﻿195:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
 :@0.108233:0.096194:0.112375:0.096194:0.112375:0.079697:0.108233:0.079697:0.000000
Aplicando la definición integral definida de una función escalona-:@0.131968:0.096194:0.595792:0.096194:0.595792:0.079697:0.131968:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da, y la suma de los   – 1 primeros números naturales, se tiene: :@0.131968:0.113545:0.581311:0.113545:0.581311:0.097047:0.131968:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.273009:0.113661:0.282372:0.113661:0.282372:0.097192:0.273009:0.097192:0.000000
 :@0.108233:0.139802:0.112375:0.139802:0.112375:0.123305:0.108233:0.123305:0.000000
     ( )  =     ( (  – 1) )  = :@0.214385:0.139802:0.422624:0.139806:0.422624:0.123309:0.214385:0.123305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x dx:@0.230953:0.139918:0.281488:0.139922:0.281488:0.123453:0.230953:0.123449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.240158:0.143152:0.245617:0.143152:0.245617:0.133550:0.240158:0.133550:0.000000
β:@0.323099:0.147393:0.333327:0.147393:0.333327:0.128394:0.323099:0.128394:0.000000
j:@0.341691:0.139922:0.345544:0.139922:0.345544:0.123453:0.341691:0.123453:0.000000
h h:@0.378777:0.139922:0.403533:0.139922:0.403533:0.123453:0.378777:0.123453:0.000000:0.000000:0.000000
β:@0.422622:0.147393:0.432849:0.147393:0.432849:0.128394:0.422622:0.128394:0.000000
h:@0.432853:0.139922:0.442254:0.139922:0.442254:0.123453:0.432853:0.123453:0.000000
2:@0.442254:0.133454:0.447207:0.133454:0.447207:0.123836:0.442254:0.123836:0.000000
     (  – 1):@0.447208:0.139806:0.513365:0.139806:0.513365:0.123309:0.447208:0.123309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.476279:0.139922:0.480132:0.139922:0.480132:0.123453:0.476279:0.123453:0.000000
=:@0.192077:0.174970:0.202885:0.174970:0.202885:0.158473:0.192077:0.158473:0.000000
β:@0.207024:0.182563:0.217251:0.182563:0.217251:0.163564:0.207024:0.163564:0.000000
h:@0.217254:0.175092:0.226656:0.175092:0.226656:0.158624:0.217254:0.158624:0.000000
2:@0.226656:0.168625:0.231609:0.168625:0.231609:0.159007:0.226656:0.159007:0.000000
                 =                          =          1 –      .:@0.231609:0.174977:0.535670:0.174977:0.535670:0.158479:0.231609:0.158479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.316973:0.182563:0.327200:0.182563:0.327200:0.163564:0.316973:0.163564:0.000000
β:@0.441559:0.182563:0.451786:0.182563:0.451786:0.163564:0.441559:0.163564:0.000000
  :@0.108232:0.192327:0.116516:0.192327:0.116516:0.175830:0.108232:0.175830:0.000000:0.000000
Para  suficientemente grande,      es suficientemente pequeño. Así,:@0.131968:0.209678:0.595463:0.209678:0.595463:0.193181:0.131968:0.193181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.165489:0.209794:0.174852:0.209794:0.174852:0.193325:0.165489:0.193325:0.000000
 :@0.108232:0.241285:0.112374:0.241285:0.112374:0.224788:0.108232:0.224788:0.000000
 lím      ( )  = lím :@0.219759:0.241285:0.362463:0.241285:0.362463:0.224788:0.219759:0.224788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x dx:@0.266169:0.241401:0.316708:0.241401:0.316708:0.224932:0.266169:0.224932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.275378:0.244630:0.280837:0.244630:0.280837:0.235028:0.275378:0.235028:0.000000
β      :@0.362461:0.248872:0.397013:0.248872:0.397013:0.229873:0.362461:0.229873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 1 –       =        .:@0.397962:0.241285:0.507985:0.241285:0.507985:0.224788:0.397962:0.224788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.470147:0.248872:0.480374:0.248872:0.480374:0.229873:0.470147:0.229873:0.000000
 :@0.108231:0.283115:0.112373:0.283115:0.112373:0.266617:0.108231:0.266617:0.000000
Puesto que el límite existe, la integral definida de   es::@0.131966:0.283115:0.505400:0.283115:0.505400:0.266617:0.131966:0.266617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.479546:0.283230:0.483842:0.283230:0.483842:0.266762:0.479546:0.266762:0.000000
 :@0.108231:0.309372:0.112373:0.309372:0.112373:0.292874:0.108231:0.292874:0.000000
      ( )  =    :@0.218275:0.309372:0.310671:0.309372:0.310671:0.292874:0.218275:0.292874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x dx:@0.238985:0.309488:0.279153:0.309488:0.279153:0.293019:0.238985:0.293019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.310667:0.316962:0.320895:0.316962:0.320895:0.297963:0.310667:0.297963:0.000000
xdx:@0.320898:0.309492:0.344980:0.309492:0.344980:0.293023:0.320898:0.293023:0.000000:0.000000:0.000000
 = lím     ( )  =        .:@0.344980:0.309376:0.509471:0.309376:0.509471:0.292878:0.344980:0.292878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x dx:@0.403161:0.309492:0.453699:0.309492:0.453699:0.293023:0.403161:0.293023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.412368:0.312720:0.417826:0.312720:0.417826:0.303119:0.412368:0.303119:0.000000
