﻿:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
¿Puede un área ser :@0.119125:0.192000:0.247832:0.192000:0.247832:0.177101:0.119125:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativa?:@0.180104:0.205830:0.244165:0.205830:0.244165:0.190931:0.180104:0.190931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La integral denida :@0.287495:0.372191:0.438066:0.372191:0.438066:0.355802:0.287495:0.355802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.397451:0.372191:0.401487:0.372191:0.401487:0.355802:0.397451:0.355802:0.000000
fx dx:@0.461876:0.372399:0.506305:0.372399:0.506305:0.356037:0.461876:0.356037:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.469100:0.372399:0.489905:0.372399:0.489905:0.356010:0.469100:0.356010:0.000000:0.000000
 permite :@0.509763:0.372191:0.578975:0.372191:0.578975:0.355802:0.509763:0.355802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular el área de la región R limitada :@0.287489:0.388788:0.578996:0.388788:0.578996:0.372399:0.287489:0.372399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por la función   positiva y continúa en :@0.287489:0.405384:0.578959:0.405384:0.578959:0.388995:0.287489:0.388995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.398331:0.405384:0.403030:0.405384:0.403030:0.389023:0.398331:0.389023:0.000000
[ ,  ], el eje OX y las rectas   =   y   =  . :@0.287489:0.421980:0.578977:0.421980:0.578977:0.405591:0.287489:0.405591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.292372:0.421980:0.318300:0.421980:0.318300:0.405619:0.292372:0.405619:0.000000:0.000000:0.000000
x:@0.483098:0.421980:0.490561:0.421980:0.490561:0.405619:0.483098:0.405619:0.000000
a x:@0.509910:0.421980:0.543117:0.421980:0.543117:0.405619:0.509910:0.405619:0.000000:0.000000:0.000000
b:@0.562466:0.421980:0.571735:0.421980:0.571735:0.405619:0.562466:0.405619:0.000000
A las regiones que están sobre el eje OX :@0.287489:0.438577:0.578977:0.438577:0.578977:0.422188:0.287489:0.422188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se les asignan valores positivos, mien-:@0.287489:0.455173:0.574905:0.455173:0.574905:0.438784:0.287489:0.438784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tras  si se encuentran por debajo del eje :@0.287489:0.471770:0.578940:0.471770:0.578940:0.455381:0.287489:0.455381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
OX, la integral tendrá valores negativos.:@0.287489:0.488366:0.574903:0.488366:0.574903:0.471977:0.287489:0.471977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx dx:@0.303152:0.518696:0.347581:0.518696:0.347581:0.502334:0.303152:0.502334:0.000000:0.000000:0.000000:0.000000:0.000000
fx dx:@0.383994:0.518696:0.428423:0.518696:0.428423:0.502334:0.383994:0.502334:0.000000:0.000000:0.000000:0.000000:0.000000
fx dx:@0.461427:0.518696:0.505856:0.518696:0.505856:0.502334:0.461427:0.502334:0.000000:0.000000:0.000000:0.000000:0.000000
fx dx:@0.541219:0.518696:0.585648:0.518696:0.585648:0.502334:0.541219:0.502334:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.293114:0.524749:0.298486:0.524749:0.298486:0.515267:0.293114:0.515267:0.000000
b:@0.295677:0.506795:0.301049:0.506795:0.301049:0.497313:0.295677:0.497313:0.000000
a:@0.374258:0.524749:0.379630:0.524749:0.379630:0.515267:0.374258:0.515267:0.000000
c:@0.376982:0.506795:0.381424:0.506795:0.381424:0.497313:0.376982:0.497313:0.000000
d:@0.531153:0.524749:0.536525:0.524749:0.536525:0.515267:0.531153:0.515267:0.000000
b:@0.533716:0.506795:0.539088:0.506795:0.539088:0.497313:0.533716:0.497313:0.000000
c:@0.450682:0.524749:0.455124:0.524749:0.455124:0.515267:0.450682:0.515267:0.000000
d:@0.453405:0.506795:0.458777:0.506795:0.458777:0.497313:0.453405:0.497313:0.000000
