﻿194:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
Cálculo de áreas de regiones planas. :@0.404235:0.117815:0.856801:0.117815:0.856801:0.073156:0.404235:0.073156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Integrales de funciones polinomiales:@0.404235:0.155534:0.851172:0.155534:0.851172:0.110875:0.404235:0.110875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.68. Aplicar el segundo teorema del cálculo diferencial e integral para el cálculo de la integral definida de una función polinomial de grado ≤ 4 (primitiva). :@0.148948:0.941048:0.833787:0.941048:0.833787:0.931006:0.148948:0.931006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.69. Resolver y plantear aplicaciones geométricas (cálculo de áreas) y físicas (velocidad media, espacio recorrido) de la integral definida, e interpretar y juzgar la validez :@0.148948:0.949849:0.888427:0.949849:0.888427:0.939807:0.148948:0.939807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las soluciones obtenidas.:@0.148948:0.958650:0.268628:0.958650:0.268628:0.948608:0.148948:0.948608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.115710:0.307805:0.115710:0.307805:0.100238:0.199646:0.100238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué noción tienes de :@0.199884:0.144338:0.349501:0.144338:0.349501:0.129274:0.199884:0.129274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
área?:@0.153341:0.160180:0.185038:0.160180:0.185038:0.145116:0.153341:0.145116:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.207711:0.363493:0.207711:0.363493:0.192238:0.199646:0.192238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo puedes calcular :@0.199884:0.236338:0.354482:0.236338:0.354482:0.221275:0.199884:0.221275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el volumen de un sólido con la :@0.153341:0.252180:0.357029:0.252180:0.357029:0.237117:0.153341:0.237117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicación de integrales?:@0.153341:0.268022:0.309890:0.268022:0.309890:0.252959:0.153341:0.252959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.404236:0.181532:0.432498:0.181532:0.432498:0.165035:0.404236:0.165035:0.000000:0.000000:0.000000:0.000000
b :@0.433982:0.181648:0.447390:0.181648:0.447390:0.165179:0.433982:0.165179:0.000000:0.000000
:@0.448875:0.181014:0.463527:0.181014:0.463527:0.167640:0.448875:0.167640:0.000000
 :@0.463528:0.181532:0.467670:0.181532:0.467670:0.165035:0.463528:0.165035:0.000000
:@0.469153:0.180445:0.482458:0.180445:0.482458:0.167583:0.469153:0.167583:0.000000
+:@0.482458:0.175181:0.488759:0.175181:0.488759:0.165562:0.482458:0.165562:0.000000
. En lo que sigue, las funciones reales que consideremos :@0.488759:0.181532:0.895903:0.181532:0.895903:0.165035:0.488759:0.165035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
están definidas en el intervalo [0,  ].:@0.404242:0.198883:0.658405:0.198883:0.658405:0.182385:0.404242:0.182385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.640527:0.198999:0.649793:0.198999:0.649793:0.182530:0.640527:0.182530:0.000000
i):@0.404242:0.230779:0.414780:0.230779:0.414780:0.214065:0.404242:0.214065:0.000000:0.000000
  Área de una región rectangular. Sean   > 0,   > 0, :@0.414780:0.230563:0.776888:0.230563:0.776888:0.214065:0.414780:0.214065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.691466:0.230678:0.700732:0.230678:0.700732:0.214210:0.691466:0.214210:0.000000
c:@0.735217:0.230678:0.742403:0.230678:0.742403:0.214210:0.735217:0.214210:0.000000