β:@0.472789:0.316962:0.483016:0.316962:0.483016:0.297963:0.472789:0.297963:0.000000
 :@0.108234:0.344077:0.112376:0.344077:0.112376:0.327580:0.108234:0.327580:0.000000
Escribimos:      ( ):@0.131968:0.344077:0.256188:0.344077:0.256188:0.327580:0.131968:0.327580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x dx :@0.232511:0.344193:0.276821:0.344193:0.276821:0.327724:0.232511:0.327724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=    :@0.276821:0.344077:0.304197:0.344077:0.304197:0.327580:0.276821:0.327580:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.304204:0.351664:0.314432:0.351664:0.314432:0.332665:0.304204:0.332665:0.000000
xdx:@0.314435:0.344193:0.338517:0.344193:0.338517:0.327724:0.314435:0.327724:0.000000:0.000000:0.000000
 =        |   =        .:@0.338517:0.344077:0.460599:0.344077:0.460599:0.327580:0.338517:0.327580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.357606:0.351664:0.367833:0.351664:0.367833:0.332665:0.357606:0.332665:0.000000
β:@0.423917:0.351664:0.434144:0.351664:0.434144:0.332665:0.423917:0.332665:0.000000
 :@0.108237:0.361428:0.112379:0.361428:0.112379:0.344930:0.108237:0.344930:0.000000
 :@0.108237:0.378779:0.112379:0.378779:0.112379:0.362281:0.108237:0.362281:0.000000
A la integral indefinida de la función   la designamos con:@0.131973:0.378779:0.533031:0.378779:0.533031:0.362281:0.131973:0.362281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.393572:0.378895:0.397868:0.378895:0.397868:0.362426:0.393572:0.362426:0.000000
 :@0.108237:0.403257:0.112379:0.403257:0.112379:0.386760:0.108237:0.386760:0.000000
F x:@0.131973:0.403373:0.152953:0.403373:0.152953:0.386904:0.131973:0.386904:0.000000:0.000000:0.000000
( ) =       +  ,         , siendo      . Resulta, entonces, que::@0.139525:0.403257:0.578741:0.403257:0.578741:0.386760:0.139525:0.386760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.194566:0.403373:0.202041:0.403373:0.202041:0.386904:0.194566:0.386904:0.000000
2:@0.202043:0.396906:0.206996:0.396906:0.206996:0.387287:0.202043:0.387287:0.000000
k:@0.226087:0.403373:0.234333:0.403373:0.234333:0.386904:0.226087:0.386904:0.000000
∀:@0.253656:0.410844:0.265228:0.410844:0.265228:0.391845:0.253656:0.391845:0.000000
x:@0.265235:0.403373:0.272710:0.403373:0.272710:0.386904:0.265235:0.386904:0.000000
:@0.276853:0.402739:0.291505:0.402739:0.291505:0.389365:0.276853:0.389365:0.000000
:@0.295647:0.402170:0.308952:0.402170:0.308952:0.389308:0.295647:0.389308:0.000000
k:@0.366898:0.403373:0.375144:0.403373:0.375144:0.386904:0.366898:0.386904:0.000000
:@0.379287:0.402739:0.393939:0.402739:0.393939:0.389365:0.379287:0.389365:0.000000
:@0.398081:0.402170:0.411386:0.402170:0.411386:0.389308:0.398081:0.389308:0.000000
 :@0.108228:0.434865:0.112370:0.434865:0.112370:0.418367:0.108228:0.418367:0.000000
F b:@0.131963:0.434980:0.154734:0.434980:0.154734:0.418511:0.131963:0.418511:0.000000:0.000000:0.000000
( ) –  (0) =        +   –       × 0  +    =        =        |  .:@0.139515:0.434865:0.505916:0.434865:0.505916:0.418367:0.139515:0.418367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.179471:0.434980:0.187023:0.434980:0.187023:0.418511:0.179471:0.418511:0.000000
b:@0.245782:0.434980:0.255049:0.434980:0.255049:0.418511:0.245782:0.418511:0.000000
2:@0.255059:0.428512:0.260013:0.428512:0.260013:0.418893:0.255059:0.418893:0.000000
k:@0.279105:0.434980:0.287351:0.434980:0.287351:0.418511:0.279105:0.418511:0.000000
2:@0.350578:0.428512:0.355531:0.428512:0.355531:0.418893:0.350578:0.418893:0.000000
k:@0.374622:0.434980:0.382868:0.434980:0.382868:0.418511:0.374622:0.418511:0.000000
β:@0.406101:0.442451:0.416328:0.442451:0.416328:0.423452:0.406101:0.423452:0.000000
β:@0.456133:0.442451:0.466361:0.442451:0.466361:0.423452:0.456133:0.423452:0.000000
  :@0.108242:0.452215:0.116526:0.452215:0.116526:0.435718:0.108242:0.435718:0.000000:0.000000
 :@0.108242:0.469566:0.112384:0.469566:0.112384:0.453068:0.108242:0.453068:0.000000
Conclusión:@0.131976:0.470029:0.218458:0.470029:0.218458:0.453083:0.131976:0.453083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.108241:0.494045:0.120668:0.494044:0.120668:0.477547:0.108241:0.477547:0.000000:0.000000:0.000000
a S:@0.131976:0.494160:0.154786:0.494160:0.154786:0.477691:0.131976:0.477691:0.000000:0.000000:0.000000
( ) =       =      ( ):@0.140954:0.494044:0.272324:0.494044:0.272324:0.477547:0.140954:0.477547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bc:@0.196399:0.494160:0.212987:0.494160:0.212987:0.477691:0.196399:0.477691:0.000000:0.000000
f x dx :@0.248647:0.494160:0.292957:0.494160:0.292957:0.477691:0.248647:0.477691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=          :@0.292957:0.494044:0.345185:0.494044:0.345185:0.477547:0.292957:0.477547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xdx:@0.345185:0.494160:0.369265:0.494160:0.369265:0.477691:0.345185:0.477691:0.000000:0.000000:0.000000
