﻿:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.221711:0.242599:0.221711:0.242599:0.206347:0.117728:0.206347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.222497:0.108221:0.222497:0.108221:0.205361:0.096132:0.205361:0.000000
2.:@0.096353:0.519766:0.110579:0.519766:0.110579:0.502865:0.096353:0.502865:0.000000:0.000000
  Vamos a calcular el área bajo la curva de la función  ():@0.110579:0.519766:0.529815:0.519607:0.529815:0.503218:0.110579:0.503377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.501780:0.519614:0.523119:0.519614:0.523119:0.503252:0.501780:0.503252:0.000000:0.000000
x:@0.566495:0.509235:0.573958:0.509235:0.573958:0.492873:0.566495:0.492873:0.000000
x:@0.639008:0.509235:0.646471:0.509235:0.646471:0.492873:0.639008:0.492873:0.000000
x:@0.635443:0.529980:0.642906:0.529980:0.642906:0.513619:0.635443:0.513619:0.000000
, 1 0   :@0.596545:0.509235:0.610532:0.509235:0.610532:0.492846:0.596545:0.492846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, 2          :@0.565344:0.529980:0.607543:0.529980:0.607543:0.513591:0.565344:0.513591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= :@0.533409:0.519192:0.556752:0.521550:0.556752:0.504608:0.533409:0.502250:0.000000:0.000000:0.000000
+:@0.578485:0.508820:0.588601:0.508820:0.588601:0.491878:0.578485:0.491878:0.000000
≤ ≤:@0.623927:0.508820:0.661630:0.508820:0.661630:0.491878:0.623927:0.491878:0.000000:0.000000:0.000000
<≤:@0.620371:0.529565:0.658074:0.529565:0.658074:0.512623:0.620371:0.512623:0.000000:0.000000
:@0.547655:0.510078:0.556758:0.510078:0.556758:0.493136:0.547655:0.493136:0.000000
:@0.547648:0.533062:0.556752:0.533062:0.556752:0.516120:0.547648:0.516120:0.000000
2:@0.556696:0.509232:0.565689:0.509232:0.565689:0.492843:0.556696:0.492843:0.000000
2:@0.665180:0.509232:0.674173:0.509232:0.674173:0.492843:0.665180:0.492843:0.000000
2:@0.608175:0.529980:0.617168:0.529980:0.617168:0.513591:0.608175:0.513591:0.000000
5:@0.661615:0.529980:0.670608:0.529980:0.670608:0.513591:0.661615:0.513591:0.000000
3.:@0.096361:0.748582:0.110587:0.748582:0.110587:0.731681:0.096361:0.731681:0.000000:0.000000
  Sea la región limitada por la gráca de la función:  () 4:@0.110587:0.748582:0.545070:0.748905:0.545070:0.732516:0.110587:0.732193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.359839:0.748582:0.363875:0.748582:0.363875:0.732193:0.359839:0.732193:0.000000
fx:@0.490215:0.748900:0.511554:0.748900:0.511554:0.732539:0.490215:0.732539:0.000000:0.000000
x:@0.546442:0.748905:0.553905:0.748905:0.553905:0.732544:0.546442:0.732544:0.000000
x:@0.572665:0.748905:0.580128:0.748905:0.580128:0.732544:0.572665:0.732544:0.000000
=:@0.521838:0.748490:0.531955:0.748490:0.531955:0.731548:0.521838:0.731548:0.000000
−:@0.558435:0.748490:0.568552:0.748490:0.568552:0.731548:0.558435:0.731548:0.000000
2:@0.581728:0.741243:0.586939:0.741243:0.586939:0.731745:0.581728:0.731745:0.000000
 y el eje  ,:@0.589895:0.748588:0.659477:0.748588:0.659477:0.732199:0.589895:0.732199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.648808:0.748588:0.656271:0.748588:0.656271:0.732227:0.648808:0.732227:0.000000
encontremos la integral que permite calcular el área de la región.:@0.124855:0.765185:0.600483:0.765185:0.600483:0.748796:0.124855:0.748796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.096359:0.247810:0.251252:0.247810:0.251252:0.232446:0.096359:0.232446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.275413:0.110585:0.275413:0.110585:0.258512:0.096359:0.258512:0.000000:0.000000
  Para resolver el problema inicial emplearemos la integral denida.:@0.110585:0.275413:0.604442:0.275413:0.604442:0.259024:0.110585:0.259024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.564657:0.275413:0.568693:0.275413:0.568693:0.259024:0.564657:0.259024:0.000000
Paso 1.:@0.102121:0.298686:0.154372:0.298686:0.154372:0.283108:0.102121:0.283108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Denimos la función por partes.:@0.158041:0.298686:0.371044:0.298686:0.371044:0.283787:0.158041:0.283787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.181159:0.298686:0.184828:0.298686:0.184828:0.283787:0.181159:0.283787:0.000000
ft:@0.104383:0.336074:0.120155:0.336074:0.120155:0.321349:0.104383:0.321349:0.000000:0.000000
si:@0.176377:0.317403:0.185498:0.317403:0.185498:0.302678:0.176377:0.302678:0.000000:0.000000
t:@0.218353:0.317403:0.223196:0.317403:0.223196:0.302678:0.218353:0.302678:0.000000
t:@0.216990:0.336074:0.221832:0.336074:0.221832:0.321349:0.216990:0.321349:0.000000
t:@0.216757:0.354745:0.221600:0.354745:0.221600:0.340020:0.216757:0.340020:0.000000
():@0.110880:0.336074:0.125972:0.336074:0.125972:0.321324:0.110880:0.321324:0.000000:0.000000
= :@0.129206:0.335701:0.150222:0.337822:0.150222:0.322574:0.129206:0.320453:0.000000:0.000000:0.000000
≤<:@0.206342:0.317030:0.236642:0.317030:0.236642:0.301782:0.206342:0.301782:0.000000:0.000000
≤<:@0.204976:0.335701:0.235277:0.335701:0.235277:0.320453:0.204976:0.320453:0.000000:0.000000
≤≤:@0.204744:0.354372:0.235045:0.354372:0.235045:0.339124:0.204744:0.339124:0.000000:0.000000
:@0.142029:0.318161:0.150222:0.318161:0.150222:0.302913:0.142029:0.302913:0.000000