 :@0.404242:0.247913:0.408384:0.247913:0.408384:0.231416:0.404242:0.231416:0.000000
S:@0.529004:0.248029:0.536883:0.248029:0.536883:0.231560:0.529004:0.231560:0.000000
 = {( ,  )     | 0 ≤   ≤  , 0 ≤   ≤  }. :@0.536883:0.247913:0.794900:0.247918:0.794900:0.231420:0.536883:0.231416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.567785:0.248029:0.589844:0.248029:0.589844:0.231560:0.567785:0.231560:0.000000:0.000000:0.000000
:@0.599929:0.247399:0.614582:0.247399:0.614582:0.234026:0.599929:0.234026:0.000000
:@0.618724:0.246831:0.632029:0.246831:0.632029:0.233969:0.618724:0.233969:0.000000
2:@0.632029:0.241566:0.636982:0.241566:0.636982:0.231948:0.632029:0.231948:0.000000
x b:@0.677863:0.248033:0.713697:0.248033:0.713697:0.231565:0.677863:0.231565:0.000000:0.000000:0.000000
y c:@0.748181:0.248033:0.782146:0.248033:0.782146:0.231565:0.748181:0.231565:0.000000:0.000000:0.000000
 :@0.404239:0.279597:0.408381:0.279597:0.408381:0.263100:0.404239:0.263100:0.000000
En la Figura 6.4., se muestran el intervalo [0,  ], el segmento de recta :@0.427973:0.279597:0.895944:0.279597:0.895944:0.263100:0.427973:0.263100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.726257:0.279713:0.735524:0.279713:0.735524:0.263244:0.726257:0.263244:0.000000
de ecuación cartesiana   =  , así como la región rectangular  .:@0.427973:0.296948:0.856741:0.296948:0.856741:0.280450:0.427973:0.280450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y c:@0.591304:0.297064:0.624884:0.297064:0.624884:0.280595:0.591304:0.280595:0.000000:0.000000:0.000000
S:@0.846203:0.297064:0.854082:0.297064:0.854082:0.280595:0.846203:0.280595:0.000000
 :@0.404239:0.328628:0.408381:0.328628:0.408381:0.312130:0.404239:0.312130:0.000000
El número real positivo   es la base y el número real positivo   es la :@0.427973:0.328628:0.895907:0.328628:0.895907:0.312130:0.427973:0.312130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.591056:0.328743:0.600322:0.328743:0.600322:0.312275:0.591056:0.312275:0.000000
c:@0.850075:0.328743:0.857261:0.328743:0.857261:0.312275:0.850075:0.312275:0.000000
altura, de la geometría elemental, se sabe que área de   = :@0.427993:0.345978:0.806382:0.345978:0.806382:0.329481:0.427993:0.329481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S base altura:@0.781181:0.346094:0.889415:0.346094:0.889415:0.329625:0.781181:0.329625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x :@0.835723:0.345978:0.850672:0.345978:0.850672:0.329481:0.835723:0.329481:0.000000:0.000000:0.000000
.:@0.889010:0.345978:0.891765:0.345978:0.891765:0.329481:0.889010:0.329481:0.000000
Escribimos ( ) =  . Sea   la función real definida como :@0.427973:0.377658:0.831423:0.377658:0.831423:0.361160:0.427973:0.361160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A S:@0.508907:0.377774:0.534009:0.377774:0.534009:0.361305:0.508907:0.361305:0.000000:0.000000:0.000000
bc:@0.559054:0.377774:0.575642:0.377774:0.575642:0.361305:0.559054:0.361305:0.000000:0.000000
f:@0.610801:0.377774:0.615097:0.377774:0.615097:0.361305:0.610801:0.361305:0.000000
 :@0.404239:0.395009:0.408381:0.395009:0.408381:0.378511:0.404239:0.378511:0.000000
f x:@0.427973:0.395124:0.445698:0.395124:0.445698:0.378656:0.427973:0.378656:0.000000:0.000000:0.000000
( ) =  ,       0,  ]. Resulta que   es una función escalonada,:@0.432270:0.395009:0.858180:0.395023:0.858180:0.378526:0.432270:0.378511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.470742:0.395124:0.477928:0.395124:0.477928:0.378656:0.470742:0.378656:0.000000