 =           |   .:@0.369266:0.494044:0.449969:0.494044:0.449969:0.477547:0.369266:0.477547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si ( ) = 6  –     ,     [0, 4], obtenemos: :@0.131976:0.525652:0.404838:0.525652:0.404838:0.509154:0.131976:0.509154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f t:@0.147928:0.525767:0.163841:0.525767:0.163841:0.509299:0.147928:0.509299:0.000000:0.000000:0.000000
t:@0.197382:0.525767:0.203046:0.525767:0.203046:0.509299:0.197382:0.509299:0.000000
t:@0.245294:0.525767:0.250958:0.525767:0.250958:0.509299:0.245294:0.509299:0.000000
:@0.255098:0.525133:0.269750:0.525133:0.269750:0.511760:0.255098:0.511760:0.000000
 :@0.108230:0.557259:0.112372:0.557259:0.112372:0.540761:0.108230:0.540761:0.000000
F x:@0.131964:0.557375:0.152944:0.557375:0.152944:0.540906:0.131964:0.540906:0.000000:0.000000:0.000000
( ) –  (c) =      ( )  =       6t –        = 3  –       –   3  –       ,:@0.139516:0.557259:0.567927:0.557258:0.567927:0.540760:0.139516:0.540761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.177681:0.557375:0.185233:0.557375:0.185233:0.540906:0.177681:0.540906:0.000000
f t dt:@0.240736:0.557375:0.277340:0.557375:0.277340:0.540906:0.240736:0.540906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dt:@0.375516:0.557375:0.390254:0.557375:0.390254:0.540906:0.375516:0.540906:0.000000:0.000000
x:@0.417842:0.557375:0.425317:0.557375:0.425317:0.540906:0.417842:0.540906:0.000000
2:@0.425324:0.550906:0.430277:0.550906:0.430277:0.541288:0.425324:0.541288:0.000000
x:@0.465628:0.557373:0.473103:0.557373:0.473103:0.540905:0.465628:0.540905:0.000000
c:@0.506353:0.557373:0.513539:0.557373:0.513539:0.540905:0.506353:0.540905:0.000000
2:@0.513539:0.550906:0.518492:0.550906:0.518492:0.541288:0.513539:0.541288:0.000000
c:@0.557986:0.557373:0.565172:0.557373:0.565172:0.540905:0.557986:0.540905:0.000000
 :@0.108239:0.578165:0.112381:0.578165:0.112381:0.561668:0.108239:0.561668:0.000000
x c:@0.131973:0.578281:0.153531:0.578281:0.153531:0.561812:0.131973:0.561812:0.000000:0.000000:0.000000
,     [0, 4].:@0.139448:0.578165:0.214827:0.578173:0.214827:0.561675:0.139448:0.561668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.157676:0.577654:0.172329:0.577654:0.172329:0.564281:0.157676:0.564281:0.000000
 :@0.108232:0.609852:0.112374:0.609852:0.112374:0.593354:0.108232:0.593354:0.000000
Nota que       ( ) = 6  –      =  ( ),       [0, 4].:@0.131968:0.609852:0.443790:0.609857:0.443790:0.593359:0.131968:0.593354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.234573:0.609968:0.242048:0.609968:0.242048:0.593499:0.234573:0.593499:0.000000
x:@0.275588:0.609968:0.283063:0.609968:0.283063:0.593499:0.275588:0.593499:0.000000
f x:@0.336158:0.609968:0.353882:0.609968:0.353882:0.593499:0.336158:0.593499:0.000000:0.000000:0.000000
x:@0.375016:0.609968:0.382491:0.609968:0.382491:0.593499:0.375016:0.593499:0.000000
:@0.386638:0.609338:0.401290:0.609338:0.401290:0.595965:0.386638:0.595965:0.000000
 :@0.108228:0.644558:0.112370:0.644558:0.112370:0.628061:0.108228:0.628061:0.000000
Particularmente, si   = 0,   = 1, tenemos: :@0.131963:0.644558:0.419632:0.644558:0.419632:0.628061:0.131963:0.628061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.266588:0.644674:0.273774:0.644674:0.273774:0.628205:0.266588:0.628205:0.000000
x:@0.308259:0.644674:0.315734:0.644674:0.315734:0.628205:0.308259:0.628205:0.000000
 :@0.108228:0.670816:0.112370:0.670816:0.112370:0.654318:0.108228:0.654318:0.000000
     ( )  =      6  –        = 3 × 1  –     × 1 –  3 × 0  –     × 0   =     .:@0.131963:0.670816:0.582686:0.670818:0.582686:0.654321:0.131963:0.654318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f t dt:@0.148531:0.670932:0.185135:0.670932:0.185135:0.654463:0.148531:0.654463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.234396:0.670932:0.240060:0.670932:0.240060:0.654463:0.234396:0.654463:0.000000
dt:@0.279554:0.670932:0.294292:0.670932:0.294292:0.654463:0.279554:0.654463:0.000000:0.000000
2:@0.349478:0.664467:0.354431:0.664467:0.354431:0.654849:0.349478:0.654849:0.000000
2:@0.472236:0.664467:0.477189:0.664467:0.477189:0.654849:0.472236:0.654849:0.000000
iii):@0.108241:0.712865:0.127294:0.712865:0.127294:0.696151:0.108241:0.696151:0.000000:0.000000:0.000000:0.000000
 Integral definida de una función cuadrática restringida a [0,  ]. Sea :@0.127294:0.712649:0.599847:0.712649:0.599847:0.696151:0.127294:0.696151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.550007:0.712765:0.559274:0.712765:0.559274:0.696296:0.550007:0.696296:0.000000
β:@0.131976:0.737586:0.142204:0.737586:0.142204:0.718587:0.131976:0.718587:0.000000
   :@0.142207:0.730000:0.165143:0.730000:0.165143:0.713502:0.142207:0.713502:0.000000:0.000000:0.000000
:@0.146350:0.729481:0.161002:0.729481:0.161002:0.716108:0.146350:0.716108:0.000000
:@0.165143:0.728913:0.178447:0.728913:0.178447:0.716051:0.165143:0.716051:0.000000
+:@0.178447:0.723647:0.184748:0.723647:0.184748:0.714029:0.178447:0.714029:0.000000