:@0.142029:0.328524:0.150222:0.328524:0.150222:0.313276:0.142029:0.313276:0.000000
:@0.142029:0.357519:0.150222:0.357519:0.150222:0.342271:0.142029:0.342271:0.000000
:@0.142029:0.349668:0.150222:0.349668:0.150222:0.334420:0.142029:0.334420:0.000000
5        :@0.150179:0.317403:0.194293:0.317403:0.194293:0.302653:0.150179:0.302653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.194842:0.317403:0.202936:0.317403:0.202936:0.302653:0.194842:0.302653:0.000000
2:@0.239837:0.317403:0.247931:0.317403:0.247931:0.302653:0.239837:0.302653:0.000000
3     si  :@0.150179:0.336074:0.193433:0.336074:0.193433:0.321324:0.150179:0.321324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.193997:0.336074:0.202090:0.336074:0.202090:0.321324:0.193997:0.321324:0.000000
5:@0.238477:0.336074:0.246571:0.336074:0.246571:0.321324:0.238477:0.321324:0.000000
2     si  :@0.150179:0.354745:0.193433:0.354745:0.193433:0.339995:0.150179:0.339995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.193997:0.354745:0.202090:0.354745:0.202090:0.339995:0.193997:0.339995:0.000000
7:@0.237963:0.354745:0.246057:0.354745:0.246057:0.339995:0.237963:0.339995:0.000000
Paso 2.:@0.403601:0.298686:0.455852:0.298686:0.455852:0.283108:0.403601:0.283108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos el costo total como la :@0.459521:0.298686:0.687367:0.298686:0.687367:0.283787:0.459521:0.283787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral en los diferentes intervalos.:@0.403601:0.313773:0.638785:0.313773:0.638785:0.298874:0.403601:0.298874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.405863:0.341489:0.414785:0.341489:0.414785:0.326764:0.405863:0.326764:0.000000
f tdt:@0.447507:0.341489:0.481987:0.341489:0.481987:0.326764:0.447507:0.326764:0.000000:0.000000:0.000000:0.000000:0.000000
dt:@0.518756:0.341489:0.531891:0.341489:0.531891:0.326764:0.518756:0.326764:0.000000:0.000000
dt:@0.568229:0.341489:0.581361:0.341489:0.581361:0.326764:0.568229:0.326764:0.000000:0.000000
dt:@0.617881:0.341489:0.631020:0.341489:0.631020:0.326764:0.617881:0.326764:0.000000:0.000000
=:@0.419712:0.341116:0.428817:0.341116:0.428817:0.325868:0.419712:0.325868:0.000000
=:@0.486615:0.341116:0.495720:0.341116:0.495720:0.325868:0.486615:0.325868:0.000000
+:@0.535761:0.341116:0.544866:0.341116:0.544866:0.325868:0.535761:0.325868:0.000000
+:@0.585234:0.341116:0.594339:0.341116:0.594339:0.325868:0.585234:0.325868:0.000000
∫:@0.432766:0.346941:0.439582:0.346941:0.439582:0.324069:0.432766:0.324069:0.000000
∫:@0.496476:0.346941:0.503293:0.346941:0.503293:0.324069:0.496476:0.324069:0.000000
∫:@0.545891:0.346941:0.552707:0.346941:0.552707:0.324069:0.545891:0.324069:0.000000
∫:@0.595372:0.346941:0.602188:0.346941:0.602188:0.324069:0.595372:0.324069:0.000000
():@0.454016:0.341489:0.469108:0.341489:0.469108:0.326739:0.454016:0.326739:0.000000:0.000000
0:@0.438749:0.346935:0.443440:0.346935:0.443440:0.338387:0.438749:0.338387:0.000000
7:@0.441056:0.330776:0.445747:0.330776:0.445747:0.322228:0.441056:0.322228:0.000000
0:@0.502446:0.346935:0.507137:0.346935:0.507137:0.338387:0.502446:0.338387:0.000000
2:@0.504897:0.330776:0.509588:0.330776:0.509588:0.322228:0.504897:0.322228:0.000000
2:@0.551869:0.346935:0.556560:0.346935:0.556560:0.338387:0.551869:0.338387:0.000000
5:@0.554320:0.330776:0.559011:0.330776:0.559011:0.322228:0.554320:0.322228:0.000000
5:@0.601341:0.346935:0.606031:0.346935:0.606031:0.338387:0.601341:0.338387:0.000000
7:@0.603648:0.330776:0.608338:0.330776:0.608338:0.322228:0.603648:0.322228:0.000000
5:@0.511214:0.341489:0.519307:0.341489:0.519307:0.326739:0.511214:0.326739:0.000000
3:@0.560454:0.341489:0.568548:0.341489:0.568548:0.326739:0.560454:0.326739:0.000000
2:@0.610109:0.341489:0.618203:0.341489:0.618203:0.326739:0.610109:0.326739:0.000000
Paso 3.:@0.102121:0.377990:0.154372:0.377990:0.154372:0.362412:0.102121:0.362412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos cada integral denida :@0.158041:0.377990:0.386858:0.377990:0.386858:0.363091:0.158041:0.363091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.349936:0.377990:0.353605:0.377990:0.353605:0.363091:0.349936:0.363091:0.000000
por separado.:@0.102121:0.393078:0.193303:0.393078:0.193303:0.378179:0.102121:0.378179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.119884:0.416170:0.127977:0.416170:0.127977:0.401420:0.119884:0.401420:0.000000
5:@0.157482:0.416170:0.165575:0.416170:0.165575:0.401420:0.157482:0.401420:0.000000
52 0:@0.196158:0.416170:0.241668:0.416170:0.241668:0.401420:0.196158:0.401420:0.000000:0.000000:0.000000:0.000000
10:@0.262930:0.416170:0.279032:0.416170:0.279032:0.401420:0.262930:0.401420:0.000000:0.000000
3:@0.119702:0.444065:0.127795:0.444065:0.127795:0.429315:0.119702:0.429315:0.000000
3:@0.156022:0.444065:0.164116:0.444065:0.164116:0.429315:0.156022:0.429315:0.000000
35 2:@0.194665:0.444065:0.240160:0.444071:0.240160:0.429321:0.194665:0.429315:0.000000:0.000000:0.000000:0.000000
9:@0.261936:0.444071:0.270030:0.444071:0.270030:0.429321:0.261936:0.429321:0.000000
2:@0.119884:0.471865:0.127977:0.471865:0.127977:0.457115:0.119884:0.457115:0.000000