∀:@0.493114:0.402610:0.504687:0.402610:0.504687:0.383611:0.493114:0.383611:0.000000
x:@0.504694:0.395139:0.512169:0.395139:0.512169:0.378670:0.504694:0.378670:0.000000
:@0.516310:0.394505:0.530962:0.394505:0.530962:0.381131:0.516310:0.381131:0.000000
b:@0.550209:0.395139:0.559476:0.395139:0.559476:0.378670:0.550209:0.378670:0.000000
f:@0.658827:0.395139:0.663123:0.395139:0.663123:0.378670:0.658827:0.378670:0.000000
 :@0.546703:0.419502:0.550845:0.419502:0.550845:0.403005:0.546703:0.403005:0.000000
    ( ) ≥ 0,       0,  ],:@0.570438:0.419502:0.724092:0.419502:0.724092:0.403004:0.570438:0.403005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.582864:0.419618:0.600588:0.419618:0.600588:0.403149:0.582864:0.403149:0.000000:0.000000:0.000000
∀:@0.649310:0.427088:0.660883:0.427088:0.660883:0.408089:0.649310:0.408089:0.000000
x:@0.660891:0.419617:0.668366:0.419617:0.668366:0.403149:0.660891:0.403149:0.000000
:@0.672507:0.418983:0.687160:0.418983:0.687160:0.405610:0.672507:0.405610:0.000000
b:@0.706407:0.419617:0.715673:0.419617:0.715673:0.403149:0.706407:0.403149:0.000000
 :@0.546698:0.443981:0.550840:0.443981:0.550840:0.427483:0.546698:0.427483:0.000000
      :@0.570433:0.443981:0.595285:0.443981:0.595285:0.427483:0.570433:0.427483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cdx bc:@0.595285:0.444096:0.654641:0.444096:0.654641:0.427628:0.595285:0.427628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =  .:@0.618962:0.443981:0.657396:0.443981:0.657396:0.427483:0.618962:0.427483:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404231:0.478682:0.408373:0.478682:0.408373:0.462184:0.404231:0.462184:0.000000
Se escribe    :@0.427966:0.478682:0.514927:0.478682:0.514927:0.462184:0.427966:0.462184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cdx cx:@0.514927:0.478798:0.572359:0.478798:0.572359:0.462329:0.514927:0.462329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 =   |   =  , es decir,  ( ) =   =    :@0.538606:0.478682:0.787687:0.478682:0.787687:0.462184:0.538606:0.462184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cb:@0.608886:0.478798:0.625107:0.478798:0.625107:0.462329:0.608886:0.462329:0.000000:0.000000
a S:@0.691725:0.478798:0.714535:0.478798:0.714535:0.462329:0.691725:0.462329:0.000000:0.000000:0.000000
bc:@0.739580:0.478798:0.756167:0.478798:0.756167:0.462329:0.739580:0.462329:0.000000:0.000000
cdx.:@0.787687:0.478798:0.814329:0.478798:0.814329:0.462329:0.787687:0.462329:0.000000:0.000000:0.000000:0.000000
 :@0.404231:0.513384:0.408373:0.513384:0.408373:0.496886:0.404231:0.496886:0.000000
F x:@0.427966:0.513499:0.448946:0.513499:0.448946:0.497031:0.427966:0.497031:0.000000:0.000000:0.000000
( ) =   +  ,       [0,  ], es la integral indefinida o primitiva de  . :@0.435518:0.513384:0.895855:0.513383:0.895855:0.496885:0.435518:0.496886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cx k:@0.473798:0.513499:0.515604:0.513499:0.515604:0.497031:0.473798:0.497031:0.000000:0.000000:0.000000:0.000000
∀:@0.530564:0.520969:0.542137:0.520969:0.542137:0.501970:0.530564:0.501970:0.000000
x:@0.542145:0.513499:0.549620:0.513499:0.549620:0.497030:0.542145:0.497030:0.000000
:@0.553674:0.512864:0.568327:0.512864:0.568327:0.499491:0.553674:0.499491:0.000000
b:@0.593255:0.513499:0.602522:0.513499:0.602522:0.497030:0.593255:0.497030:0.000000
f:@0.884661:0.513499:0.888958:0.513499:0.888958:0.497030:0.884661:0.497030:0.000000