 con   > 0.  Consideramos la función definida como:@0.184748:0.730000:0.553924:0.730000:0.553924:0.713502:0.184748:0.713502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.219985:0.737586:0.230212:0.737586:0.230212:0.718587:0.219985:0.718587:0.000000
 :@0.108227:0.747350:0.112369:0.747350:0.112369:0.730853:0.108227:0.730853:0.000000
f x:@0.131963:0.747466:0.149687:0.747466:0.149687:0.730997:0.131963:0.730997:0.000000:0.000000:0.000000
( ) = :@0.136259:0.747350:0.174732:0.747350:0.174732:0.730853:0.136259:0.730853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.174745:0.754937:0.184972:0.754937:0.184972:0.735938:0.174745:0.735938:0.000000
x:@0.184974:0.747466:0.192449:0.747466:0.192449:0.730997:0.184974:0.730997:0.000000
2:@0.192449:0.740997:0.197402:0.740997:0.197402:0.731379:0.192449:0.731379:0.000000
,        [0,  ]:@0.197403:0.747350:0.295088:0.747350:0.295088:0.730853:0.197403:0.730853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.216725:0.754937:0.228297:0.754937:0.228297:0.735938:0.216725:0.735938:0.000000
x:@0.228306:0.747466:0.235781:0.747466:0.235781:0.730997:0.228306:0.730997:0.000000
:@0.239922:0.746832:0.254574:0.746832:0.254574:0.733458:0.239922:0.733458:0.000000
b:@0.279965:0.747466:0.289232:0.747466:0.289232:0.730997:0.279965:0.730997:0.000000
 :@0.108235:0.776022:0.112377:0.776022:0.112377:0.759524:0.108235:0.759524:0.000000
Nos proponemos calcular la :@0.131970:0.776022:0.335794:0.776022:0.335794:0.759524:0.131970:0.759524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral de Riemann:@0.335794:0.776485:0.491049:0.776485:0.491049:0.759539:0.335794:0.759539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de  , esto es, :@0.491049:0.776022:0.583753:0.776022:0.583753:0.759524:0.491049:0.759524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.517192:0.776138:0.521488:0.776138:0.521488:0.759669:0.517192:0.759669:0.000000
 :@0.108235:0.800502:0.112377:0.800502:0.112377:0.784004:0.108235:0.784004:0.000000
    :@0.131970:0.800502:0.148538:0.800502:0.148538:0.784004:0.131970:0.784004:0.000000:0.000000:0.000000:0.000000
β:@0.148544:0.808082:0.158772:0.808082:0.158772:0.789083:0.148544:0.789083:0.000000
x dx:@0.158775:0.800611:0.187693:0.800611:0.187693:0.784142:0.158775:0.784142:0.000000:0.000000:0.000000:0.000000
2:@0.166250:0.794142:0.171203:0.794142:0.171203:0.784524:0.166250:0.784524:0.000000
.  Para el efecto, sea      ,   =     ,    =  ,    = 0,1, …,  .:@0.187693:0.800495:0.577255:0.800495:0.577255:0.783998:0.187693:0.783998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.326728:0.800611:0.336091:0.800611:0.336091:0.784142:0.326728:0.784142:0.000000
:@0.340234:0.799977:0.354886:0.799977:0.354886:0.786603:0.340234:0.786603:0.000000
Z:@0.359028:0.799408:0.371319:0.799408:0.371319:0.786546:0.359028:0.786546:0.000000
+:@0.371318:0.794142:0.377619:0.794142:0.377619:0.784524:0.371318:0.784524:0.000000
h:@0.384517:0.800611:0.393918:0.800611:0.393918:0.784142:0.384517:0.784142:0.000000
x:@0.440617:0.800611:0.448092:0.800611:0.448092:0.784142:0.440617:0.784142:0.000000
j:@0.448091:0.803839:0.450337:0.803839:0.450337:0.794238:0.448091:0.794238:0.000000
jh j:@0.469427:0.800611:0.497458:0.800611:0.497458:0.784142:0.469427:0.784142:0.000000:0.000000:0.000000:0.000000
n:@0.565137:0.800611:0.574500:0.800611:0.574500:0.784142:0.565137:0.784142:0.000000
 :@0.108243:0.835197:0.112385:0.835197:0.112385:0.818699:0.108243:0.818699:0.000000
Se define la sucesión de funciones escalonadas ( ) como sigue::@0.131978:0.835197:0.582475:0.835197:0.582475:0.818699:0.131978:0.818699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.473179:0.835312:0.482446:0.835312:0.482446:0.818844:0.473179:0.818844:0.000000
n:@0.482384:0.838541:0.487843:0.838541:0.487843:0.828940:0.482384:0.828940:0.000000
p x:@0.189772:0.859791:0.217870:0.859791:0.217870:0.843322:0.189772:0.843323:0.000000:0.000000:0.000000
n:@0.198984:0.863021:0.204443:0.863021:0.204443:0.853419:0.198984:0.853419:0.000000
( ) =  (:@0.204442:0.859675:0.253164:0.859675:0.253164:0.843177:0.204442:0.843177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.242915:0.859791:0.260639:0.859791:0.260639:0.843322:0.242915:0.843322:0.000000:0.000000:0.000000
j:@0.260636:0.863021:0.262883:0.863021:0.262883:0.853419:0.260636:0.853419:0.000000
–1:@0.262883:0.862953:0.273957:0.862953:0.273957:0.853335:0.262883:0.853335:0.000000:0.000000
) = :@0.273958:0.859675:0.299003:0.859675:0.299003:0.843177:0.273958:0.843177:0.000000:0.000000:0.000000:0.000000
β:@0.299003:0.867262:0.309230:0.867262:0.309230:0.848263:0.299003:0.848263:0.000000
x:@0.309232:0.859791:0.316707:0.859791:0.316707:0.843322:0.309232:0.843322:0.000000
2:@0.316707:0.853323:0.321660:0.853323:0.321660:0.843705:0.316707:0.843705:0.000000
j:@0.321660:0.863017:0.323906:0.863017:0.323906:0.853416:0.321660:0.853416:0.000000
–1:@0.323906:0.862950:0.334980:0.862950:0.334980:0.853332:0.323906:0.853332:0.000000:0.000000
