0.867086:0.405775:0.853371:0.390442:0.853371:0.000000 e dx y v:@0.409641:0.867641:0.463142:0.867641:0.463142:0.852206:0.409641:0.852206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.417310:0.861577:0.423545:0.861577:0.423545:0.852578:0.417310:0.852578:0.000000:0.000000 :@0.440097:0.867641:0.486299:0.867641:0.486299:0.851928:0.440097:0.851928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.467026:0.867086:0.501558:0.867086:0.501558:0.853371:0.467026:0.853371:0.000000:0.000000:0.000000 cosx:@0.501466:0.867641:0.531772:0.867641:0.531772:0.852206:0.501466:0.852206:0.000000:0.000000:0.000000:0.000000 # :@0.206821:0.904378:0.216448:0.904378:0.216448:0.886724:0.206821:0.886724:0.000000:0.000000 e cosx dx:@0.216356:0.903795:0.281725:0.903791:0.281725:0.888356:0.216356:0.888360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.224066:0.897727:0.228412:0.897727:0.228412:0.888729:0.224066:0.888729:0.000000 :@0.281699:0.903791:0.304929:0.903791:0.304929:0.888078:0.281699:0.888078:0.000000:0.000000:0.000000 5:@0.285656:0.903236:0.300990:0.903236:0.300990:0.889521:0.285656:0.889521:0.000000 e senx :@0.304855:0.903791:0.369516:0.903791:0.369516:0.888356:0.304855:0.888356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.312564:0.897727:0.316911:0.897727:0.316911:0.888729:0.312564:0.888729:0.000000 2 2:@0.350962:0.903236:0.389580:0.903236:0.389580:0.889521:0.350962:0.889521:0.000000:0.000000:0.000000 (:@0.369443:0.903791:0.374321:0.903791:0.374321:0.888078:0.369443:0.888078:0.000000 e cosx :@0.389488:0.903791:0.438302:0.903791:0.438302:0.888356:0.389488:0.888356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.397209:0.897727:0.401556:0.897727:0.401556:0.888729:0.397209:0.888729:0.000000 2 2:@0.438257:0.903236:0.482324:0.903236:0.482324:0.889521:0.438257:0.889521:0.000000:0.000000:0.000000:0.000000 #:@0.458008:0.904374:0.463126:0.904374:0.463126:0.886719:0.458008:0.886719:0.000000 :@0.463034:0.903791:0.467065:0.903791:0.467065:0.888078:0.463034:0.888078:0.000000 cosx e dx:@0.482232:0.903791:0.547642:0.903791:0.547642:0.888356:0.482232:0.888356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.523455:0.897727:0.527801:0.897727:0.527801:0.888729:0.523455:0.888729:0.000000 ) :@0.547587:0.903791:0.556422:0.903791:0.556422:0.888078:0.547587:0.888078:0.000000:0.000000 5:@0.556330:0.903236:0.571663:0.903236:0.571663:0.889521:0.556330:0.889521:0.000000 # :@0.234810:0.940528:0.244437:0.940528:0.244437:0.922874:0.234810:0.922874:0.000000:0.000000 e cosx dx:@0.244345:0.939946:0.309739:0.939941:0.309739:0.924505:0.244345:0.924510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.252080:0.933877:0.256426:0.933877:0.256426:0.924878:0.252080:0.924878:0.000000 :@0.309713:0.939941:0.332943:0.939941:0.332943:0.924228:0.309713:0.924228:0.000000:0.000000:0.000000 5:@0.313670:0.939386:0.329004:0.939386:0.329004:0.925670:0.313670:0.925670:0.000000 e senx e cosx :@0.332869:0.939941:0.446279:0.939941:0.446279:0.924505:0.332869:0.924505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.340579:0.933877:0.344925:0.933877:0.344925:0.924878:0.340579:0.924878:0.000000 1:@0.378978:0.939386:0.394311:0.939386:0.394311:0.925670:0.378978:0.925670:0.000000 x:@0.405185:0.933877:0.409531:0.933877:0.409531:0.924878:0.405185:0.924878:0.000000 2 :@0.446235:0.939386:0.466078:0.939386:0.466078:0.925670:0.446235:0.925670:0.000000:0.000000 #:@0.465985:0.940523:0.471103:0.940523:0.471103:0.922869:0.465985:0.922869:0.000000 :@0.471011:0.939941:0.475042:0.939941:0.475042:0.924228:0.471011:0.924228:0.000000 cosx e dx.:@0.474968:0.939941:0.543634:0.939941:0.543634:0.924505:0.474968:0.924505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.516189:0.933877:0.520535:0.933877:0.520535:0.924878:0.516189:0.924878:0.000000 Cátedra de :@0.739070:0.142699:0.828392:0.142699:0.828392:0.125752:0.739070:0.125752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Educación :@0.739070:0.155306:0.824368:0.155306:0.824368:0.138359:0.739070:0.138359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ambiental:@0.739070:0.167912:0.819396:0.167912:0.819396:0.150965:0.739070:0.150965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Por qué usamos :@0.744288:0.188824:0.862290:0.188824:0.862290:0.173670:0.744288:0.173670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 integración por partes en :@0.744288:0.203953:0.918146:0.203953:0.918146:0.188799:0.744288:0.188799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la contaminación?:@0.744288:0.219082:0.867409:0.219082:0.867409:0.203928:0.744288:0.203928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Imagina un lago :@0.744288:0.234211:0.853112:0.234211:0.853112:0.219927:0.744288:0.219927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 