():@0.310389:0.518700:0.331194:0.518700:0.331194:0.502311:0.310389:0.502311:0.000000:0.000000
():@0.391213:0.518700:0.412018:0.518700:0.412018:0.502311:0.391213:0.502311:0.000000:0.000000
():@0.468646:0.518700:0.489451:0.518700:0.489451:0.502311:0.468646:0.502311:0.000000:0.000000
():@0.548437:0.518700:0.569242:0.518700:0.569242:0.502311:0.548437:0.502311:0.000000:0.000000
∫:@0.286308:0.524756:0.293881:0.524756:0.293881:0.499343:0.286308:0.499343:0.000000
∫:@0.367463:0.524756:0.375037:0.524756:0.375037:0.499343:0.367463:0.499343:0.000000
∫:@0.524356:0.524756:0.531930:0.524756:0.531930:0.499343:0.524356:0.499343:0.000000
∫:@0.443892:0.524756:0.451465:0.524756:0.451465:0.499343:0.443892:0.499343:0.000000
=:@0.352950:0.518285:0.363067:0.518285:0.363067:0.501342:0.352950:0.501342:0.000000
−:@0.432945:0.518285:0.443062:0.518285:0.443062:0.501342:0.432945:0.501342:0.000000
+:@0.510378:0.518285:0.520494:0.518285:0.520494:0.501342:0.510378:0.501342:0.000000
•:@0.287495:0.547646:0.293724:0.547646:0.293724:0.530511:0.287495:0.530511:0.000000
 Si la curva está por encima del eje OX en el intervalo [ ,  ], la integral denida da :@0.293724:0.547646:0.907779:0.547646:0.907779:0.531257:0.293724:0.531257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.707240:0.547646:0.733020:0.547646:0.733020:0.531285:0.707240:0.531285:0.000000:0.000000:0.000000
 :@0.844738:0.547646:0.848774:0.547646:0.848774:0.531257:0.844738:0.531257:0.000000
un valor positivo, que corresponde al área.:@0.315985:0.564243:0.625362:0.564243:0.625362:0.547854:0.315985:0.547854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.287495:0.587962:0.293724:0.587962:0.293724:0.570826:0.287495:0.570826:0.000000
  Si la curva está por debajo del eje OX, la integral da un valor negativo, porque :@0.293724:0.587962:0.907718:0.587962:0.907718:0.571573:0.293724:0.571573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función  ( ) es negativa en ese intervalo. En este caso, el área real es el valor :@0.315985:0.604558:0.907694:0.604558:0.907694:0.588169:0.315985:0.588169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.395408:0.604558:0.412453:0.604558:0.412453:0.588197:0.395408:0.588197:0.000000:0.000000:0.000000
absoluto de la integral.:@0.315985:0.621154:0.482458:0.621154:0.482458:0.604766:0.315985:0.604766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.340062:0.480398:0.340062:0.480398:0.324698:0.306727:0.324698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.340847:0.297460:0.340847:0.297460:0.323711:0.284892:0.323711:0.000000
Pienso y progreso:@0.294883:0.286814:0.417347:0.286814:0.417347:0.271450:0.294883:0.271450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabes cómo se monitorea el agua de riego en las comunidades?, explica.:@0.294883:0.304209:0.785539:0.304209:0.785539:0.289310:0.294883:0.289310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una comunidad está monitoreando el consumo de agua durante el día. Determinan :@0.287495:0.168345:0.907676:0.168345:0.907676:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que el consumo de agua en miles de litros por hora está dado por la función::@0.287495:0.184941:0.850454:0.184941:0.850454:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ft:@0.290008:0.206992:0.307533:0.206992:0.307533:0.190631:0.290008:0.190631:0.000000:0.000000
t:@0.364235:0.206992:0.369616:0.206992:0.369616:0.190631:0.364235:0.190631:0.000000
t:@0.402288:0.206992:0.407669:0.206992:0.407669:0.190631:0.402288:0.190631:0.000000
():@0.297232:0.206992:0.314001:0.206992:0.314001:0.190603:0.297232:0.190603:0.000000:0.000000
, 02:@0.351096:0.206992:0.365175:0.206992:0.365175:0.190603:0.351096:0.190603:0.000000:0.000000:0.000000:0.000000