2:@0.157714:0.471865:0.165808:0.471865:0.165808:0.457115:0.157714:0.457115:0.000000
27 5:@0.196357:0.471865:0.242098:0.471865:0.242098:0.457115:0.196357:0.457115:0.000000:0.000000:0.000000:0.000000
0:@0.111120:0.421616:0.115811:0.421616:0.115811:0.413068:0.111120:0.413068:0.000000
2:@0.113571:0.405456:0.118261:0.405456:0.118261:0.396908:0.113571:0.396908:0.000000
0:@0.173738:0.419530:0.178429:0.419530:0.178429:0.410982:0.173738:0.410982:0.000000
2:@0.173738:0.407577:0.178429:0.407577:0.178429:0.399029:0.173738:0.399029:0.000000
2:@0.111118:0.449518:0.115809:0.449518:0.115809:0.440970:0.111118:0.440970:0.000000
5:@0.113569:0.433359:0.118260:0.433359:0.118260:0.424811:0.113569:0.424811:0.000000
2:@0.172508:0.447433:0.177198:0.447433:0.177198:0.438885:0.172508:0.438885:0.000000
5:@0.172508:0.435480:0.177198:0.435480:0.177198:0.426932:0.172508:0.426932:0.000000
5:@0.111120:0.477311:0.115811:0.477311:0.115811:0.468763:0.111120:0.468763:0.000000
7:@0.113429:0.461151:0.118120:0.461151:0.118120:0.452602:0.113429:0.452602:0.000000
5:@0.174214:0.475225:0.178904:0.475225:0.178904:0.466677:0.174214:0.466677:0.000000
7:@0.174069:0.463272:0.178760:0.463272:0.178760:0.454723:0.174069:0.454723:0.000000
dt:@0.127423:0.416170:0.140558:0.416170:0.140558:0.401445:0.127423:0.401445:0.000000:0.000000
t:@0.164507:0.416170:0.169349:0.416170:0.169349:0.401445:0.164507:0.401445:0.000000
dt:@0.127473:0.444065:0.140608:0.444065:0.140608:0.429340:0.127473:0.429340:0.000000:0.000000
t:@0.163279:0.444065:0.168122:0.444065:0.168122:0.429340:0.163279:0.429340:0.000000
dt:@0.127655:0.471860:0.140790:0.471860:0.140790:0.457134:0.127655:0.457134:0.000000:0.000000
t:@0.164971:0.471860:0.169814:0.471860:0.169814:0.457134:0.164971:0.457134:0.000000
∫:@0.105137:0.421622:0.111953:0.421622:0.111953:0.398750:0.105137:0.398750:0.000000
∫:@0.105137:0.449516:0.111953:0.449516:0.111953:0.426645:0.105137:0.426645:0.000000
∫:@0.105137:0.477317:0.111953:0.477317:0.111953:0.454445:0.105137:0.454445:0.000000
=:@0.145185:0.415797:0.154291:0.415797:0.154291:0.400549:0.145185:0.400549:0.000000
=:@0.183861:0.415797:0.192967:0.415797:0.192967:0.400549:0.183861:0.400549:0.000000
−:@0.222040:0.415797:0.231145:0.415797:0.231145:0.400549:0.222040:0.400549:0.000000
(:@0.205164:0.417372:0.210687:0.417372:0.210687:0.397885:0.205164:0.397885:0.000000
):@0.242712:0.417372:0.248235:0.417372:0.248235:0.397885:0.242712:0.397885:0.000000
=:@0.251667:0.415797:0.260772:0.415797:0.260772:0.400549:0.251667:0.400549:0.000000
=:@0.145225:0.443691:0.154330:0.443691:0.154330:0.428443:0.145225:0.428443:0.000000
=:@0.182359:0.443691:0.191464:0.443691:0.191464:0.428443:0.182359:0.428443:0.000000
−:@0.220521:0.443691:0.229626:0.443691:0.229626:0.428443:0.220521:0.428443:0.000000
(:@0.203893:0.445273:0.209415:0.445273:0.209415:0.425786:0.203893:0.425786:0.000000
):@0.240694:0.445273:0.246217:0.445273:0.246217:0.425786:0.240694:0.425786:0.000000
=:@0.249642:0.443698:0.258747:0.443698:0.258747:0.428450:0.249642:0.428450:0.000000
=:@0.145422:0.471493:0.154527:0.471493:0.154527:0.456245:0.145422:0.456245:0.000000
=:@0.184065:0.471493:0.193170:0.471493:0.193170:0.456245:0.184065:0.456245:0.000000
−:@0.222459:0.471493:0.231564:0.471493:0.231564:0.456245:0.222459:0.456245:0.000000
(:@0.205588:0.473066:0.211111:0.473066:0.211111:0.453580:0.205588:0.453580:0.000000
) ):@0.242390:0.473066:0.247913:0.473066:0.247913:0.453580:0.242390:0.453580:0.000000:0.000000:0.000000
=:@0.251339:0.471492:0.260444:0.471492:0.260444:0.456244:0.251339:0.456244:0.000000
4:@0.264159:0.471865:0.272252:0.471865:0.272252:0.457115:0.264159:0.457115:0.000000
Paso 4.:@0.403601:0.377990:0.455852:0.377990:0.455852:0.362412:0.403601:0.362412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para determinar el costo total, :@0.459521:0.377990:0.661518:0.377990:0.661518:0.363091:0.459521:0.363091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumamos los resultados del paso 3.:@0.403601:0.393078:0.638535:0.393078:0.638535:0.378179:0.403601:0.378179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.405863:0.418273:0.414785:0.418273:0.414785:0.403547:0.405863:0.403547:0.000000
f tdt:@0.447507:0.418273:0.481987:0.418273:0.481987:0.403547:0.447507:0.403547:0.000000:0.000000:0.000000:0.000000:0.000000
dt:@0.518756:0.418273:0.531891:0.418273:0.531891:0.403547:0.518756:0.403547:0.000000:0.000000
dt:@0.568229:0.418273:0.581361:0.418273:0.581361:0.403547:0.568229:0.403547:0.000000:0.000000
dt:@0.617881:0.418273:0.631020:0.418273:0.631020:0.403547:0.617881:0.403547:0.000000:0.000000
C:@0.405864:0.446167:0.414786:0.446167:0.414786:0.431442:0.405864:0.431442:0.000000
f tdt:@0.447508:0.446167:0.481988:0.446167:0.481988:0.431442:0.447508:0.431442:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.419712:0.417899:0.428817:0.417899:0.428817:0.402651:0.419712:0.402651:0.000000
=:@0.486615:0.417899:0.495720:0.417899:0.495720:0.402651:0.486615:0.402651:0.000000
+:@0.535761:0.417899:0.544866:0.417899:0.544866:0.402651:0.535761:0.402651:0.000000
+:@0.585234:0.417899:0.594339:0.417899:0.594339:0.402651:0.585234:0.402651:0.000000