contaminado. Para saber :@0.744288:0.249340:0.906762:0.249340:0.906762:0.235056:0.744288:0.235056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuánta \basura\ hay en :@0.744288:0.264469:0.894997:0.264469:0.894997:0.250185:0.744288:0.250185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 total, necesitamos calcular :@0.744288:0.279598:0.917253:0.279598:0.917253:0.265314:0.744288:0.265314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el área bajo la curva que :@0.744288:0.294727:0.903849:0.294727:0.903849:0.280443:0.744288:0.280443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 muestra cómo cambia :@0.744288:0.309856:0.893788:0.309856:0.893788:0.295572:0.744288:0.295572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la contaminación con el :@0.744288:0.324985:0.902641:0.324985:0.902641:0.310701:0.744288:0.310701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tiempo. La integración :@0.744288:0.340114:0.896096:0.340114:0.896096:0.325829:0.744288:0.325829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 por partes nos permite :@0.744288:0.355243:0.895621:0.355243:0.895621:0.340958:0.744288:0.340958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 calcular la cantidad :@0.744288:0.370372:0.871516:0.370372:0.871516:0.356087:0.744288:0.356087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 total de contaminante :@0.744288:0.385501:0.892118:0.385501:0.892118:0.371216:0.744288:0.371216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en un lago a partir :@0.744288:0.400629:0.865886:0.400629:0.865886:0.386345:0.744288:0.386345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de una función que :@0.744288:0.415758:0.874779:0.415758:0.874779:0.401474:0.744288:0.401474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 describe cómo cambia :@0.744288:0.430887:0.895723:0.430887:0.895723:0.416603:0.744288:0.416603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 esa contaminación :@0.744288:0.446016:0.870530:0.446016:0.870530:0.431732:0.744288:0.431732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con el tiempo. Es una :@0.744288:0.461145:0.885651:0.461145:0.885651:0.446861:0.744288:0.446861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 herramienta esencial :@0.744288:0.476274:0.882438:0.476274:0.882438:0.461990:0.744288:0.461990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 para entender y resolver :@0.744288:0.491403:0.903730:0.491403:0.903730:0.477119:0.744288:0.477119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 problemas ambientales. :@0.744288:0.506532:0.902545:0.506532:0.902545:0.492248:0.744288:0.492248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Esta curva suele ser :@0.744288:0.521661:0.872449:0.521661:0.872449:0.507377:0.744288:0.507377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 complicada, pero la :@0.744288:0.536790:0.874237:0.536790:0.874237:0.522506:0.744288:0.522506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 integración por partes :@0.744288:0.551919:0.897631:0.551919:0.897631:0.536765:0.744288:0.536765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nos permite \desarmarla\ :@0.744288:0.567048:0.910199:0.567048:0.910199:0.552764:0.744288:0.552764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en partes más sencillas. :@0.744288:0.582177:0.897751:0.582177:0.897751:0.567893:0.744288:0.567893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Es como resolver un :@0.744288:0.597306:0.877644:0.597306:0.877644:0.583021:0.744288:0.583021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 rompecabezas: dividimos :@0.744288:0.612435:0.912189:0.612435:0.912189:0.598150:0.744288:0.598150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una imagen grande en :@0.744288:0.627564:0.895706:0.627564:0.895706:0.613279:0.744288:0.613279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 piezas pequeñas para :@0.744288:0.642693:0.887865:0.642693:0.887865:0.628408:0.744288:0.628408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 luego armarla.:@0.744288:0.657821:0.836530:0.657821:0.836530:0.643537:0.744288:0.643537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t.ly/IlAc0:@0.766762:0.936466:0.829278:0.936466:0.829278:0.920754:0.766762:0.920754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Métodos de :@0.741917:0.807989:0.837703:0.807989:0.837703:0.791042:0.741917:0.791042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 integración:@0.741917:0.819333:0.830426:0.819333:0.830426:0.802386:0.741917:0.802386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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