=−:@0.317594:0.206577:0.341956:0.206577:0.341956:0.189635:0.317594:0.189635:0.000000:0.000000
+:@0.381096:0.206577:0.391213:0.206577:0.391213:0.189635:0.381096:0.189635:0.000000
+:@0.411981:0.206577:0.422098:0.206577:0.422098:0.189635:0.411981:0.189635:0.000000
2:@0.394235:0.206992:0.403228:0.206992:0.403228:0.190603:0.394235:0.190603:0.000000
1:@0.423977:0.206992:0.432970:0.206992:0.432970:0.190603:0.423977:0.190603:0.000000
2:@0.370994:0.199331:0.376206:0.199331:0.376206:0.189833:0.370994:0.189833:0.000000
Donde:   es tiempo en horas que va de 0 a 12 horas.:@0.287495:0.233529:0.666786:0.233529:0.666786:0.217140:0.287495:0.217140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.345413:0.233529:0.350794:0.233529:0.350794:0.217167:0.345413:0.217167:0.000000
¿Cuántos miles de litros de agua se consumieron en total durante ese período?:@0.287495:0.257248:0.865360:0.257248:0.865360:0.240859:0.287495:0.240859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área de guras planas y el eje :@0.286308:0.075160:0.729673:0.075160:0.729673:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.416256:0.075160:0.423332:0.075160:0.423332:0.041608:0.416256:0.041608:0.000000
x:@0.729673:0.075160:0.745594:0.075160:0.745594:0.041608:0.729673:0.041608:0.000000
:@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
x:@0.898636:0.447387:0.903679:0.447387:0.903679:0.437062:0.898636:0.437062:0.000000
a:@0.616062:0.450766:0.622884:0.450766:0.622884:0.438965:0.616062:0.438965:0.000000
f x:@0.653688:0.392686:0.668509:0.392686:0.668509:0.379410:0.653688:0.379410:0.000000:0.000000:0.000000
( ):@0.657849:0.392686:0.672684:0.392686:0.672684:0.379421:0.657849:0.379421:0.000000:0.000000:0.000000
c:@0.702395:0.450766:0.707924:0.450766:0.707924:0.438965:0.702395:0.438965:0.000000
d:@0.803332:0.450766:0.810193:0.450766:0.810193:0.438965:0.803332:0.438965:0.000000
b:@0.886009:0.450766:0.892871:0.450766:0.892871:0.438965:0.886009:0.438965:0.000000
y:@0.610904:0.362357:0.615947:0.362357:0.615947:0.352032:0.610904:0.352032:0.000000
Paso 1.:@0.291121:0.731763:0.343371:0.731763:0.343371:0.716185:0.291121:0.716185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gracamos la función, :@0.347040:0.731763:0.498314:0.731763:0.498314:0.716864:0.347040:0.716864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.374095:0.731763:0.377764:0.731763:0.377764:0.716864:0.374095:0.716864:0.000000
usamos GeoGebra.:@0.291121:0.746851:0.417365:0.746851:0.417365:0.731952:0.291121:0.731952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área bajo la curva representa el :@0.291121:0.880150:0.516522:0.880150:0.516522:0.865251:0.291121:0.865251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
volumen total de agua consumida :@0.291121:0.895237:0.524329:0.895237:0.524329:0.880338:0.291121:0.880338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en 12 horas.:@0.291121:0.910325:0.371329:0.910325:0.371329:0.895426:0.291121:0.895426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.545120:0.731763:0.597371:0.731763:0.597371:0.716185:0.545120:0.716185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 La gráca está sobre el eje OX y una parte :@0.597371:0.731763:0.881772:0.731763:0.881772:0.716864:0.597371:0.716864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.645399:0.731763:0.649067:0.731763:0.649067:0.716864:0.645399:0.716864:0.000000
bajo el eje OX. Debemos calcular dos integrales.:@0.545120:0.746851:0.863108:0.746851:0.863108:0.731952:0.545120:0.731952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos el punto de corte de la curva con el :@0.545120:0.769067:0.877969:0.769067:0.877969:0.754168:0.545120:0.754168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje OX.:@0.545120:0.784155:0.591525:0.784155:0.591525:0.769256:0.545120:0.769256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.285358:0.677184:0.440250:0.677184:0.440250:0.661819:0.285358:0.661819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.285358:0.704783:0.299584:0.704783:0.299584:0.687882:0.285358:0.687882:0.000000:0.000000