Entonces,  ( ) –  (0) =   +   – (  × 0 +  ) =   =   |  .:@0.427979:0.530734:0.820662:0.530734:0.820662:0.514236:0.427979:0.514236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F b:@0.500125:0.530849:0.522896:0.530849:0.522896:0.514381:0.500125:0.514381:0.000000:0.000000:0.000000
F:@0.547633:0.530849:0.555185:0.530849:0.555185:0.514381:0.547633:0.514381:0.000000
cb k:@0.594679:0.530849:0.638240:0.530849:0.638240:0.514381:0.594679:0.514381:0.000000:0.000000:0.000000:0.000000
c:@0.662976:0.530849:0.670162:0.530849:0.670162:0.514381:0.662976:0.514381:0.000000
k:@0.716842:0.530849:0.725087:0.530849:0.725087:0.514381:0.716842:0.514381:0.000000
bc cx:@0.750132:0.530849:0.800472:0.530849:0.800472:0.514381:0.750132:0.514381:0.000000:0.000000:0.000000:0.000000:0.000000
ii):@0.404244:0.563382:0.419039:0.563382:0.419039:0.546668:0.404244:0.546668:0.000000:0.000000:0.000000
  Integral definida de una función lineal restringida a [0,  ].:@0.419039:0.563165:0.830659:0.563165:0.830659:0.546668:0.419039:0.546668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.812781:0.563281:0.822047:0.563281:0.822047:0.546812:0.812781:0.546812:0.000000
Sea    :@0.427979:0.580516:0.489408:0.580523:0.489408:0.564025:0.427979:0.564018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.456241:0.588109:0.466468:0.588109:0.466468:0.569110:0.456241:0.569110:0.000000
:@0.470614:0.580004:0.485267:0.580004:0.485267:0.566631:0.470614:0.566631:0.000000
:@0.489409:0.579436:0.502713:0.579436:0.502713:0.566574:0.489409:0.566574:0.000000
+:@0.502712:0.574171:0.509013:0.574171:0.509013:0.564553:0.502712:0.564553:0.000000
 con   > 0. La función definida como :@0.509014:0.580523:0.776547:0.580523:0.776547:0.564025:0.509014:0.564025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.544249:0.588109:0.554477:0.588109:0.554477:0.569110:0.544249:0.569110:0.000000
 :@0.404230:0.597874:0.408372:0.597874:0.408372:0.581376:0.404230:0.581376:0.000000
f x:@0.427965:0.597989:0.445689:0.597989:0.445689:0.581521:0.427965:0.581521:0.000000:0.000000:0.000000
( ) =  ,       [0,  ] se llama función lineal restringida al intervalo :@0.432261:0.597874:0.895943:0.597874:0.895943:0.581376:0.432261:0.581376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.469162:0.605460:0.479389:0.605460:0.479389:0.586461:0.469162:0.586461:0.000000
x:@0.479392:0.597989:0.486867:0.597989:0.486867:0.581521:0.479392:0.581521:0.000000
∀:@0.499572:0.605460:0.511145:0.605460:0.511145:0.586461:0.499572:0.586461:0.000000
x:@0.511152:0.597989:0.518627:0.597989:0.518627:0.581521:0.511152:0.581521:0.000000
:@0.521975:0.597355:0.536628:0.597355:0.536628:0.583982:0.521975:0.583982:0.000000
b:@0.560152:0.597989:0.569418:0.597989:0.569418:0.581521:0.560152:0.581521:0.000000
[0, ]. Consideramos     :@0.427973:0.622353:0.607578:0.622352:0.607578:0.605854:0.427973:0.605855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.449222:0.622468:0.458489:0.622468:0.458489:0.606000:0.449222:0.606000:0.000000
c:@0.577452:0.622468:0.584638:0.622468:0.584638:0.606000:0.577452:0.606000:0.000000
:@0.588784:0.621833:0.603436:0.621833:0.603436:0.608460:0.588784:0.608460:0.000000
:@0.607577:0.621265:0.620882:0.621265:0.620882:0.608403:0.607577:0.608403:0.000000
+:@0.620882:0.616000:0.627182:0.616000:0.627182:0.606382:0.620882:0.606382:0.000000
    =     ,  y el conjunto::@0.627182:0.622352:0.788318:0.622352:0.788318:0.605854:0.627182:0.605854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.635466:0.629938:0.645694:0.629938:0.645694:0.610939:0.635466:0.610939:0.000000