 =  (  – 1):@0.334980:0.859675:0.407342:0.859675:0.407342:0.843177:0.334980:0.843177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.354073:0.867262:0.364300:0.867262:0.364300:0.848263:0.354073:0.848263:0.000000
j:@0.370256:0.859791:0.374110:0.859791:0.374110:0.843322:0.370256:0.843322:0.000000
2 2:@0.407340:0.853323:0.426649:0.853323:0.426649:0.843705:0.407340:0.843705:0.000000:0.000000:0.000000
h:@0.412294:0.859791:0.421696:0.859791:0.421696:0.843322:0.412294:0.843322:0.000000
,     = 1, …,  .:@0.426648:0.859675:0.514227:0.859675:0.514227:0.843177:0.426648:0.843177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.441829:0.859791:0.445682:0.859791:0.445682:0.843322:0.441829:0.843322:0.000000
n:@0.502110:0.859791:0.511472:0.859791:0.511472:0.843322:0.502110:0.843322:0.000000
 :@0.108232:0.891355:0.112374:0.891355:0.112374:0.874858:0.108232:0.874858:0.000000
Entonces, aplicando la definición integral definida de una función :@0.131966:0.891355:0.599935:0.891355:0.599935:0.874858:0.131966:0.874858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalonada, y la suma de los cuadrados de los   – 1 primeros nú-:@0.131966:0.908706:0.595772:0.908706:0.595772:0.892208:0.131966:0.892208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.461514:0.908822:0.470877:0.908822:0.470877:0.892353:0.461514:0.892353:0.000000
meros naturales, se tiene::@0.131966:0.926057:0.308721:0.926057:0.308721:0.909559:0.131966:0.909559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que…:@0.684804:0.132207:0.794564:0.132207:0.794564:0.116735:0.684804:0.116735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La integral definida nos :@0.685042:0.160835:0.839672:0.160835:0.839672:0.145771:0.685042:0.145771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sirve para calcular el área bajo :@0.638498:0.176677:0.834256:0.176677:0.834256:0.161613:0.638498:0.161613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una curva:@0.638498:0.192519:0.702931:0.192519:0.702931:0.177455:0.638498:0.177455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     ( ) .:@0.638498:0.215489:0.692816:0.215489:0.692816:0.200426:0.638498:0.200426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x dx:@0.653626:0.215595:0.690301:0.215595:0.690301:0.200558:0.653626:0.200558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La integral definida de la fun-:@0.638498:0.238460:0.827625:0.238460:0.827625:0.223397:0.638498:0.223397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción  ( ) en el intervalo [ ,  ] :@0.638498:0.254302:0.828627:0.254302:0.828627:0.239239:0.638498:0.239239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.670495:0.254408:0.686677:0.254408:0.686677:0.239371:0.670495:0.239371:0.000000:0.000000:0.000000
a b:@0.796543:0.254408:0.819498:0.254408:0.819498:0.239371:0.796543:0.239371:0.000000:0.000000:0.000000
representa el área de la región :@0.638498:0.270144:0.834572:0.270144:0.834572:0.255081:0.638498:0.255081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del plano correspondiente entre :@0.638498:0.285986:0.850439:0.285986:0.850439:0.270923:0.638498:0.270923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la gráfica de la función  ( ), el :@0.638498:0.301828:0.830351:0.301828:0.830351:0.286765:0.638498:0.286765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.787976:0.301934:0.804159:0.301934:0.804159:0.286897:0.787976:0.286897:0.000000:0.000000:0.000000
eje de abscisas   = 0 y las rectas :@0.638498:0.317670:0.845002:0.317670:0.845002:0.302607:0.638498:0.302607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.735453:0.317776:0.742471:0.317776:0.742471:0.302739:0.735453:0.302739:0.000000
x a x b:@0.638498:0.333618:0.718375:0.333618:0.718375:0.318581:0.638498:0.318581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =   y   =  .:@0.645323:0.333512:0.720890:0.333512:0.720890:0.318449:0.645323:0.318449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.684804:0.575900:0.827156:0.575900:0.827156:0.560427:0.684804:0.560427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen muchos :@0.685042:0.604527:0.790932:0.604527:0.790932:0.589464:0.685042:0.589464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
softwa-:@0.790932:0.604633:0.837565:0.604633:0.837565:0.589596:0.790932:0.589596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
res:@0.638498:0.620475:0.656264:0.620475:0.656264:0.605438:0.638498:0.605438:0.000000:0.000000:0.000000
 libres que permiten obtener :@0.656264:0.620369:0.844882:0.620369:0.844882:0.605306:0.656264:0.605306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculos matemáticos, por :@0.638498:0.636211:0.811670:0.636211:0.811670:0.621148:0.638498:0.621148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, el cálculo de la integral :@0.638498:0.652053:0.848609:0.652053:0.848609:0.636990:0.638498:0.636990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definida. El programa :@0.638498:0.667895:0.780061:0.667895:0.780061:0.652832:0.638498:0.652832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DERIVE :@0.780061:0.668001:0.831158:0.668001:0.831158:0.652964:0.780061:0.652964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