  Para resolver el problema inicial emplearemos la integral denida.:@0.299584:0.704783:0.793441:0.704783:0.793441:0.688394:0.299584:0.688394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.753656:0.704783:0.757691:0.704783:0.757691:0.688394:0.753656:0.688394:0.000000
cción y expresión:@0.306727:0.651081:0.431598:0.651081:0.431598:0.635717:0.306727:0.635717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.285132:0.651867:0.297220:0.651867:0.297220:0.634731:0.285132:0.634731:0.000000
−:@0.548131:0.805060:0.512905:0.805060:0.512905:0.789812:0.548131:0.789812:0.000000
+:@0.592462:0.805060:0.557236:0.805060:0.557236:0.789812:0.592462:0.789812:0.000000
+= ⇒=:@0.620259:0.805060:0.701408:0.805060:0.701408:0.789812:0.620259:0.789812:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.566872:0.823743:0.575977:0.823743:0.575977:0.808495:0.566872:0.808495:0.000000
+:@0.595892:0.823743:0.604997:0.823743:0.604997:0.808495:0.595892:0.808495:0.000000
=:@0.566872:0.848887:0.575977:0.848887:0.575977:0.833639:0.566872:0.833639:0.000000
−:@0.612344:0.848887:0.621449:0.848887:0.621449:0.833639:0.612344:0.833639:0.000000
+:@0.656679:0.848887:0.637988:0.848887:0.637988:0.833639:0.656679:0.833639:0.000000
+:@0.684475:0.848887:0.665784:0.848887:0.665784:0.833639:0.684475:0.833639:0.000000
(:@0.605508:0.851939:0.514954:0.851939:0.514954:0.827985:0.605508:0.827985:0.000000
):@0.701584:0.851939:0.611031:0.851939:0.611031:0.827985:0.701584:0.827985:0.000000
+−:@0.725760:0.848882:0.750372:0.848882:0.750372:0.833634:0.725760:0.833634:0.000000:0.000000
−:@0.781070:0.848882:0.790176:0.848882:0.790176:0.833634:0.781070:0.833634:0.000000
∫:@0.579935:0.854698:0.586752:0.854698:0.586752:0.831826:0.579935:0.831826:0.000000
02:@0.557179:0.805433:0.578142:0.805433:0.578142:0.790683:0.557179:0.790683:0.000000:0.000000
2:@0.604296:0.805433:0.612390:0.805433:0.612390:0.790683:0.604296:0.790683:0.000000
1 0:@0.631064:0.805433:0.660403:0.805433:0.660403:0.790683:0.631064:0.790683:0.000000:0.000000:0.000000
105:@0.703574:0.805433:0.732547:0.805433:0.732547:0.790683:0.703574:0.790683:0.000000:0.000000:0.000000
1:@0.587712:0.824117:0.595805:0.824117:0.595805:0.809367:0.587712:0.809367:0.000000
2:@0.617299:0.824117:0.625392:0.824117:0.625392:0.809367:0.617299:0.809367:0.000000
02 ,:@0.621395:0.849260:0.632577:0.849260:0.632577:0.834510:0.621395:0.834510:0.000000:0.000000:0.000000:0.000000
2:@0.668513:0.849260:0.676607:0.849260:0.676607:0.834510:0.668513:0.834510:0.000000
1:@0.695281:0.849260:0.703375:0.849260:0.703375:0.834510:0.695281:0.834510:0.000000
02 ,:@0.790113:0.849260:0.801295:0.849260:0.801295:0.834510:0.790113:0.834510:0.000000:0.000000:0.000000:0.000000
2:@0.583375:0.798546:0.588065:0.798546:0.588065:0.789998:0.583375:0.789998:0.000000
2:@0.647590:0.842370:0.652281:0.842370:0.652281:0.833822:0.647590:0.833822:0.000000
0:@0.585912:0.854691:0.590603:0.854691:0.590603:0.846143:0.585912:0.846143:0.000000
10 5 ,:@0.587748:0.838539:0.599417:0.838541:0.599417:0.829993:0.587748:0.829991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.565458:0.805433:0.568344:0.805433:0.568344:0.790683:0.565458:0.790683:0.000000
,:@0.719863:0.805433:0.722749:0.805433:0.722749:0.790683:0.719863:0.790683:0.000000
t:@0.577297:0.805433:0.582140:0.805433:0.582140:0.790708:0.577297:0.790708:0.000000
t:@0.611545:0.805433:0.616387:0.805433:0.616387:0.790708:0.611545:0.790708:0.000000
t:@0.682843:0.805433:0.687686:0.805433:0.687686:0.790708:0.682843:0.790708:0.000000