 :@0.404226:0.653959:0.408368:0.653959:0.408368:0.637462:0.404226:0.637462:0.000000
S:@0.527350:0.654075:0.535230:0.654075:0.535230:0.637606:0.527350:0.637606:0.000000
 =   ( ,  ) | 0 ≤   ≤ :@0.535230:0.653959:0.664230:0.653959:0.664230:0.637462:0.535230:0.637462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.568559:0.654075:0.590617:0.654075:0.590617:0.637606:0.568559:0.637606:0.000000:0.000000:0.000000
y     x:@0.637451:0.654075:0.688273:0.654075:0.688273:0.637606:0.637451:0.637606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,       [0,  ]  .:@0.688273:0.653959:0.792387:0.653959:0.792387:0.637462:0.688273:0.637462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.703464:0.661546:0.715037:0.661546:0.715037:0.642547:0.703464:0.642547:0.000000
x:@0.715045:0.654075:0.722520:0.654075:0.722520:0.637606:0.715045:0.637606:0.000000
:@0.726661:0.653441:0.741314:0.653441:0.741314:0.640067:0.726661:0.640067:0.000000
b:@0.766417:0.654075:0.775684:0.654075:0.775684:0.637606:0.766417:0.637606:0.000000
Como  > 0,   > 0 y     [0,  ], resulta que  ( ) ≥ 0,       [0,  ].:@0.427965:0.687157:0.875026:0.687152:0.875026:0.670654:0.427965:0.670659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.477111:0.687273:0.486377:0.687273:0.486377:0.670804:0.477111:0.670804:0.000000
c:@0.520862:0.687273:0.528048:0.687273:0.528048:0.670804:0.520862:0.670804:0.000000
x:@0.571742:0.687273:0.579217:0.687273:0.579217:0.670804:0.571742:0.670804:0.000000
:@0.583370:0.686633:0.598022:0.686633:0.598022:0.673260:0.583370:0.673260:0.000000
b:@0.623414:0.687268:0.632681:0.687268:0.632681:0.670799:0.623414:0.670799:0.000000
f x:@0.727948:0.687268:0.745672:0.687268:0.745672:0.670799:0.727948:0.670799:0.000000:0.000000:0.000000
∀:@0.794389:0.694739:0.805962:0.694739:0.805962:0.675739:0.794389:0.675739:0.000000
x:@0.805969:0.687268:0.813444:0.687268:0.813444:0.670799:0.805969:0.670799:0.000000
:@0.817586:0.686633:0.832239:0.686633:0.832239:0.673260:0.817586:0.673260:0.000000
b:@0.857341:0.687268:0.866607:0.687268:0.866607:0.670799:0.857341:0.670799:0.000000
 :@0.404241:0.704503:0.408383:0.704503:0.408383:0.688005:0.404241:0.688005:0.000000
En la Figura 6.5. se muestran el intervalo [0,  ], el segmento de recta:@0.427976:0.704503:0.891747:0.704503:0.891747:0.688005:0.427976:0.688005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.725335:0.704619:0.734602:0.704619:0.734602:0.688150:0.725335:0.688150:0.000000
 :@0.404222:0.728982:0.408364:0.728982:0.408364:0.712484:0.404222:0.712484:0.000000
de ecuación cartesiana   =      ,  así como la región triangular  .:@0.427957:0.728982:0.871073:0.728982:0.871073:0.712484:0.427957:0.712484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.593501:0.729098:0.601188:0.729098:0.601188:0.712629:0.593501:0.712629:0.000000
x:@0.636848:0.729098:0.644323:0.729098:0.644323:0.712629:0.636848:0.712629:0.000000
S:@0.860439:0.729098:0.868318:0.729098:0.868318:0.712629:0.860439:0.712629:0.000000
 :@0.404222:0.761413:0.408364:0.761413:0.408364:0.744916:0.404222:0.744916:0.000000
Al número real positivo   se le llama base del triángulo rectángulo :@0.427957:0.761413:0.895893:0.761413:0.895893:0.744916:0.427957:0.744916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.597395:0.761529:0.606661:0.761529:0.606661:0.745060:0.597395:0.745060:0.000000
y al número real positivo   se le llama altura del triángulo, de modo:@0.427957:0.778764:0.891785:0.778764:0.891785:0.762266:0.427957:0.762266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.602864:0.778880:0.610050:0.778880:0.610050:0.762411:0.602864:0.762411:0.000000
