﻿235:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento métrico y variacional:@0.603757:0.043661:0.926915:0.043661:0.926915:0.024916:0.603757:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Integral definida con GeoGebra:@0.073089:0.136836:0.325596:0.136836:0.325596:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Graficamos una función cuadrática.:@0.077832:0.164796:0.351615:0.164796:0.351615:0.148884:0.077832:0.148884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.090483:0.164796:0.094330:0.164796:0.094330:0.149797:0.090483:0.149797:0.000000
 :@0.077832:0.180681:0.081680:0.180681:0.081680:0.165683:0.077832:0.165683:0.000000
Escribimos:@0.094434:0.180681:0.173203:0.180681:0.173203:0.164769:0.094434:0.164769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en la barra de :@0.173203:0.180681:0.276307:0.180681:0.276307:0.165683:0.173203:0.165683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entrada :@0.276307:0.180681:0.332621:0.180681:0.332621:0.165947:0.276307:0.165947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función::@0.332621:0.180681:0.404853:0.180681:0.404853:0.165683:0.332621:0.165683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  (    2)    1 damos :@0.077832:0.196567:0.233198:0.196567:0.233198:0.181568:0.077832:0.181568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.099091:0.196567:0.106207:0.196567:0.106207:0.181833:0.099091:0.181833:0.000000
2:@0.110055:0.196037:0.124691:0.196037:0.124691:0.182945:0.110055:0.182945:0.000000
2:@0.141768:0.190779:0.146767:0.190779:0.146767:0.182035:0.141768:0.182035:0.000000
1:@0.150617:0.196037:0.165253:0.196037:0.165253:0.182945:0.150617:0.182945:0.000000
enter:@0.233198:0.196567:0.267303:0.196567:0.267303:0.181833:0.233198:0.181833:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.267303:0.196567:0.282730:0.196567:0.282730:0.181568:0.267303:0.181568:0.000000:0.000000:0.000000
localizamos:@0.282730:0.196567:0.368368:0.196567:0.368368:0.180655:0.282730:0.180655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los:@0.368368:0.196567:0.391843:0.196567:0.391843:0.181568:0.368368:0.181568:0.000000:0.000000:0.000000:0.000000
  puntos A y B.:@0.077832:0.212452:0.185399:0.212452:0.185399:0.197453:0.077832:0.197453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  En las vistas :@0.077832:0.228337:0.177686:0.228337:0.177686:0.213339:0.077832:0.213339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfica Algebraica:@0.177505:0.228337:0.308826:0.228337:0.308826:0.213604:0.177505:0.213604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.224329:0.228337:0.239405:0.228337:0.239405:0.213339:0.224329:0.213339:0.000000:0.000000:0.000000
 ya consta la función.:@0.308650:0.228337:0.451007:0.228337:0.451007:0.213339:0.308650:0.213339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. Calculamos la integral de la función.:@0.078406:0.389790:0.357567:0.389790:0.357567:0.373878:0.078406:0.373878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.078406:0.405675:0.082254:0.405675:0.082254:0.390677:0.078406:0.390677:0.000000
Escribimos:@0.095008:0.405675:0.172196:0.405675:0.172196:0.389763:0.095008:0.389763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en la barra de :@0.172020:0.405675:0.272489:0.405675:0.272489:0.390677:0.172020:0.390677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entrada:@0.272313:0.405675:0.324410:0.405675:0.324410:0.390941:0.272313:0.390941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 “integral de la función :@0.324234:0.405675:0.479292:0.405675:0.479292:0.390677:0.324234:0.390677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x”. En este caso, los puntos que hemos señalado son A :@0.095008:0.421560:0.466854:0.421560:0.466854:0.406562:0.095008:0.406562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y B. Por lo tanto, :@0.095008:0.437446:0.206759:0.437446:0.206759:0.422447:0.095008:0.422447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribimos:@0.206583:0.437446:0.283929:0.437446:0.283929:0.421534:0.206583:0.421534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 desde el punto A hasta el :@0.283753:0.437446:0.464256:0.437446:0.464256:0.422447:0.283753:0.422447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto B.:@0.095008:0.453331:0.152482:0.453331:0.152482:0.438333:0.095008:0.438333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Al hacer :@0.078406:0.469217:0.155646:0.469217:0.155646:0.454218:0.078406:0.454218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enter:@0.155643:0.469217:0.189747:0.469217:0.189747:0.454483:0.155643:0.454483:0.000000:0.000000:0.000000:0.000000:0.000000