At:@0.548605:0.824117:0.562254:0.824117:0.562254:0.809392:0.548605:0.809392:0.000000:0.000000
A:@0.580166:0.824117:0.589072:0.824117:0.589072:0.809392:0.580166:0.809392:0.000000
A:@0.608725:0.824117:0.617631:0.824117:0.617631:0.809392:0.608725:0.809392:0.000000
At:@0.548605:0.849260:0.562254:0.849260:0.562254:0.834535:0.548605:0.834535:0.000000:0.000000
t:@0.641513:0.849260:0.646356:0.849260:0.646356:0.834535:0.641513:0.834535:0.000000
t:@0.675761:0.849260:0.680604:0.849260:0.680604:0.834535:0.675761:0.834535:0.000000
dt:@0.708749:0.849260:0.721884:0.849260:0.721884:0.834535:0.708749:0.834535:0.000000:0.000000
t t:@0.810227:0.849255:0.815070:0.849255:0.815070:0.834530:0.810227:0.834530:0.000000:0.000000:0.000000
t:@0.844475:0.849255:0.849318:0.849255:0.849318:0.834530:0.844475:0.834530:0.000000
dt:@0.877479:0.849255:0.890614:0.849255:0.890614:0.834530:0.877479:0.834530:0.000000:0.000000
t:@0.602601:0.887767:0.607444:0.887767:0.607444:0.873042:0.602601:0.873042:0.000000
t:@0.629319:0.887767:0.634162:0.887767:0.634162:0.873042:0.629319:0.873042:0.000000
t:@0.656038:0.887767:0.660880:0.887767:0.660880:0.873042:0.656038:0.873042:0.000000
t:@0.750455:0.887767:0.755298:0.887767:0.755298:0.873042:0.750455:0.873042:0.000000
t:@0.777174:0.887767:0.782016:0.887767:0.782016:0.873042:0.777174:0.873042:0.000000
t:@0.803892:0.887767:0.808735:0.887767:0.808735:0.873042:0.803892:0.873042:0.000000
2:@0.816317:0.842368:0.821007:0.842368:0.821007:0.833820:0.816317:0.833820:0.000000
10 5 ,:@0.756484:0.854689:0.768141:0.854692:0.768141:0.846144:0.756484:0.846141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.758935:0.838538:0.768239:0.838538:0.768239:0.829989:0.758935:0.829989:0.000000:0.000000
3:@0.608685:0.880854:0.613375:0.880854:0.613375:0.872305:0.608685:0.872305:0.000000
2:@0.635396:0.880854:0.640086:0.880854:0.640086:0.872305:0.635396:0.872305:0.000000
0:@0.673372:0.900129:0.678062:0.900129:0.678062:0.891581:0.673372:0.891581:0.000000
10 5 ,:@0.672756:0.870148:0.684413:0.870151:0.684413:0.861603:0.672756:0.861600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.756532:0.880854:0.761222:0.880854:0.761222:0.872305:0.756532:0.872305:0.000000
2:@0.783243:0.880854:0.787933:0.880854:0.787933:0.872305:0.783243:0.872305:0.000000
2:@0.837235:0.849255:0.845329:0.849255:0.845329:0.834505:0.837235:0.834505:0.000000
1:@0.864003:0.849255:0.872097:0.849255:0.872097:0.834505:0.864003:0.834505:0.000000
02 ,:@0.579457:0.879751:0.590643:0.879746:0.590643:0.864996:0.579457:0.865001:0.000000:0.000000:0.000000:0.000000
3:@0.581099:0.897675:0.589192:0.897675:0.589192:0.882925:0.581099:0.882925:0.000000
02 ,:@0.727294:0.879751:0.738497:0.879746:0.738497:0.864996:0.727294:0.865001:0.000000:0.000000:0.000000:0.000000
3:@0.728936:0.897675:0.737030:0.897675:0.737030:0.882925:0.728936:0.882925:0.000000
+:@0.825394:0.848894:0.806703:0.848894:0.806703:0.833646:0.825394:0.833646:0.000000
+:@0.853190:0.848894:0.834499:0.848894:0.834499:0.833646:0.853190:0.833646:0.000000
(:@0.774241:0.851939:0.683688:0.851939:0.683688:0.827985:0.774241:0.827985:0.000000
):@0.870318:0.851939:0.779764:0.851939:0.779764:0.827985:0.870318:0.827985:0.000000
=:@0.548131:0.887390:0.557236:0.887390:0.557236:0.872143:0.548131:0.872143:0.000000
−:@0.570404:0.879374:0.579509:0.879374:0.579509:0.864126:0.570404:0.864126:0.000000
+:@0.617754:0.887390:0.600141:0.887390:0.600141:0.872143:0.617754:0.872143:0.000000
+:@0.644472:0.887390:0.626859:0.887390:0.626859:0.872143:0.644472:0.872143:0.000000
:@0.560420:0.880495:0.566789:0.880495:0.566789:0.865247:0.560420:0.865247:0.000000
:@0.560420:0.898568:0.566789:0.898568:0.566789:0.883320:0.560420:0.883320:0.000000