 :@0.404222:0.803243:0.408364:0.803243:0.408364:0.786745:0.404222:0.786745:0.000000
que el área de la región triangular es       , lo cual se escribe::@0.427957:0.803243:0.851789:0.803243:0.851789:0.786745:0.427957:0.786745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bc:@0.706282:0.803359:0.722869:0.803359:0.722869:0.786890:0.706282:0.786890:0.000000:0.000000
 :@0.404222:0.827722:0.408364:0.827722:0.408364:0.811224:0.404222:0.811224:0.000000
a S:@0.427957:0.827838:0.450767:0.827838:0.450767:0.811369:0.427957:0.811369:0.000000:0.000000:0.000000
( ) =       .:@0.436934:0.827722:0.515864:0.827722:0.515864:0.811224:0.436934:0.811224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bc:@0.496522:0.827838:0.513109:0.827838:0.513109:0.811369:0.496522:0.811369:0.000000:0.000000
 :@0.404222:0.852201:0.408364:0.852201:0.408364:0.835703:0.404222:0.835703:0.000000
Calculemos la :@0.427957:0.852201:0.530774:0.852201:0.530774:0.835703:0.427957:0.835703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral de Riemann:@0.530774:0.852418:0.679442:0.852418:0.679442:0.835703:0.530774:0.835703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de  .:@0.679442:0.852201:0.712634:0.852201:0.712634:0.835703:0.679442:0.835703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.705583:0.852317:0.709879:0.852317:0.709879:0.835848:0.705583:0.835848:0.000000
Sea:@0.427957:0.876680:0.452077:0.876680:0.452077:0.860182:0.427957:0.860182:0.000000:0.000000:0.000000
n :@0.456219:0.876796:0.469724:0.876796:0.469724:0.860327:0.456219:0.860327:0.000000:0.000000
:@0.469746:0.876167:0.484399:0.876167:0.484399:0.862793:0.469746:0.862793:0.000000
  ,   =     ,   = :@0.484398:0.876685:0.594799:0.876685:0.594799:0.860188:0.484398:0.860188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Z:@0.488541:0.875598:0.500832:0.875598:0.500832:0.862736:0.488541:0.862736:0.000000
+:@0.500831:0.870333:0.507131:0.870333:0.507131:0.860715:0.500831:0.860715:0.000000
h:@0.514030:0.876801:0.523431:0.876801:0.523431:0.860332:0.514030:0.860332:0.000000
x:@0.565988:0.876801:0.573463:0.876801:0.573463:0.860332:0.565988:0.860332:0.000000
j:@0.573461:0.880031:0.575707:0.880031:0.575707:0.870429:0.573461:0.870429:0.000000
jh,  j:@0.594799:0.876801:0.622618:0.876801:0.622618:0.860332:0.594799:0.860332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = 0, 1, …,  .:@0.622618:0.876685:0.706557:0.876685:0.706557:0.860188:0.622618:0.860188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.694439:0.876801:0.703802:0.876801:0.703802:0.860332:0.694439:0.860332:0.000000
   Se define la sucesión de funciones escalonadas ( ) como sigue::@0.404227:0.901164:0.878476:0.901165:0.878476:0.884667:0.404227:0.884667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.769163:0.901280:0.778429:0.901280:0.778429:0.884811:0.769163:0.884811:0.000000
n:@0.778388:0.904509:0.783846:0.904509:0.783846:0.894908:0.778388:0.894908:0.000000
  :@0.404243:0.918516:0.412527:0.918516:0.412527:0.902018:0.404243:0.902018:0.000000:0.000000
p x:@0.427978:0.918631:0.456074:0.918631:0.456074:0.902162:0.427978:0.902162:0.000000:0.000000:0.000000
n:@0.437188:0.921860:0.442647:0.921860:0.442647:0.912259:0.437188:0.912259:0.000000
( ) =  (:@0.442646:0.918515:0.491368:0.918515:0.491368:0.902018:0.442646:0.902018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.481119:0.918631:0.498843:0.918631:0.498843:0.902162:0.481119:0.902162:0.000000:0.000000:0.000000