, aparecerá sombreada la parte que nos :@0.189747:0.469217:0.468996:0.469217:0.468996:0.454218:0.189747:0.454218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interesa.:@0.095007:0.485102:0.153042:0.485102:0.153042:0.470103:0.095007:0.470103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. Medimos el área sombreada. :@0.077832:0.651371:0.308019:0.651371:0.308019:0.635460:0.077832:0.635460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Selecciona:@0.094432:0.667257:0.172568:0.667257:0.172568:0.651345:0.094432:0.651345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la opción :@0.172568:0.667257:0.245134:0.667257:0.245134:0.652258:0.172568:0.652258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Deslizador:@0.245134:0.667257:0.315468:0.667257:0.315468:0.652523:0.245134:0.652523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para configurar.:@0.315468:0.667257:0.428605:0.667257:0.428605:0.652258:0.315468:0.652258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.077832:0.683142:0.081680:0.683142:0.081680:0.668144:0.077832:0.668144:0.000000
Cambia:@0.094434:0.683142:0.150203:0.683142:0.150203:0.667230:0.094434:0.667230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el nombre a  . :@0.150203:0.683142:0.258157:0.683142:0.258157:0.668144:0.150203:0.668144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.242185:0.683142:0.251252:0.683142:0.251252:0.668409:0.242185:0.668409:0.000000
Elige:@0.258157:0.683142:0.293685:0.683142:0.293685:0.667230:0.258157:0.667230:0.000000:0.000000:0.000000:0.000000:0.000000
 el :@0.293685:0.683142:0.313627:0.683142:0.313627:0.668144:0.293685:0.668144:0.000000:0.000000:0.000000:0.000000
intervalo:@0.313627:0.683142:0.372629:0.683142:0.372629:0.668409:0.313627:0.668409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de 1 a 50 :@0.372629:0.683142:0.443649:0.683142:0.443649:0.668144:0.372629:0.668144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidades. :@0.094434:0.699028:0.165734:0.699028:0.165734:0.684029:0.094434:0.684029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pon:@0.165734:0.699028:0.194040:0.699028:0.194040:0.683116:0.165734:0.683116:0.000000:0.000000:0.000000
 el incremento en 1.:@0.194042:0.699028:0.332691:0.699028:0.332691:0.684029:0.194042:0.684029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Una vez configurado, :@0.077832:0.714913:0.246597:0.714913:0.246597:0.699915:0.077832:0.699915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da:@0.246594:0.714913:0.264973:0.714913:0.264973:0.699001:0.246594:0.699001:0.000000:0.000000
 :@0.264973:0.714913:0.268821:0.714913:0.268821:0.699915:0.264973:0.699915:0.000000
enter:@0.268821:0.714913:0.302926:0.714913:0.302926:0.700179:0.268821:0.700179:0.000000:0.000000:0.000000:0.000000:0.000000
 y está listo el deslizador.:@0.302926:0.714913:0.472692:0.714913:0.472692:0.699915:0.302926:0.699915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. Configuramos el deslizador.:@0.518973:0.164796:0.737376:0.164796:0.737376:0.148884:0.518973:0.148884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Queremos que el deslizador trabaje en dos secciones :@0.518973:0.180681:0.910815:0.180681:0.910815:0.165683:0.518973:0.165683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que luego corresponderán a una sola área, la que :@0.535577:0.196567:0.883649:0.196567:0.883649:0.181568:0.535577:0.181568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tenemos sombreada.:@0.535577:0.212452:0.683573:0.212452:0.683573:0.197453:0.535577:0.197453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.518973:0.228337:0.522821:0.228337:0.522821:0.213339:0.518973:0.213339:0.000000
Selecciona:@0.535577:0.228337:0.613713:0.228337:0.613713:0.212425:0.535577:0.212425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la opción :@0.613713:0.228337:0.686279:0.228337:0.686279:0.213339:0.613713:0.213339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desplaza Vista Gráfica:@0.686279:0.228337:0.834571:0.228337:0.834571:0.213604:0.686279:0.213604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.834571:0.228337:0.841477:0.228337:0.841477:0.213339:0.834571:0.213339:0.000000:0.000000