=:@0.419715:0.445799:0.428820:0.445799:0.428820:0.430551:0.419715:0.430551:0.000000
=:@0.486619:0.445799:0.495724:0.445799:0.495724:0.430551:0.486619:0.430551:0.000000
++ =:@0.513718:0.445799:0.569792:0.445799:0.569792:0.430551:0.513718:0.430551:0.000000:0.000000:0.000000:0.000000
∫:@0.432766:0.423724:0.439582:0.423724:0.439582:0.400852:0.432766:0.400852:0.000000
∫:@0.496476:0.423724:0.503293:0.423724:0.503293:0.400852:0.496476:0.400852:0.000000
∫:@0.545891:0.423724:0.552707:0.423724:0.552707:0.400852:0.545891:0.400852:0.000000
∫:@0.595372:0.423724:0.602188:0.423724:0.602188:0.400852:0.595372:0.400852:0.000000
∫:@0.432774:0.451619:0.439590:0.451619:0.439590:0.428747:0.432774:0.428747:0.000000
():@0.454016:0.418273:0.469108:0.418273:0.469108:0.403523:0.454016:0.403523:0.000000:0.000000
():@0.454016:0.446167:0.469108:0.446167:0.469108:0.431417:0.454016:0.431417:0.000000:0.000000
0:@0.438749:0.423718:0.443440:0.423718:0.443440:0.415170:0.438749:0.415170:0.000000
7:@0.441058:0.407558:0.445748:0.407558:0.445748:0.399010:0.441058:0.399010:0.000000
0:@0.502450:0.423718:0.507141:0.423718:0.507141:0.415170:0.502450:0.415170:0.000000
2:@0.504901:0.407558:0.509592:0.407558:0.509592:0.399010:0.504901:0.399010:0.000000
2:@0.551875:0.423718:0.556566:0.423718:0.556566:0.415170:0.551875:0.415170:0.000000
5:@0.554326:0.407558:0.559016:0.407558:0.559016:0.399010:0.554326:0.399010:0.000000
5:@0.601347:0.423718:0.606037:0.423718:0.606037:0.415170:0.601347:0.415170:0.000000
7:@0.603657:0.407558:0.608347:0.407558:0.608347:0.399010:0.603657:0.399010:0.000000
0:@0.438749:0.451620:0.443439:0.451620:0.443439:0.443072:0.438749:0.443072:0.000000
7:@0.441058:0.435458:0.445748:0.435458:0.445748:0.426910:0.441058:0.426910:0.000000
5:@0.511214:0.418273:0.519307:0.418273:0.519307:0.403523:0.511214:0.403523:0.000000
3:@0.560454:0.418273:0.568548:0.418273:0.568548:0.403523:0.560454:0.403523:0.000000
2:@0.610109:0.418273:0.618203:0.418273:0.618203:0.403523:0.610109:0.403523:0.000000
10 94 23:@0.494679:0.446167:0.589096:0.446167:0.589096:0.431417:0.494679:0.431417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debe pagar $23 por el uso de parqueadero.:@0.403601:0.476614:0.693664:0.476614:0.693664:0.461715:0.403601:0.461715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.555991:0.154372:0.555991:0.154372:0.540413:0.102121:0.540413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gracamos la función e :@0.158041:0.555991:0.318194:0.555991:0.318194:0.541092:0.158041:0.541092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.185096:0.555991:0.188765:0.555991:0.188765:0.541092:0.185096:0.541092:0.000000
interpretamos.:@0.102121:0.571079:0.199384:0.571079:0.199384:0.556180:0.102121:0.556180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.403597:0.555991:0.455848:0.555991:0.455848:0.540413:0.403597:0.540413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos el área bajo la función :@0.459517:0.555991:0.689978:0.555991:0.689978:0.541092:0.459517:0.541092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por partes como la suma de integrales.:@0.403597:0.571079:0.662132:0.571079:0.662132:0.556180:0.403597:0.556180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx dx:@0.422329:0.598785:0.462315:0.598785:0.462315:0.584059:0.422329:0.584059:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.506912:0.598785:0.513628:0.598785:0.513628:0.584059:0.506912:0.584059:0.000000
dx:@0.541972:0.598785:0.556981:0.598785:0.556981:0.584059:0.541972:0.584059:0.000000:0.000000
dx:@0.593518:0.598785:0.608527:0.598785:0.608527:0.584059:0.593518:0.584059:0.000000:0.000000
x:@0.437703:0.626679:0.444420:0.626679:0.444420:0.611954:0.437703:0.611954:0.000000
dx:@0.472763:0.626679:0.487773:0.626679:0.487773:0.611954:0.472763:0.611954:0.000000:0.000000
x:@0.509084:0.626679:0.515801:0.626679:0.515801:0.611954:0.509084:0.611954:0.000000
():@0.428847:0.598785:0.447571:0.598785:0.447571:0.584035:0.428847:0.584035:0.000000:0.000000
(:@0.503097:0.626679:0.507492:0.626679:0.507492:0.611929:0.503097:0.611929:0.000000
) x:@0.542868:0.626679:0.544229:0.626679:0.544229:0.611929:0.542868:0.611929:0.000000:0.000000:0.000000
=:@0.467141:0.598411:0.476246:0.598411:0.476246:0.583163:0.467141:0.583163:0.000000
+:@0.517688:0.598411:0.526794:0.598411:0.526794:0.583163:0.517688:0.583163:0.000000
(:@0.491731:0.599993:0.454182:0.599993:0.454182:0.580507:0.491731:0.580507:0.000000
):@0.534802:0.599993:0.497253:0.599993:0.497253:0.580507:0.534802:0.580507:0.000000
+:@0.561039:0.598411:0.570144:0.598411:0.570144:0.583163:0.561039:0.583163:0.000000
+:@0.448477:0.626306:0.457582:0.626306:0.457582:0.611058:0.448477:0.611058:0.000000
(:@0.422516:0.627894:0.384968:0.627894:0.384968:0.608407:0.422516:0.608407:0.000000
):@0.465587:0.627894:0.428039:0.627894:0.428039:0.608407:0.465587:0.608407:0.000000
=:@0.492578:0.626311:0.501683:0.626311:0.501683:0.611063:0.492578:0.611063:0.000000
+:@0.524235:0.626311:0.533341:0.626311:0.533341:0.611063:0.524235:0.611063:0.000000
=:@0.560377:0.626311:0.569482:0.626311:0.569482:0.611063:0.560377:0.611063:0.000000
+ −:@0.590575:0.626311:0.596062:0.626311:0.596062:0.611063:0.590575:0.611063:0.000000:0.000000:0.000000