j–1:@0.498842:0.921792:0.512140:0.921792:0.512140:0.912174:0.498842:0.912174:0.000000:0.000000:0.000000
) = :@0.512140:0.918515:0.537185:0.918515:0.537185:0.902018:0.512140:0.902018:0.000000:0.000000:0.000000:0.000000
β:@0.537185:0.926102:0.547412:0.926102:0.547412:0.907103:0.537185:0.907103:0.000000
x:@0.547416:0.918631:0.554890:0.918631:0.554890:0.902162:0.547416:0.902162:0.000000
j:@0.554889:0.921860:0.557135:0.921860:0.557135:0.912259:0.554889:0.912259:0.000000
–1:@0.557697:0.921792:0.568771:0.921792:0.568771:0.912174:0.557697:0.912174:0.000000:0.000000
 =  (  – 1) ,   = 1, …,  .:@0.568772:0.918515:0.729829:0.918515:0.729829:0.902018:0.568772:0.902018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
β:@0.587863:0.926102:0.598090:0.926102:0.598090:0.907103:0.587863:0.907103:0.000000
j:@0.604046:0.918631:0.607899:0.918631:0.607899:0.902162:0.604046:0.902162:0.000000
h j:@0.641132:0.918631:0.661283:0.918631:0.661283:0.902162:0.641132:0.902162:0.000000:0.000000:0.000000
n:@0.717711:0.918631:0.727074:0.918631:0.727074:0.902162:0.717711:0.902162:0.000000
∫:@0.581514:0.448393:0.588537:0.448393:0.590977:0.422209:0.583954:0.422209:0.000000
b:@0.592299:0.429007:0.597701:0.429007:0.597701:0.419405:0.592299:0.419405:0.000000
0:@0.587312:0.450620:0.592265:0.450620:0.592265:0.441002:0.587312:0.441002:0.000000
∫:@0.504098:0.482775:0.511121:0.482775:0.513560:0.456591:0.506538:0.456591:0.000000
b:@0.514881:0.463390:0.520283:0.463390:0.520283:0.453789:0.514881:0.453789:0.000000
0:@0.509894:0.485003:0.514847:0.485003:0.514847:0.475385:0.509894:0.475385:0.000000
∫:@0.778362:0.482775:0.785385:0.482775:0.787824:0.456591:0.780801:0.456591:0.000000
b:@0.789146:0.463390:0.794548:0.463390:0.794548:0.453789:0.789146:0.453789:0.000000
0:@0.784159:0.485003:0.789112:0.485003:0.789112:0.475385:0.784159:0.475385:0.000000
b:@0.585000:0.471390:0.590402:0.471390:0.590402:0.461788:0.585000:0.461788:0.000000
0:@0.585224:0.480494:0.590177:0.480494:0.590177:0.470875:0.585224:0.470875:0.000000
b:@0.810868:0.522726:0.816270:0.522726:0.816270:0.513124:0.810868:0.513124:0.000000
0:@0.811093:0.531830:0.816046:0.531830:0.816046:0.522212:0.811093:0.522212:0.000000
c:@0.669762:0.614279:0.676948:0.614279:0.676948:0.597810:0.669762:0.597810:0.000000
b:@0.668721:0.630618:0.677988:0.630618:0.677988:0.614149:0.668721:0.614149:0.000000
c:@0.666961:0.645732:0.674147:0.645732:0.674147:0.629263:0.666961:0.629263:0.000000
b:@0.665920:0.662070:0.675187:0.662070:0.675187:0.645601:0.665920:0.645601:0.000000
c:@0.624371:0.721556:0.631557:0.721556:0.631557:0.705087:0.624371:0.705087:0.000000
b:@0.623331:0.737894:0.632597:0.737894:0.632597:0.721425:0.623331:0.721425:0.000000
b:@0.545479:0.868224:0.554746:0.868224:0.554746:0.851755:0.545479:0.851755:0.000000
n:@0.545421:0.884562:0.554784:0.884562:0.554784:0.868093:0.545421:0.868093:0.000000
1:@0.691977:0.795363:0.700473:0.795363:0.700473:0.778865:0.691977:0.778865:0.000000
2:@0.691977:0.811702:0.700473:0.811702:0.700473:0.795204:0.691977:0.795204:0.000000
1:@0.479724:0.819331:0.488220:0.819331:0.488220:0.802833:0.479724:0.802833:0.000000
2:@0.479724:0.835670:0.488220:0.835670:0.488220:0.819172:0.479724:0.819172:0.000000
p:@0.143847:0.501857:0.155327:0.501857:0.155327:0.491832:0.143847:0.491832:0.000000
 :@0.155327:0.502565:0.158209:0.502565:0.158209:0.491088:0.155327:0.491088:0.000000
Figura 6.4.:@0.158209:0.502565:0.206777:0.502565:0.206777:0.491088:0.158209:0.491088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.143847:0.867098:0.155327:0.867098:0.155327:0.857073:0.143847:0.857073:0.000000