  Introducimos en la barra de :@0.518973:0.244223:0.732525:0.244223:0.732525:0.229224:0.518973:0.229224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entrada:@0.732521:0.244223:0.785672:0.244223:0.785672:0.229489:0.732521:0.229489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función :@0.785672:0.244223:0.862543:0.244223:0.862543:0.229224:0.785672:0.229224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma :@0.862543:0.244223:0.903465:0.244223:0.903465:0.229489:0.862543:0.229489:0.000000:0.000000:0.000000:0.000000:0.000000
inferior:@0.535572:0.260108:0.582662:0.260108:0.582662:0.245374:0.535572:0.245374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y escribimos los límites (puntos A y B) y el :@0.582662:0.260108:0.879602:0.260108:0.879602:0.245110:0.582662:0.245110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número de rectángulos (incremento), :@0.535572:0.275993:0.801731:0.275993:0.801731:0.260995:0.535572:0.260995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al que previamente :@0.535572:0.291879:0.675241:0.291879:0.675241:0.276880:0.535572:0.276880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hemos definido con  .:@0.535572:0.307764:0.692653:0.307764:0.692653:0.292766:0.535572:0.292766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.680530:0.307764:0.689596:0.307764:0.689596:0.293031:0.680530:0.293031:0.000000
  Al desplazar el deslizador, :@0.518973:0.323650:0.716942:0.323650:0.716942:0.308651:0.518973:0.308651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observa:@0.716935:0.323650:0.775375:0.323650:0.775375:0.307738:0.716935:0.307738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el número de :@0.775375:0.323650:0.877091:0.323650:0.877091:0.308651:0.775375:0.308651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulos en los que se divide el área inferior.:@0.535572:0.339535:0.865615:0.339535:0.865615:0.324537:0.535572:0.324537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. Haz:@0.518973:0.501919:0.563024:0.501919:0.563024:0.486007:0.518973:0.486007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lo mismo para la suma superior. :@0.563020:0.501919:0.792051:0.501919:0.792051:0.486921:0.563020:0.486921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe:@0.535575:0.517804:0.587777:0.517804:0.587777:0.501893:0.535575:0.501893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los límites (puntos A y B) y el número de :@0.587777:0.517804:0.875511:0.517804:0.875511:0.502806:0.587777:0.502806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulos (incremento), :@0.535575:0.533690:0.719959:0.533690:0.719959:0.518691:0.535575:0.518691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al que previamente hemos :@0.535575:0.549575:0.727322:0.549575:0.727322:0.534577:0.535575:0.534577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definido con n.:@0.535575:0.565461:0.640928:0.565461:0.640928:0.550462:0.535575:0.550462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Al desplazar el deslizador, :@0.518973:0.581346:0.716942:0.581346:0.716942:0.566347:0.518973:0.566347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observa:@0.716935:0.581346:0.775375:0.581346:0.775375:0.565434:0.716935:0.565434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el número de :@0.775375:0.581346:0.877091:0.581346:0.877091:0.566347:0.775375:0.566347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulos en los que se divide el área superior.:@0.535572:0.597231:0.873770:0.597231:0.873770:0.582233:0.535572:0.582233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Para tener una mejor visualización, :@0.518973:0.613117:0.780406:0.613117:0.780406:0.598118:0.518973:0.598118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambia:@0.780400:0.613117:0.833972:0.613117:0.833972:0.597205:0.780400:0.597205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los nom-:@0.833972:0.613117:0.899686:0.613117:0.899686:0.598118:0.833972:0.598118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bres de las variables. :@0.535572:0.629002:0.681302:0.629002:0.681302:0.614004:0.535572:0.614004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.518973:0.644887:0.522821:0.644887:0.522821:0.629889:0.518973:0.629889:0.000000
Ve:@0.535577:0.644887:0.553604:0.644887:0.553604:0.628976:0.535577:0.628976:0.000000:0.000000
 a la :@0.553604:0.644887:0.584827:0.644887:0.584827:0.629889:0.553604:0.629889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vista Algebraica:@0.584827:0.644887:0.691533:0.644887:0.691533:0.630154:0.584827:0.630154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.691533:0.644887:0.698438:0.644887:0.698438:0.629889:0.691533:0.629889:0.000000:0.000000