for Windows :@0.638498:0.683843:0.723104:0.683843:0.723104:0.668806:0.638498:0.668806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permite realizar :@0.723104:0.683737:0.827238:0.683737:0.827238:0.668674:0.723104:0.668674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculos y manipulaciones ma-:@0.638498:0.699579:0.837121:0.699579:0.837121:0.684516:0.638498:0.684516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temáticas de carácter general.:@0.638498:0.715421:0.830136:0.715421:0.830136:0.700358:0.638498:0.700358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.638503:0.830197:0.686489:0.830197:0.686489:0.814936:0.638503:0.814936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente enlace para :@0.686489:0.829999:0.843179:0.829999:0.843179:0.814936:0.686489:0.814936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que conozcas acerca del mane-:@0.638503:0.845841:0.840736:0.845841:0.840736:0.830778:0.638503:0.830778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
jo de este :@0.638503:0.861683:0.704165:0.861683:0.704165:0.846620:0.638503:0.846620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
software:@0.704165:0.861789:0.758130:0.861789:0.758130:0.846752:0.704165:0.846752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.758133:0.861683:0.760648:0.861683:0.760648:0.846620:0.758133:0.846620:0.000000
lynk.ec/13m14:@0.638503:0.884984:0.736392:0.884984:0.736392:0.869670:0.638503:0.869670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∫:@0.639978:0.219595:0.646390:0.219595:0.648617:0.195689:0.642205:0.195689:0.000000
b:@0.649825:0.201896:0.654757:0.201896:0.654757:0.193130:0.649825:0.193130:0.000000
0:@0.645272:0.221629:0.649794:0.221629:0.649794:0.212848:0.645272:0.212848:0.000000
∫:@0.213705:0.142567:0.220728:0.142567:0.223168:0.116383:0.216145:0.116383:0.000000
b:@0.224490:0.123182:0.229892:0.123182:0.229892:0.113581:0.224490:0.113581:0.000000
0:@0.219503:0.144795:0.224456:0.144795:0.224456:0.135177:0.219503:0.135177:0.000000
∫:@0.253911:0.244221:0.260934:0.244221:0.263373:0.218037:0.256351:0.218037:0.000000
b:@0.264695:0.224835:0.270098:0.224835:0.270098:0.215233:0.264695:0.215233:0.000000
0:@0.259709:0.246448:0.264662:0.246448:0.264662:0.236830:0.259709:0.236830:0.000000
∫:@0.221259:0.313345:0.228282:0.313345:0.230721:0.287161:0.223698:0.287161:0.000000
b:@0.232043:0.293959:0.237446:0.293959:0.237446:0.284357:0.232043:0.284357:0.000000
0:@0.227056:0.315572:0.232010:0.315572:0.232010:0.305954:0.227056:0.305954:0.000000
∫:@0.213359:0.348549:0.220381:0.348549:0.222821:0.322366:0.215798:0.322366:0.000000
b:@0.224141:0.329163:0.229544:0.329163:0.229544:0.319562:0.224141:0.319562:0.000000
0:@0.219154:0.350776:0.224108:0.350776:0.224108:0.341158:0.219154:0.341158:0.000000
∫:@0.224886:0.561864:0.231909:0.561864:0.234348:0.535681:0.227325:0.535681:0.000000
x:@0.236193:0.542479:0.240551:0.542479:0.240551:0.532878:0.236193:0.532878:0.000000
0:@0.230689:0.564093:0.235643:0.564093:0.235643:0.554475:0.230689:0.554475:0.000000
∫:@0.134173:0.676457:0.141196:0.676457:0.143636:0.650274:0.136613:0.650274:0.000000
1:@0.145182:0.657003:0.150135:0.657003:0.150135:0.647385:0.145182:0.647385:0.000000
0:@0.139971:0.678684:0.144924:0.678684:0.144924:0.669066:0.139971:0.669066:0.000000
∫:@0.204533:0.676457:0.211556:0.676457:0.213996:0.650274:0.206973:0.650274:0.000000
1:@0.215542:0.657003:0.220495:0.657003:0.220495:0.647385:0.215542:0.647385:0.000000
0:@0.210331:0.678684:0.215284:0.678684:0.215284:0.669066:0.210331:0.669066:0.000000
∫:@0.296393:0.561864:0.303416:0.561864:0.305856:0.535681:0.298833:0.535681:0.000000
x:@0.307700:0.542479:0.312058:0.542479:0.312058:0.532878:0.307700:0.532878:0.000000
0:@0.302197:0.564093:0.307150:0.564093:0.307150:0.554475:0.302197:0.554475:0.000000
∫:@0.230928:0.498395:0.237951:0.498395:0.240391:0.472212:0.233368:0.472212:0.000000
b:@0.241711:0.479009:0.247114:0.479009:0.247114:0.469408:0.241711:0.469408:0.000000
0:@0.236724:0.500623:0.241677:0.500623:0.241677:0.491005:0.236724:0.491005:0.000000
∫:@0.306314:0.498395:0.313337:0.498395:0.315777:0.472212:0.308754:0.472212:0.000000
b:@0.317097:0.479009:0.322499:0.479009:0.322499:0.469408:0.317097:0.469408:0.000000
0:@0.312110:0.500623:0.317063:0.500623:0.317063:0.491005:0.312110:0.491005:0.000000
∫:@0.298320:0.313345:0.305343:0.313345:0.307782:0.287161:0.300759:0.287161:0.000000
b:@0.309104:0.293959:0.314507:0.293959:0.314507:0.284357:0.309104:0.284357:0.000000
0:@0.304117:0.315572:0.309071:0.315572:0.309071:0.305954:0.304117:0.305954:0.000000
∫:@0.290420:0.348549:0.297442:0.348549:0.299882:0.322366:0.292859:0.322366:0.000000
b:@0.301202:0.329163:0.306605:0.329163:0.306605:0.319562:0.301202:0.319562:0.000000