(:@0.572675:0.627894:0.543187:0.627894:0.543187:0.608407:0.572675:0.608407:0.000000
):@0.607685:0.627894:0.578198:0.627894:0.578198:0.608407:0.607685:0.608407:0.000000
+:@0.644805:0.626311:0.624986:0.626311:0.624986:0.611063:0.644805:0.611063:0.000000
∫:@0.407769:0.604235:0.345377:0.604235:0.345377:0.581363:0.407769:0.581363:0.000000
∫:@0.476978:0.604235:0.414586:0.604235:0.414586:0.581363:0.476978:0.581363:0.000000
∫:@0.571163:0.604235:0.577980:0.604235:0.577980:0.581363:0.571163:0.581363:0.000000
∫:@0.407769:0.632129:0.414586:0.632129:0.414586:0.609258:0.407769:0.609258:0.000000
0:@0.413753:0.604229:0.418444:0.604229:0.418444:0.595681:0.413753:0.595681:0.000000
5:@0.416204:0.588070:0.420895:0.588070:0.420895:0.579522:0.416204:0.579522:0.000000
0:@0.482967:0.604229:0.487657:0.604229:0.487657:0.595681:0.482967:0.595681:0.000000
2:@0.485418:0.588070:0.490108:0.588070:0.490108:0.579522:0.485418:0.579522:0.000000
2:@0.577152:0.604229:0.581842:0.604229:0.581842:0.595681:0.577152:0.595681:0.000000
5:@0.579603:0.588070:0.584293:0.588070:0.584293:0.579522:0.579603:0.579522:0.000000
0:@0.413753:0.632132:0.418444:0.632132:0.418444:0.623584:0.413753:0.623584:0.000000
2:@0.416204:0.615980:0.420895:0.615980:0.420895:0.607432:0.416204:0.607432:0.000000
2:@0.517223:0.619789:0.521914:0.619789:0.521914:0.611241:0.517223:0.611241:0.000000
0:@0.550249:0.631714:0.554939:0.631714:0.554939:0.623165:0.550249:0.623165:0.000000
2:@0.550249:0.616428:0.554939:0.616428:0.554939:0.607879:0.550249:0.607879:0.000000
2:@0.498090:0.598785:0.506183:0.598785:0.506183:0.584035:0.498090:0.584035:0.000000
1:@0.528473:0.598785:0.536567:0.598785:0.536567:0.584035:0.528473:0.584035:0.000000
2:@0.585724:0.598785:0.593818:0.598785:0.593818:0.584035:0.585724:0.584035:0.000000
2:@0.428881:0.626679:0.436975:0.626679:0.436975:0.611929:0.428881:0.611929:0.000000
1:@0.459265:0.626679:0.467358:0.626679:0.467358:0.611929:0.459265:0.611929:0.000000
4 2:@0.578593:0.626679:0.609474:0.626679:0.609474:0.611929:0.578593:0.611929:0.000000:0.000000:0.000000
0 0:@0.633804:0.626679:0.663706:0.626679:0.663706:0.611929:0.633804:0.611929:0.000000:0.000000:0.000000
(:@0.627425:0.627894:0.632948:0.627894:0.632948:0.608407:0.627425:0.608407:0.000000
=:@0.672429:0.626311:0.681534:0.626311:0.681534:0.611063:0.672429:0.611063:0.000000
=:@0.449943:0.654217:0.459048:0.654217:0.459048:0.638970:0.449943:0.638970:0.000000
=:@0.492197:0.654217:0.501303:0.654217:0.501303:0.638970:0.492197:0.638970:0.000000
():@0.513733:0.655786:0.534000:0.655786:0.534000:0.636299:0.513733:0.636299:0.000000:0.000000
−:@0.536667:0.654220:0.545772:0.654220:0.545772:0.638972:0.536667:0.638972:0.000000
():@0.557457:0.655786:0.577956:0.655786:0.577956:0.636299:0.557457:0.636299:0.000000:0.000000
=:@0.581393:0.654220:0.590498:0.654220:0.590498:0.638972:0.581393:0.638972:0.000000
− =:@0.611690:0.654220:0.644631:0.654220:0.644631:0.638972:0.611690:0.638972:0.000000:0.000000:0.000000
= + =:@0.467140:0.682003:0.523843:0.682003:0.523843:0.666755:0.467140:0.666755:0.000000:0.000000:0.000000:0.000000:0.000000
∫:@0.407769:0.660036:0.414586:0.660036:0.414586:0.637165:0.407769:0.637165:0.000000
∫:@0.407769:0.687837:0.414586:0.687837:0.414586:0.664966:0.407769:0.664966:0.000000
6:@0.685233:0.626684:0.693326:0.626684:0.693326:0.611934:0.685233:0.611934:0.000000
2:@0.422329:0.654591:0.430423:0.654591:0.430423:0.639841:0.422329:0.639841:0.000000
2:@0.462232:0.654591:0.470326:0.654591:0.470326:0.639841:0.462232:0.639841:0.000000
25:@0.504507:0.654591:0.528190:0.654591:0.528190:0.639841:0.504507:0.639841:0.000000:0.000000
22:@0.548225:0.654591:0.571908:0.654591:0.571908:0.639841:0.548225:0.639841:0.000000:0.000000
10 46:@0.592672:0.654591:0.656176:0.654591:0.656176:0.639841:0.592672:0.639841:0.000000:0.000000:0.000000:0.000000:0.000000
66 12:@0.479895:0.682373:0.542122:0.682373:0.542122:0.667623:0.479895:0.667623:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.413753:0.660031:0.418444:0.660031:0.418444:0.651482:0.413753:0.651482:0.000000
5:@0.416204:0.643865:0.420895:0.643865:0.420895:0.635316:0.416204:0.635316:0.000000
2:@0.482352:0.657946:0.487042:0.657946:0.487042:0.649398:0.482352:0.649398:0.000000
5:@0.482352:0.645986:0.487042:0.645986:0.487042:0.637437:0.482352:0.637437:0.000000
0:@0.413753:0.687825:0.418444:0.687825:0.418444:0.679277:0.413753:0.679277:0.000000
5:@0.416204:0.671674:0.420895:0.671674:0.420895:0.663125:0.416204:0.663125:0.000000
dx:@0.430102:0.654594:0.445111:0.654594:0.445111:0.639869:0.430102:0.639869:0.000000:0.000000
x:@0.471050:0.654594:0.477767:0.654594:0.477767:0.639869:0.471050:0.639869:0.000000
fx dx:@0.422324:0.682376:0.462310:0.682376:0.462310:0.667651:0.422324:0.667651:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.428825:0.682376:0.447549:0.682376:0.447549:0.667626:0.428825:0.667626:0.000000:0.000000
–1:@0.253021:0.906412:0.266325:0.906412:0.266325:0.894564:0.253021:0.894564:0.000000:0.000000
1:@0.259588:0.872089:0.266325:0.872089:0.266325:0.860241:0.259588:0.860241:0.000000
2:@0.259588:0.854317:0.266325:0.854317:0.266325:0.842468:0.259588:0.842468:0.000000