da:@0.698438:0.644887:0.716817:0.644887:0.716817:0.628976:0.698438:0.628976:0.000000:0.000000
 doble clic en A y :@0.716817:0.644887:0.839776:0.644887:0.839776:0.629889:0.716817:0.629889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modifica:@0.839776:0.644887:0.903627:0.644887:0.903627:0.628976:0.839776:0.628976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.903627:0.644887:0.907475:0.644887:0.907475:0.629889:0.903627:0.629889:0.000000
el nombre por integral.:@0.535577:0.660773:0.696066:0.660773:0.696066:0.645774:0.535577:0.645774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Luego, :@0.518973:0.676658:0.586499:0.676658:0.586499:0.661660:0.518973:0.661660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
haz:@0.586494:0.676658:0.612235:0.676658:0.612235:0.660746:0.586494:0.660746:0.000000:0.000000:0.000000
 doble clic en B y :@0.612235:0.676658:0.733788:0.676658:0.733788:0.661660:0.612235:0.661660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modifica:@0.733788:0.676658:0.797640:0.676658:0.797640:0.660746:0.733788:0.660746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el nombre por :@0.797640:0.676658:0.905875:0.676658:0.905875:0.661660:0.797640:0.661660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Suma Inferior:@0.535575:0.692544:0.633917:0.692544:0.633917:0.676632:0.535575:0.676632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.633917:0.692544:0.636975:0.692544:0.636975:0.677545:0.633917:0.677545:0.000000
  Luego, :@0.518973:0.708429:0.586499:0.708429:0.586499:0.693431:0.518973:0.693431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da:@0.586494:0.708429:0.604873:0.708429:0.604873:0.692517:0.586494:0.692517:0.000000:0.000000
 doble clic en C y :@0.604873:0.708429:0.727568:0.708429:0.727568:0.693431:0.604873:0.693431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modifica:@0.727568:0.708429:0.791420:0.708429:0.791420:0.692517:0.727568:0.692517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el nombre por :@0.791420:0.708429:0.899655:0.708429:0.899655:0.693431:0.791420:0.693431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Suma Superior:@0.535575:0.724314:0.643230:0.724314:0.643230:0.708403:0.535575:0.708403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.643230:0.724314:0.646287:0.724314:0.646287:0.709316:0.643230:0.709316:0.000000
6. Calcula:@0.518973:0.840188:0.588431:0.840188:0.588431:0.824276:0.518973:0.824276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el área de la zona señalada.:@0.588427:0.840188:0.781457:0.840188:0.781457:0.825190:0.588427:0.825190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Al mover el deslizador, :@0.518973:0.856074:0.695839:0.856074:0.695839:0.841075:0.518973:0.841075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mira:@0.695835:0.856074:0.728727:0.856074:0.728727:0.840162:0.695835:0.840162:0.000000:0.000000:0.000000:0.000000
 con mayor precisión :@0.728727:0.856074:0.878833:0.856074:0.878833:0.841075:0.728727:0.841075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el área y :@0.535574:0.871959:0.596562:0.871959:0.596562:0.856961:0.535574:0.856961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aproxímate:@0.596562:0.871959:0.679811:0.871959:0.679811:0.856047:0.596562:0.856047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a la integral que está :@0.679811:0.871959:0.831672:0.871959:0.831672:0.856961:0.679811:0.856961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculada. :@0.535574:0.887844:0.608422:0.887844:0.608422:0.872846:0.535574:0.872846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desliza :@0.608422:0.887844:0.663927:0.887844:0.663927:0.871933:0.608422:0.871933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los puntos A y B, y :@0.663927:0.887844:0.793791:0.887844:0.793791:0.872846:0.663927:0.872846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encuentra:@0.793791:0.887844:0.868325:0.887844:0.868325:0.871933:0.793791:0.871933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.868325:0.887844:0.872173:0.887844:0.872173:0.872846:0.868325:0.872846:0.000000
el área delimitada.:@0.535574:0.903730:0.662521:0.903730:0.662521:0.888731:0.535574:0.888731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital :@0.117786:0.096815:0.407670:0.096815:0.407670:0.068698:0.117786:0.068698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@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