 :@0.155327:0.867805:0.158209:0.867805:0.158209:0.856329:0.155327:0.856329:0.000000
Figura 6.5.:@0.158209:0.867805:0.206777:0.867805:0.206777:0.856329:0.158209:0.856329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.174725:0.419107:0.180937:0.419107:0.180937:0.406196:0.174725:0.406196:0.000000
b:@0.322285:0.481129:0.329703:0.481129:0.329703:0.468218:0.322285:0.468218:0.000000
0:@0.176968:0.481796:0.183987:0.481796:0.183987:0.468167:0.176968:0.468167:0.000000
x:@0.351776:0.483193:0.358381:0.483193:0.358381:0.469565:0.351776:0.469565:0.000000
y:@0.174008:0.392309:0.180469:0.392309:0.180469:0.378680:0.174008:0.378680:0.000000
S:@0.253553:0.447985:0.259765:0.447985:0.259765:0.435074:0.253553:0.435074:0.000000
y c:@0.243874:0.411005:0.270455:0.411005:0.270455:0.398117:0.243874:0.398117:0.000000:0.000000:0.000000
 = :@0.249890:0.410915:0.264831:0.410915:0.264831:0.398004:0.249890:0.398004:0.000000:0.000000:0.000000
c:@0.173314:0.784453:0.179526:0.784453:0.179526:0.771541:0.173314:0.771541:0.000000
b:@0.320875:0.846474:0.328293:0.846474:0.328293:0.833563:0.320875:0.833563:0.000000
0:@0.175558:0.847141:0.182576:0.847141:0.182576:0.833513:0.175558:0.833513:0.000000
x:@0.350365:0.848539:0.356970:0.848539:0.356970:0.834910:0.350365:0.834910:0.000000
y:@0.172597:0.757654:0.179059:0.757654:0.179059:0.744025:0.172597:0.744025:0.000000
S:@0.284622:0.820603:0.290834:0.820603:0.290834:0.807691:0.284622:0.807691:0.000000
y:@0.211483:0.805541:0.217499:0.805541:0.217499:0.792653:0.211483:0.792653:0.000000
 =     :@0.217499:0.805451:0.245407:0.805451:0.245407:0.792540:0.217499:0.792540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.245407:0.805541:0.251257:0.805541:0.251257:0.792653:0.245407:0.792653:0.000000
c:@0.235459:0.799509:0.241093:0.799509:0.241093:0.786597:0.235459:0.786597:0.000000
b:@0.234643:0.812320:0.241909:0.812320:0.241909:0.799407:0.234643:0.799407:0.000000
Glosario:@0.199644:0.581665:0.267109:0.581665:0.267109:0.563982:0.199644:0.563982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recorrido: :@0.199880:0.608478:0.269449:0.608478:0.269449:0.593217:0.199880:0.593217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
espacio que :@0.269449:0.608280:0.350256:0.608280:0.350256:0.593217:0.269449:0.593217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ha recorrido, recorre o ha de :@0.153337:0.624122:0.340740:0.624122:0.340740:0.609059:0.153337:0.609059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recorrer alguien o algo.:@0.153337:0.639964:0.299719:0.639964:0.299719:0.624901:0.153337:0.624901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión: :@0.153337:0.663133:0.217891:0.663133:0.217891:0.647872:0.153337:0.647872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto ordenado :@0.217891:0.662935:0.348532:0.662935:0.348532:0.647872:0.217891:0.647872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de términos que cumplen una :@0.153337:0.678777:0.354001:0.678777:0.354001:0.663714:0.153337:0.663714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ley determinada.:@0.153337:0.694619:0.261180:0.694619:0.261180:0.679556:0.153337:0.679556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.146908:0.585398:0.158313:0.583889:0.153110:0.561744:0.141706:0.563253:0.000000
c:@0.150290:0.596367:0.160889:0.594965:0.155807:0.573330:0.145207:0.574733:0.000000
b:@0.160665:0.589150:0.173379:0.587467:0.168247:0.565625:0.155534:0.567307:0.000000