:@0.560420:0.890751:0.566789:0.890751:0.566789:0.875503:0.560420:0.875503:0.000000
:@0.663611:0.880495:0.669980:0.880495:0.669980:0.865247:0.663611:0.865247:0.000000
:@0.663611:0.898568:0.669980:0.898568:0.669980:0.883320:0.663611:0.883320:0.000000
:@0.663611:0.890751:0.669980:0.890751:0.669980:0.875503:0.663611:0.875503:0.000000
–:@0.693298:0.887764:0.701591:0.887764:0.701591:0.872802:0.693298:0.872802:0.000000
−:@0.718275:0.879374:0.727380:0.879374:0.727380:0.864126:0.718275:0.864126:0.000000
+:@0.765625:0.887390:0.748012:0.887390:0.748012:0.872143:0.765625:0.872143:0.000000
+:@0.792343:0.887390:0.774730:0.887390:0.774730:0.872143:0.792343:0.872143:0.000000
:@0.708291:0.880495:0.714660:0.880495:0.714660:0.865247:0.708291:0.865247:0.000000
:@0.708291:0.898568:0.714660:0.898568:0.714660:0.883320:0.708291:0.883320:0.000000
∫:@0.751108:0.854698:0.757924:0.854698:0.757924:0.831826:0.751108:0.831826:0.000000
 :@0.708279:0.890750:0.714647:0.890750:0.714647:0.875502:0.708279:0.875502:0.000000:0.000000:0.000000
:@0.811470:0.880493:0.817838:0.880493:0.817838:0.865245:0.811470:0.865245:0.000000
:@0.811470:0.898567:0.817838:0.898567:0.817838:0.883319:0.811470:0.883319:0.000000
:@0.811470:0.890750:0.817838:0.890750:0.817838:0.875502:0.811470:0.875502:0.000000
=:@0.548135:0.920449:0.557240:0.920449:0.557240:0.905201:0.548135:0.905201:0.000000
10 5:@0.820604:0.900132:0.836934:0.900132:0.836934:0.891584:0.820604:0.891584:0.000000:0.000000:0.000000:0.000000
12:@0.820604:0.870152:0.829908:0.870152:0.829908:0.861604:0.820604:0.861604:0.000000:0.000000
43,575 + 2,775 = 46,35:@0.561888:0.920827:0.708316:0.920827:0.708316:0.906077:0.561888:0.906077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.830593:0.900132:0.832265:0.900132:0.832265:0.891584:0.830593:0.891584:0.000000
–2:@0.324542:0.846205:0.337846:0.846205:0.337846:0.834357:0.324542:0.834357:0.000000:0.000000
2:@0.331109:0.810808:0.337846:0.810808:0.337846:0.798959:0.331109:0.798959:0.000000
4:@0.331109:0.793035:0.337846:0.793035:0.337846:0.781187:0.331109:0.781187:0.000000
6:@0.331109:0.775667:0.337846:0.775667:0.337846:0.763818:0.331109:0.763818:0.000000
–2 0:@0.310501:0.835145:0.337203:0.835145:0.337203:0.823297:0.310501:0.823297:0.000000:0.000000:0.000000:0.000000
2:@0.360909:0.835145:0.367647:0.835145:0.367647:0.823297:0.360909:0.823297:0.000000
4:@0.384209:0.835145:0.390947:0.835145:0.390947:0.823297:0.384209:0.823297:0.000000
6:@0.407902:0.835145:0.414640:0.835145:0.414640:0.823297:0.407902:0.823297:0.000000
8 10 12 14:@0.432371:0.835145:0.511594:0.835145:0.511594:0.823297:0.432371:0.823297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.332104:0.760622:0.337172:0.760622:0.337172:0.750246:0.332104:0.750246:0.000000
x:@0.521540:0.833581:0.526608:0.833581:0.526608:0.823206:0.521540:0.823206:0.000000
12:@0.474700:0.835146:0.488175:0.835146:0.488175:0.823297:0.474700:0.823297:0.000000:0.000000
12:@0.474700:0.835146:0.488175:0.835146:0.488175:0.823297:0.474700:0.823297:0.000000:0.000000
A:@0.393355:0.803391:0.400816:0.803391:0.400816:0.791533:0.393355:0.791533:0.000000
1:@0.400816:0.803391:0.407553:0.803391:0.407553:0.791543:0.400816:0.791543:0.000000
f:@0.343644:0.803579:0.347361:0.803579:0.347361:0.791720:0.343644:0.791720:0.000000
A:@0.464975:0.821805:0.472435:0.821805:0.472435:0.809947:0.464975:0.809947:0.000000
2:@0.472435:0.821805:0.479172:0.821805:0.479172:0.809956:0.472435:0.809956:0.000000
El agua necesita ser :@0.114083:0.573432:0.247834:0.573432:0.247834:0.558533:0.114083:0.558533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tratada para el consumo :@0.081717:0.587263:0.247834:0.587263:0.247834:0.572364:0.081717:0.572364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