0:@0.296215:0.350776:0.301169:0.350776:0.301169:0.341158:0.296215:0.341158:0.000000
∫:@0.390458:0.313345:0.397481:0.313345:0.399921:0.287161:0.392898:0.287161:0.000000
b:@0.401243:0.293959:0.406645:0.293959:0.406645:0.284357:0.401243:0.284357:0.000000
0:@0.396256:0.315572:0.401209:0.315572:0.401209:0.305954:0.396256:0.305954:0.000000
∑:@0.298503:0.142755:0.313882:0.142755:0.313882:0.116933:0.298503:0.116933:0.000000
n:@0.303938:0.123388:0.309397:0.123388:0.309397:0.113787:0.303938:0.113787:0.000000
j:@0.299917:0.148449:0.302163:0.148449:0.302163:0.138848:0.299917:0.138848:0.000000
=1:@0.302163:0.148382:0.313417:0.148382:0.313417:0.138764:0.302163:0.138764:0.000000:0.000000
∑:@0.449275:0.142755:0.464654:0.142755:0.464654:0.116933:0.449275:0.116933:0.000000
n:@0.454709:0.123388:0.460168:0.123388:0.460168:0.113787:0.454709:0.113787:0.000000
i:@0.450711:0.148449:0.452924:0.148449:0.452924:0.138848:0.450711:0.138848:0.000000
=1:@0.452924:0.148382:0.464178:0.148382:0.464178:0.138764:0.452924:0.138764:0.000000:0.000000
n n:@0.237131:0.167413:0.261810:0.167413:0.261810:0.150944:0.237131:0.150944:0.000000:0.000000:0.000000
(  – 1):@0.246494:0.167297:0.295042:0.167297:0.295042:0.150799:0.246494:0.150799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.261829:0.183636:0.270325:0.183636:0.270325:0.167138:0.261829:0.167138:0.000000
n n:@0.362536:0.167413:0.387215:0.167413:0.387215:0.150944:0.362536:0.150944:0.000000:0.000000:0.000000
(  – 1):@0.371899:0.167297:0.420447:0.167297:0.420447:0.150799:0.371899:0.150799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.387234:0.183636:0.395730:0.183636:0.395730:0.167138:0.387234:0.167138:0.000000
b:@0.337260:0.167413:0.346527:0.167413:0.346527:0.150944:0.337260:0.150944:0.000000
n:@0.337202:0.183751:0.346565:0.183751:0.346565:0.167283:0.337202:0.167283:0.000000
1:@0.514271:0.167297:0.522767:0.167297:0.522767:0.150799:0.514271:0.150799:0.000000
n:@0.513847:0.183751:0.523210:0.183751:0.523210:0.167283:0.513847:0.167283:0.000000
1:@0.433859:0.233924:0.442355:0.233924:0.442355:0.217426:0.433859:0.217426:0.000000
n:@0.433436:0.250378:0.442799:0.250378:0.442799:0.233910:0.433436:0.233910:0.000000
1:@0.352657:0.202283:0.361153:0.202283:0.361153:0.185785:0.352657:0.185785:0.000000
n:@0.352233:0.218737:0.361596:0.218737:0.361596:0.202268:0.352233:0.202268:0.000000
b:@0.456035:0.167413:0.465301:0.167413:0.465301:0.150944:0.456035:0.150944:0.000000
2:@0.465300:0.160944:0.470254:0.160944:0.470254:0.151326:0.465300:0.151326:0.000000
2:@0.458896:0.183642:0.467392:0.183642:0.467392:0.167144:0.458896:0.167144:0.000000
b:@0.378684:0.234009:0.387950:0.234009:0.387950:0.217541:0.378684:0.217541:0.000000
2:@0.387949:0.227542:0.392903:0.227542:0.392903:0.217924:0.387949:0.217924:0.000000
2:@0.381545:0.250239:0.390041:0.250239:0.390041:0.233741:0.381545:0.233741:0.000000
b:@0.486492:0.234009:0.495759:0.234009:0.495759:0.217541:0.486492:0.217541:0.000000
2:@0.495760:0.227542:0.500713:0.227542:0.500713:0.217924:0.495760:0.217924:0.000000
2:@0.489353:0.250239:0.497849:0.250239:0.497849:0.233741:0.489353:0.233741:0.000000
b:@0.488378:0.302121:0.497645:0.302121:0.497645:0.285652:0.488378:0.285652:0.000000
2:@0.497646:0.295654:0.502599:0.295654:0.502599:0.286036:0.497646:0.286036:0.000000
2:@0.491240:0.318350:0.499736:0.318350:0.499736:0.301853:0.491240:0.301853:0.000000
x:@0.371783:0.337326:0.379258:0.337326:0.379258:0.320857:0.371783:0.320857:0.000000
2:@0.379258:0.330858:0.384212:0.330858:0.384212:0.321240:0.379258:0.321240:0.000000
2:@0.373750:0.353555:0.382246:0.353555:0.382246:0.337057:0.373750:0.337057:0.000000
x:@0.472298:0.428030:0.479773:0.428030:0.479773:0.411561:0.472298:0.411561:0.000000
2:@0.479773:0.421562:0.484726:0.421562:0.484726:0.411944:0.479773:0.411944:0.000000
2:@0.474265:0.444259:0.482761:0.444259:0.482761:0.427761:0.474265:0.427761:0.000000
x:@0.408587:0.487093:0.416062:0.487093:0.416062:0.470624:0.408587:0.470624:0.000000
2:@0.416060:0.480625:0.421013:0.480625:0.421013:0.471007:0.416060:0.471007:0.000000
2:@0.410552:0.503322:0.419048:0.503322:0.419048:0.486824:0.410552:0.486824:0.000000
b:@0.436711:0.337326:0.445977:0.337326:0.445977:0.320857:0.436711:0.320857:0.000000
2:@0.445976:0.330858:0.450930:0.330858:0.450930:0.321240:0.445976:0.321240:0.000000
2:@0.439572:0.353555:0.448068:0.353555:0.448068:0.337057:0.439572:0.337057:0.000000
b:@0.421144:0.428020:0.430411:0.428020:0.430411:0.411551:0.421144:0.411551:0.000000
2:@0.430412:0.421552:0.435365:0.421552:0.435365:0.411934:0.430412:0.411934:0.000000
2:@0.424007:0.444249:0.432503:0.444249:0.432503:0.427751:0.424007:0.427751:0.000000
2:@0.353041:0.160449:0.357994:0.160449:0.357994:0.150831:0.353041:0.150831:0.000000
n:@0.222186:0.248525:0.228292:0.248525:0.228292:0.237785:0.222186:0.237785:0.000000
→:@0.228292:0.247843:0.239040:0.247843:0.239040:0.237832:0.228292:0.237832:0.000000
∞:@0.239039:0.248450:0.247721:0.248450:0.247721:0.237690:0.239039:0.237690:0.000000