3:@0.259588:0.836948:0.266325:0.836948:0.266325:0.825100:0.259588:0.825100:0.000000
4:@0.259588:0.819994:0.266325:0.819994:0.266325:0.808145:0.259588:0.808145:0.000000
5:@0.259588:0.802004:0.266325:0.802004:0.266325:0.790156:0.259588:0.790156:0.000000
–2 –1 0:@0.215970:0.896437:0.265682:0.896437:0.265682:0.884588:0.215970:0.884588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–4 –3:@0.169844:0.896437:0.206146:0.896437:0.206146:0.884588:0.169844:0.884588:0.000000:0.000000:0.000000:0.000000:0.000000
–5:@0.146965:0.896437:0.160269:0.896437:0.160269:0.884588:0.146965:0.884588:0.000000:0.000000
1:@0.289375:0.896437:0.296113:0.896437:0.296113:0.884588:0.289375:0.884588:0.000000
2:@0.312675:0.896437:0.319412:0.896437:0.319412:0.884588:0.312675:0.884588:0.000000
3:@0.336368:0.896437:0.343106:0.896437:0.343106:0.884588:0.336368:0.884588:0.000000
4:@0.360837:0.896437:0.367574:0.896437:0.367574:0.884588:0.360837:0.884588:0.000000
5:@0.382665:0.896437:0.389403:0.896437:0.389403:0.884588:0.382665:0.884588:0.000000
6:@0.405728:0.896437:0.412466:0.896437:0.412466:0.884588:0.405728:0.884588:0.000000
7:@0.429514:0.896437:0.436251:0.896437:0.436251:0.884588:0.429514:0.884588:0.000000
8:@0.452931:0.896437:0.459669:0.896437:0.459669:0.884588:0.452931:0.884588:0.000000
y:@0.260583:0.786747:0.265651:0.786747:0.265651:0.776371:0.260583:0.776371:0.000000
x:@0.473521:0.894863:0.478589:0.894863:0.478589:0.884487:0.473521:0.884487:0.000000
f( ) = 4 −:@0.285743:0.812933:0.339369:0.812933:0.339369:0.801085:0.285743:0.801085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.293308:0.812933:0.299100:0.812933:0.299100:0.801075:0.293308:0.801075:0.000000
x x:@0.322965:0.812933:0.345161:0.812933:0.345161:0.801075:0.322965:0.801075:0.000000:0.000000:0.000000
2:@0.345159:0.808623:0.349087:0.808623:0.349087:0.801715:0.345159:0.801715:0.000000
•  Encontramos los cortes de la función con el eje  .:@0.517633:0.790469:0.864421:0.790469:0.864421:0.775570:0.517633:0.775570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.854722:0.790469:0.861506:0.790469:0.861506:0.775595:0.854722:0.775595:0.000000
4:@0.539470:0.812628:0.547743:0.812628:0.547743:0.797550:0.539470:0.797550:0.000000
0:@0.604113:0.812628:0.612387:0.812628:0.612387:0.797550:0.604113:0.797550:0.000000
4:@0.653668:0.812628:0.661941:0.812628:0.661941:0.797550:0.653668:0.797550:0.000000
0;   :@0.708868:0.812628:0.733926:0.812628:0.733926:0.797550:0.708868:0.797550:0.000000:0.000000:0.000000:0.000000:0.000000
0 y :@0.758271:0.812628:0.782124:0.812628:0.782124:0.797550:0.758271:0.797550:0.000000:0.000000:0.000000:0.000000
4:@0.807012:0.812628:0.815285:0.812628:0.815285:0.797550:0.807012:0.797550:0.000000
2:@0.581468:0.805580:0.586263:0.805580:0.586263:0.796841:0.581468:0.796841:0.000000
x:@0.549007:0.812628:0.555873:0.812628:0.555873:0.797575:0.549007:0.797575:0.000000
x:@0.573132:0.812628:0.579998:0.812628:0.579998:0.797575:0.573132:0.797575:0.000000
x:@0.636911:0.812628:0.643777:0.812628:0.643777:0.797575:0.636911:0.797575:0.000000
x:@0.678040:0.812628:0.684906:0.812628:0.684906:0.797575:0.678040:0.797575:0.000000
x:@0.733918:0.812628:0.740784:0.812628:0.740784:0.797575:0.733918:0.797575:0.000000
x:@0.782134:0.812628:0.789000:0.812628:0.789000:0.797575:0.782134:0.797575:0.000000
−:@0.560044:0.812246:0.569351:0.812246:0.569351:0.796659:0.560044:0.796659:0.000000
= ⇒:@0.591543:0.812246:0.632350:0.812246:0.632350:0.796659:0.591543:0.796659:0.000000:0.000000:0.000000
−:@0.664935:0.812246:0.674242:0.812246:0.674242:0.796659:0.664935:0.796659:0.000000
(:@0.646633:0.813856:0.652279:0.813856:0.652279:0.793936:0.646633:0.793936:0.000000
):@0.687135:0.813856:0.692780:0.813856:0.692780:0.793936:0.687135:0.793936:0.000000
=:@0.696289:0.812246:0.705597:0.812246:0.705597:0.796659:0.696289:0.796659:0.000000
=:@0.745708:0.812246:0.755016:0.812246:0.755016:0.796659:0.745708:0.796659:0.000000
=:@0.793924:0.812246:0.803231:0.812246:0.803231:0.796659:0.793924:0.796659:0.000000
•  El intervalo de la región es [0, 4].:@0.517633:0.834899:0.749465:0.834899:0.749465:0.820000:0.517633:0.820000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  La integral denida es::@0.517633:0.857116:0.685338:0.857116:0.685338:0.842217:0.517633:0.842217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.631127:0.857116:0.634796:0.857116:0.634796:0.842217:0.631127:0.842217:0.000000
4:@0.562347:0.882742:0.570620:0.882742:0.570620:0.867664:0.562347:0.867664:0.000000
2:@0.658676:0.882742:0.666950:0.882742:0.666950:0.867664:0.658676:0.867664:0.000000
1:@0.692532:0.874535:0.700806:0.874535:0.700806:0.859458:0.692532:0.859458:0.000000
3:@0.691854:0.892858:0.700127:0.892858:0.700127:0.877780:0.691854:0.877780:0.000000
8:@0.761940:0.882742:0.770213:0.882742:0.770213:0.867664:0.761940:0.867664:0.000000
64:@0.786607:0.874535:0.803069:0.874535:0.803069:0.859458:0.786607:0.859458:0.000000:0.000000
3:@0.790845:0.892858:0.799118:0.892858:0.799118:0.877780:0.790845:0.877780:0.000000
0:@0.827499:0.882742:0.835772:0.882742:0.835772:0.867664:0.827499:0.867664:0.000000
40:@0.853980:0.874535:0.870442:0.874535:0.870442:0.859458:0.853980:0.859458:0.000000:0.000000