humano. El tratamiento se :@0.068952:0.601093:0.247832:0.601093:0.247832:0.586194:0.068952:0.586194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hace en instalaciones :@0.101636:0.614923:0.247834:0.614923:0.247834:0.600024:0.101636:0.600024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
centralizadas que :@0.127719:0.628754:0.247834:0.628754:0.247834:0.613855:0.127719:0.613855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesitan controlar flujos :@0.076725:0.642584:0.247832:0.642584:0.247832:0.627685:0.076725:0.627685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de agua, volumen y :@0.112776:0.656414:0.247832:0.656414:0.247832:0.641515:0.112776:0.641515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo de circulación. :@0.095873:0.670245:0.247832:0.670245:0.247832:0.655346:0.095873:0.655346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estos cálculos se llevan a :@0.080059:0.684075:0.247831:0.684075:0.247831:0.669176:0.080059:0.669176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cabo por medio de la :@0.101385:0.697905:0.247834:0.697905:0.247834:0.683006:0.101385:0.683006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matémática y de sus :@0.107550:0.711735:0.247834:0.711735:0.247834:0.696836:0.107550:0.696836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
herramientas (por :@0.124888:0.725566:0.247834:0.725566:0.247834:0.710667:0.124888:0.710667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, el cálculo :@0.119812:0.739396:0.247832:0.739396:0.247832:0.724497:0.119812:0.724497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral).:@0.186051:0.753226:0.244165:0.753226:0.244165:0.738327:0.186051:0.738327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga y escribe otras :@0.106896:0.891530:0.247177:0.891530:0.247177:0.876656:0.106896:0.876656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaciones de las :@0.125743:0.905360:0.247181:0.905360:0.247181:0.890486:0.125743:0.890486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integrales en la vida diaria.:@0.075452:0.919190:0.244165:0.919190:0.244165:0.904316:0.075452:0.904316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desarrollo:@0.140542:0.533793:0.218777:0.533793:0.218777:0.516893:0.140542:0.516893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sostenible:@0.142432:0.547624:0.220248:0.547624:0.220248:0.530723:0.142432:0.530723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.284005:0.068421:0.241180:0.056510:0.241180:0.056510:0.284005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para el riego en campos se :@0.078551:0.416695:0.241579:0.416695:0.241579:0.403286:0.078551:0.403286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emplean las matemáticas.:@0.078551:0.429266:0.233964:0.429266:0.233964:0.415857:0.078551:0.415857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.811912:0.068421:0.769087:0.056510:0.769087:0.056510:0.811912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.65.:@0.298180:0.946788:0.353208:0.946788:0.353208:0.934325:0.298180:0.934325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.353207:0.946788:0.360095:0.946788:0.360095:0.934496:0.353207:0.934496:0.000000:0.000000
Aplicar la interpretación geométrica de la integral denida de una función escalonada no negativa :@0.361444:0.946788:0.906552:0.946788:0.906552:0.934868:0.361444:0.934868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.655172:0.946788:0.658107:0.946788:0.658107:0.934868:0.655172:0.934868:0.000000
como la supercie limitada por la curva y el eje x.:@0.298180:0.958103:0.559031:0.958103:0.559031:0.946184:0.298180:0.946184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.377826:0.958103:0.380761:0.958103:0.380761:0.946184:0.377826:0.946184:0.000000