n:@0.337317:0.248525:0.343423:0.248525:0.343423:0.237785:0.337317:0.237785:0.000000
→:@0.343423:0.247843:0.354171:0.247843:0.354171:0.237832:0.343423:0.237832:0.000000
∞:@0.354168:0.248450:0.362850:0.248450:0.362850:0.237690:0.354168:0.237690:0.000000
n:@0.363227:0.317193:0.369333:0.317193:0.369333:0.306452:0.363227:0.306452:0.000000
→:@0.369329:0.316509:0.380077:0.316509:0.380077:0.306498:0.369329:0.306498:0.000000
∞:@0.380076:0.317116:0.388758:0.317116:0.388758:0.306356:0.380076:0.306356:0.000000
b:@0.394568:0.337631:0.399971:0.337631:0.399971:0.328030:0.394568:0.328030:0.000000
b:@0.495552:0.428333:0.500954:0.428333:0.500954:0.418732:0.495552:0.418732:0.000000
0:@0.394793:0.346726:0.399746:0.346726:0.399746:0.337108:0.394793:0.337108:0.000000
0:@0.495777:0.437429:0.500730:0.437429:0.500730:0.427810:0.495777:0.427810:0.000000
β:@0.180533:0.403326:0.190760:0.403326:0.190760:0.384327:0.180533:0.384327:0.000000
2:@0.181401:0.412085:0.189897:0.412085:0.189897:0.395587:0.181401:0.395587:0.000000
β:@0.230658:0.435491:0.240885:0.435491:0.240885:0.416492:0.230658:0.416492:0.000000
2:@0.231526:0.444249:0.240022:0.444249:0.240022:0.427751:0.231526:0.427751:0.000000
β:@0.313483:0.435491:0.323711:0.435491:0.323711:0.416492:0.313483:0.416492:0.000000
2:@0.314351:0.444249:0.322847:0.444249:0.322847:0.427751:0.314351:0.427751:0.000000
1:@0.181637:0.486977:0.190133:0.486977:0.190133:0.470480:0.181637:0.470480:0.000000
2:@0.181637:0.503316:0.190133:0.503316:0.190133:0.486818:0.181637:0.486818:0.000000
1:@0.224362:0.518519:0.232858:0.518519:0.232858:0.502021:0.224362:0.502021:0.000000
2:@0.224362:0.534858:0.232858:0.534858:0.232858:0.518360:0.224362:0.518360:0.000000
c:@0.328422:0.487093:0.335607:0.487093:0.335607:0.470624:0.328422:0.470624:0.000000
b:@0.327381:0.503431:0.336648:0.503431:0.336648:0.486963:0.327381:0.486963:0.000000
c:@0.391342:0.487093:0.398528:0.487093:0.398528:0.470624:0.391342:0.470624:0.000000
b:@0.390302:0.503431:0.399568:0.503431:0.399568:0.486963:0.390302:0.486963:0.000000
b:@0.435238:0.487465:0.440641:0.487465:0.440641:0.477864:0.435238:0.477864:0.000000
0:@0.435463:0.496569:0.440416:0.496569:0.440416:0.486951:0.435463:0.486951:0.000000
1:@0.356170:0.550232:0.364666:0.550232:0.364666:0.533734:0.356170:0.533734:0.000000
2:@0.356170:0.566571:0.364666:0.566571:0.364666:0.550073:0.356170:0.550073:0.000000
1:@0.304129:0.602649:0.312625:0.602649:0.312625:0.586151:0.304129:0.586151:0.000000
2:@0.304129:0.618988:0.312625:0.618988:0.312625:0.602490:0.304129:0.602490:0.000000
1:@0.538771:0.549875:0.547267:0.549875:0.547267:0.533377:0.538771:0.533377:0.000000
2:@0.538771:0.566214:0.547267:0.566214:0.547267:0.549716:0.538771:0.549716:0.000000
1:@0.451707:0.549696:0.460203:0.549696:0.460203:0.533199:0.451707:0.533199:0.000000
2:@0.451707:0.566035:0.460203:0.566035:0.460203:0.549537:0.451707:0.549537:0.000000
dF:@0.205951:0.602746:0.222674:0.602746:0.222674:0.586277:0.205951:0.586277:0.000000:0.000000
dx:@0.206067:0.619084:0.222558:0.619084:0.222558:0.602616:0.206067:0.602616:0.000000:0.000000
1:@0.262065:0.663770:0.270561:0.663770:0.270561:0.647272:0.262065:0.647272:0.000000
2:@0.262065:0.680109:0.270561:0.680109:0.270561:0.663611:0.262065:0.663611:0.000000
1:@0.374909:0.663413:0.383405:0.663413:0.383405:0.646915:0.374909:0.646915:0.000000
2:@0.374909:0.679752:0.383405:0.679752:0.383405:0.663254:0.374909:0.663254:0.000000
1:@0.497177:0.663413:0.505673:0.663413:0.505673:0.646915:0.497177:0.646915:0.000000
2:@0.497177:0.679752:0.505673:0.679752:0.505673:0.663254:0.497177:0.663254:0.000000
5:@0.565372:0.663413:0.573868:0.663413:0.573868:0.646915:0.565372:0.646915:0.000000
2:@0.565372:0.679752:0.573868:0.679752:0.573868:0.663254:0.565372:0.663254:0.000000
∫:@0.135810:0.806083:0.142833:0.806083:0.145272:0.779900:0.138249:0.779900:0.000000
b:@0.146593:0.786697:0.151995:0.786697:0.151995:0.777096:0.146593:0.777096:0.000000
0:@0.141606:0.808311:0.146559:0.808311:0.146559:0.798693:0.141606:0.798693:0.000000
b:@0.415668:0.793735:0.424935:0.793735:0.424935:0.777266:0.415668:0.777266:0.000000
n:@0.415610:0.810073:0.424973:0.810073:0.424973:0.793605:0.415610:0.793605:0.000000
0:@0.692481:0.467536:0.699500:0.467536:0.699500:0.453907:0.692481:0.453907:0.000000
x:@0.832118:0.468933:0.838722:0.468933:0.838722:0.455305:0.832118:0.455305:0.000000
x = a x = b:@0.719096:0.468837:0.775813:0.468837:0.775813:0.457381:0.719096:0.457381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = :@0.804734:0.449234:0.823416:0.449234:0.823416:0.437777:0.804734:0.437777:0.000000:0.000000:0.000000:0.000000
0:@0.823416:0.449153:0.829327:0.449153:0.829327:0.437677:0.823416:0.437677:0.000000
y:@0.689530:0.355416:0.695991:0.355416:0.695991:0.341787:0.689530:0.341787:0.000000
f x:@0.730876:0.390438:0.744747:0.390438:0.744747:0.377550:0.730876:0.377550:0.000000:0.000000:0.000000
( ):@0.734238:0.390348:0.749406:0.390348:0.749406:0.377437:0.734238:0.377437:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000