3:@0.858066:0.892858:0.866339:0.892858:0.866339:0.877780:0.858066:0.877780:0.000000
2:@0.604345:0.875693:0.609140:0.875693:0.609140:0.866955:0.604345:0.866955:0.000000
0:@0.545826:0.888310:0.550621:0.888310:0.550621:0.879572:0.545826:0.879572:0.000000
4:@0.548616:0.871792:0.553411:0.871792:0.553411:0.863054:0.548616:0.863054:0.000000
3:@0.712276:0.875693:0.717071:0.875693:0.717071:0.866955:0.712276:0.866955:0.000000
0:@0.730389:0.895394:0.735183:0.895394:0.735183:0.886655:0.730389:0.886655:0.000000
4:@0.730674:0.864739:0.735468:0.864739:0.735468:0.856001:0.730674:0.856001:0.000000
x:@0.571884:0.882742:0.578750:0.882742:0.578750:0.867690:0.571884:0.867690:0.000000
x dx:@0.596009:0.882742:0.634374:0.882742:0.634374:0.867690:0.596009:0.867690:0.000000:0.000000:0.000000:0.000000
x:@0.667671:0.882742:0.674537:0.882742:0.674537:0.867690:0.667671:0.867690:0.000000
x:@0.703934:0.882742:0.710801:0.882742:0.710801:0.867690:0.703934:0.867690:0.000000
−:@0.582904:0.882361:0.592211:0.882361:0.592211:0.866774:0.582904:0.866774:0.000000
(:@0.555365:0.885476:0.561010:0.885476:0.561010:0.860990:0.555365:0.860990:0.000000
):@0.611718:0.885476:0.617363:0.885476:0.617363:0.860990:0.611718:0.860990:0.000000
=:@0.639313:0.882361:0.648620:0.882361:0.648620:0.866774:0.639313:0.866774:0.000000
−:@0.678712:0.882361:0.688020:0.882361:0.688020:0.866774:0.678712:0.866774:0.000000
:@0.650349:0.875311:0.656859:0.875311:0.656859:0.859725:0.650349:0.859725:0.000000
:@0.650349:0.893787:0.656859:0.893787:0.656859:0.878200:0.650349:0.878200:0.000000
:@0.650349:0.885796:0.656859:0.885796:0.656859:0.870209:0.650349:0.870209:0.000000
:@0.720435:0.875311:0.726945:0.875311:0.726945:0.859725:0.720435:0.859725:0.000000
:@0.720435:0.893787:0.726945:0.893787:0.726945:0.878200:0.720435:0.878200:0.000000
:@0.720435:0.885796:0.726945:0.885796:0.726945:0.870209:0.720435:0.870209:0.000000
=:@0.741050:0.882361:0.750357:0.882361:0.750357:0.866774:0.741050:0.866774:0.000000
−:@0.773228:0.882361:0.782535:0.882361:0.782535:0.866774:0.773228:0.866774:0.000000
:@0.753612:0.875311:0.760123:0.875311:0.760123:0.859725:0.753612:0.859725:0.000000
:@0.753612:0.893787:0.760123:0.893787:0.760123:0.878200:0.753612:0.878200:0.000000
:@0.753612:0.885796:0.760123:0.885796:0.760123:0.870209:0.753612:0.870209:0.000000
:@0.806253:0.875311:0.812763:0.875311:0.812763:0.859725:0.806253:0.859725:0.000000
:@0.806253:0.893787:0.812763:0.893787:0.812763:0.878200:0.806253:0.878200:0.000000
:@0.806253:0.885796:0.812763:0.885796:0.812763:0.870209:0.806253:0.870209:0.000000
−=:@0.815696:0.882361:0.848840:0.882361:0.848840:0.866774:0.815696:0.866774:0.000000:0.000000
∫:@0.539711:0.888314:0.546679:0.888314:0.546679:0.864934:0.539711:0.864934:0.000000
1:@0.164876:0.679071:0.171751:0.679071:0.171751:0.666981:0.164876:0.666981:0.000000
2:@0.164876:0.660935:0.171751:0.660935:0.171751:0.648845:0.164876:0.648845:0.000000
3:@0.164876:0.643213:0.171751:0.643213:0.171751:0.631122:0.164876:0.631122:0.000000
4:@0.164876:0.625912:0.171751:0.625912:0.171751:0.613822:0.164876:0.613822:0.000000
5:@0.164876:0.607555:0.171751:0.607555:0.171751:0.595465:0.164876:0.595465:0.000000
–2 –1 0:@0.120368:0.703915:0.171081:0.703915:0.171081:0.691825:0.120368:0.691825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.195272:0.703915:0.202147:0.703915:0.202147:0.691825:0.195272:0.691825:0.000000
2:@0.219047:0.703915:0.225922:0.703915:0.225922:0.691825:0.219047:0.691825:0.000000
3:@0.243210:0.703915:0.250086:0.703915:0.250086:0.691825:0.243210:0.691825:0.000000
4:@0.268178:0.703915:0.275053:0.703915:0.275053:0.691825:0.268178:0.691825:0.000000
5:@0.290452:0.703915:0.297327:0.703915:0.297327:0.691825:0.290452:0.691825:0.000000
6:@0.313986:0.703915:0.320861:0.703915:0.320861:0.691825:0.313986:0.691825:0.000000
7:@0.338257:0.703915:0.345132:0.703915:0.345132:0.691825:0.338257:0.691825:0.000000
8:@0.362152:0.703915:0.369028:0.703915:0.369028:0.691825:0.362152:0.691825:0.000000
y:@0.165891:0.591985:0.171063:0.591985:0.171063:0.581397:0.165891:0.581397:0.000000
x:@0.382941:0.702307:0.388112:0.702307:0.388112:0.691719:0.382941:0.691719:0.000000
f x:@0.185889:0.600943:0.199398:0.600943:0.199398:0.588843:0.185889:0.588843:0.000000:0.000000:0.000000
( ) = 2 + 1,  (0 ≤  ≤ 2):@0.189682:0.600943:0.312872:0.600943:0.312872:0.588853:0.189682:0.588853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.223749:0.600943:0.229659:0.600943:0.229659:0.588843:0.223749:0.588843:0.000000
x :@0.283012:0.600943:0.291362:0.600943:0.291362:0.588843:0.283012:0.588843:0.000000:0.000000
El costo del :@0.754293:0.210624:0.834017:0.210624:0.834017:0.195725:0.754293:0.195725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estacionamiento puede :@0.754293:0.224455:0.917074:0.224455:0.917074:0.209556:0.754293:0.209556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
variar significativamente :@0.754293:0.238285:0.919972:0.238285:0.919972:0.223386:0.754293:0.223386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a lo largo del día. Planificar :@0.754293:0.252115:0.933677:0.252115:0.933677:0.237216:0.754293:0.237216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuándo y dónde :@0.754293:0.265946:0.867891:0.265946:0.867891:0.251047:0.754293:0.251047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estacionar puede marcar :@0.754293:0.279776:0.923473:0.279776:0.923473:0.264877:0.754293:0.264877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la diferencia en el :@0.754293:0.293606:0.874223:0.293606:0.874223:0.278707:0.754293:0.278707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presupuesto mensual. :@0.754293:0.307436:0.905262:0.307436:0.905262:0.292537:0.754293:0.292537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprovechar tarifas más :@0.754293:0.321267:0.909669:0.321267:0.909669:0.306368:0.754293:0.306368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bajas durante las horas :@0.754293:0.335097:0.910088:0.335097:0.910088:0.320198:0.754293:0.320198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menos concurridas o :@0.754293:0.348927:0.898512:0.348927:0.898512:0.334028:0.754293:0.334028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
explorar opciones de :@0.754293:0.362758:0.898447:0.362758:0.898447:0.347859:0.754293:0.347859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estacionamiento gratuito :@0.754293:0.376588:0.926655:0.376588:0.926655:0.361689:0.754293:0.361689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede ayudar a optimizar :@0.754293:0.390418:0.928868:0.390418:0.928868:0.375519:0.754293:0.375519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nuestros recursos.:@0.754293:0.404249:0.873635:0.404249:0.873635:0.389350:0.754293:0.389350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿En qué otras actividades :@0.754293:0.585740:0.916605:0.585740:0.916605:0.570866:0.754293:0.570866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puedes procurar ahorrar?:@0.754293:0.599570:0.914090:0.599570:0.914090:0.584697:0.754293:0.584697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.801769:0.171267:0.883453:0.171267:0.883453:0.154366:0.801769:0.154366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nanciera:@0.801594:0.185097:0.876643:0.185097:0.876643:0.168197:0.801594:0.168197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.806487:0.185097:0.810111:0.185097:0.810111:0.168197:0.806487:0.168197:0.000000
Teorema fundamental del cálculo.:@0.096359:0.096842:0.366606:0.096842:0.366606:0.079942:0.096359:0.079942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Conocido como la regla de Barrow o segundo :@0.366606:0.096842:0.716510:0.096842:0.716510:0.080453:0.366606:0.080453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teorema fundamental del cálculo, dice que si F es una antiderivada o primitiva de f en :@0.096359:0.113439:0.716613:0.113439:0.716613:0.097050:0.096359:0.097050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el intervalo [a, b], entonces la integral denida se puede calcular como::@0.096359:0.130035:0.615165:0.130035:0.615165:0.113646:0.096359:0.113646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.396448:0.130035:0.400483:0.130035:0.400483:0.113646:0.396448:0.113646:0.000000
fx dx:@0.313308:0.153240:0.357737:0.153240:0.357737:0.136879:0.313308:0.136879:0.000000:0.000000:0.000000:0.000000:0.000000
Fx:@0.376754:0.153240:0.400083:0.153240:0.400083:0.136879:0.376754:0.136879:0.000000:0.000000
Fb:@0.435335:0.153240:0.459052:0.153240:0.459052:0.136879:0.435335:0.136879:0.000000:0.000000
Fa:@0.480096:0.153240:0.504070:0.153240:0.504070:0.136879:0.480096:0.136879:0.000000:0.000000
a:@0.303256:0.159290:0.308628:0.159290:0.308628:0.149808:0.303256:0.149808:0.000000
b:@0.305819:0.141335:0.311191:0.141335:0.311191:0.131853:0.305819:0.131853:0.000000
a:@0.410255:0.156973:0.415627:0.156973:0.415627:0.147491:0.410255:0.147491:0.000000
b:@0.410106:0.143692:0.415478:0.143692:0.415478:0.134209:0.410106:0.134209:0.000000
():@0.320533:0.153240:0.341338:0.153240:0.341338:0.136851:0.320533:0.136851:0.000000:0.000000
():@0.385969:0.153240:0.406774:0.153240:0.406774:0.136851:0.385969:0.136851:0.000000:0.000000
():@0.444551:0.153240:0.464508:0.153240:0.464508:0.136851:0.444551:0.136851:0.000000:0.000000
() .:@0.489313:0.153240:0.515749:0.153295:0.515749:0.136906:0.489313:0.136851:0.000000:0.000000:0.000000:0.000000
∫:@0.296451:0.159296:0.304025:0.159296:0.304025:0.133883:0.296451:0.133883:0.000000
=:@0.363094:0.152825:0.373211:0.152825:0.373211:0.135883:0.363094:0.135883:0.000000
=:@0.421675:0.152825:0.431792:0.152825:0.431792:0.135883:0.421675:0.135883:0.000000
−:@0.467265:0.152825:0.477382:0.152825:0.477382:0.135883:0.467265:0.135883:0.000000
 Signica que, para calcular el área bajo la curva, basta con evaluar la antiderivada en :@0.096335:0.175244:0.716424:0.175244:0.716424:0.158855:0.096335:0.158855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.140744:0.175244:0.144780:0.175244:0.144780:0.158855:0.140744:0.158855:0.000000
los extremos del intervalo y restar.:@0.096335:0.191840:0.344348:0.191840:0.344348:0.175451:0.096335:0.175451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.940789:0.560365:0.940789:0.517540:0.928878:0.517540:0.928878:0.560365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000