216:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Integración:@0.073089:0.043661:0.176062:0.043661:0.176062:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.293660:0.299772:0.323380:0.299772:0.323380:0.284060:0.293660:0.284060:0.000000:0.000000:0.000000:0.000000
b :@0.322946:0.299772:0.335445:0.299772:0.335445:0.284337:0.322946:0.284337:0.000000:0.000000
[:@0.335110:0.299482:0.349746:0.299482:0.349746:0.286072:0.335110:0.286072:0.000000
 :@0.349658:0.299772:0.353690:0.299772:0.353690:0.284060:0.349658:0.284060:0.000000
R:@0.353266:0.298913:0.366556:0.298913:0.366556:0.286015:0.353266:0.286015:0.000000
1:@0.366469:0.293385:0.375408:0.293385:0.375408:0.285389:0.366469:0.285389:0.000000
. En lo que sigue, las funciones reales que consideremos están definidas en el :@0.375355:0.299772:0.931298:0.299772:0.931298:0.284060:0.375355:0.284060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo [0,  ].:@0.293663:0.318051:0.399432:0.318051:0.399432:0.302338:0.293663:0.302338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.382239:0.318051:0.391498:0.318051:0.391498:0.302615:0.382239:0.302615:0.000000
i. :@0.325203:0.352416:0.336137:0.352416:0.336137:0.336703:0.325203:0.336703:0.000000:0.000000:0.000000
Área de una región rectangular. Sean     0,     0, :@0.355405:0.352416:0.721654:0.352416:0.721654:0.336703:0.355405:0.336703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.626470:0.352416:0.635729:0.352416:0.635729:0.336981:0.626470:0.336981:0.000000
.:@0.639613:0.351861:0.654946:0.351861:0.654946:0.338146:0.639613:0.338146:0.000000
c:@0.674771:0.352416:0.682428:0.352416:0.682428:0.336981:0.674771:0.336981:0.000000
.:@0.686312:0.351861:0.701645:0.351861:0.701645:0.338146:0.686312:0.338146:0.000000
S:@0.471794:0.386781:0.479856:0.386781:0.479856:0.371346:0.471794:0.371346:0.000000
   {( ,  )     | 0        , 0        }. :@0.479783:0.386781:0.752819:0.386779:0.752819:0.371066:0.479783:0.371069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.483740:0.386227:0.499073:0.386227:0.499073:0.372511:0.483740:0.372511:0.000000
x y:@0.512529:0.386781:0.534452:0.386781:0.534452:0.371346:0.512529:0.371346:0.000000:0.000000:0.000000
[:@0.543144:0.386489:0.557780:0.386489:0.557780:0.373079:0.543144:0.373079:0.000000
R:@0.561650:0.385919:0.574940:0.385919:0.574940:0.373022:0.561650:0.373022:0.000000
2:@0.574841:0.380715:0.580078:0.380715:0.580078:0.371555:0.574841:0.371555:0.000000
# #:@0.604604:0.386224:0.650475:0.386224:0.650475:0.372509:0.604604:0.372509:0.000000:0.000000:0.000000
x:@0.623803:0.386779:0.631258:0.386779:0.631258:0.371344:0.623803:0.371344:0.000000
b:@0.654340:0.386779:0.663599:0.386779:0.663599:0.371344:0.654340:0.371344:0.000000
# #:@0.683442:0.386224:0.729331:0.386224:0.729331:0.372509:0.683442:0.372509:0.000000:0.000000:0.000000
y:@0.702641:0.386779:0.710114:0.386779:0.710114:0.371344:0.702641:0.371344:0.000000
c:@0.733197:0.386779:0.740854:0.386779:0.740854:0.371344:0.733197:0.371344:0.000000
En la Figura 2.1. se muestran el intervalo [0,  ], el segmento de recta de ecuación :@0.355333:0.421144:0.931121:0.421144:0.931121:0.405432:0.355333:0.405432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.663010:0.421144:0.672269:0.421144:0.672269:0.405709:0.663010:0.405709:0.000000
cartesiana      , así como la región rectangular  .:@0.355333:0.439423:0.707887:0.439423:0.707887:0.423710:0.355333:0.423710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.431741:0.439423:0.439215:0.439423:0.439215:0.423987:0.431741:0.423987:0.000000
5:@0.442915:0.438868:0.458248:0.438868:0.458248:0.425152:0.442915:0.425152:0.000000
c:@0.461929:0.439423:0.469587:0.439423:0.469587:0.423987:0.461929:0.423987:0.000000
S:@0.696787:0.439423:0.704850:0.439423:0.704850:0.423987:0.696787:0.423987:0.000000
El número real positivo   es la base y el número real positivo   es la altura. De la :@0.355333:0.473788:0.930825:0.473788:0.930825:0.458075:0.355333:0.458075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.524348:0.473788:0.533607:0.473788:0.533607:0.458353:0.524348:0.458353:0.000000
c:@0.794033:0.473788:0.801690:0.473788:0.801690:0.458353:0.794033:0.458353:0.000000
geometría elemental, se sabe que área de     :@0.355333:0.492066:0.676613:0.492066:0.676613:0.476354:0.355333:0.476354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.646499:0.492066:0.654561:0.492066:0.654561:0.476631:0.646499:0.476631:0.000000
5:@0.657709:0.491512:0.673042:0.491512:0.673042:0.477796:0.657709:0.477796:0.000000
base altura:@0.676171:0.492066:0.761441:0.492066:0.761441:0.476631:0.676171:0.476631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x :@0.707114:0.492066:0.722189:0.492066:0.722189:0.476354:0.707114:0.476354:0.000000:0.000000:0.000000
.:@0.761029:0.492066:0.764232:0.492066:0.764232:0.476354:0.761029:0.476354:0.000000
Escribimos  ( )    . Sea   la función real definida como :@0.355351:0.526432:0.765421:0.526432:0.765421:0.510719:0.355351:0.510719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A S:@0.437300:0.526432:0.459978:0.526432:0.459978:0.510996:0.437300:0.510996:0.000000:0.000000:0.000000
5:@0.468648:0.525877:0.483981:0.525877:0.483981:0.512161:0.468648:0.512161:0.000000
bc:@0.487847:0.526432:0.504689:0.526432:0.504689:0.510996:0.487847:0.510996:0.000000:0.000000
f:@0.541338:0.526432:0.546032:0.526432:0.546032:0.510996:0.541338:0.510996:0.000000
f x:@0.355351:0.560797:0.372231:0.560797:0.372231:0.545362:0.355351:0.545362:0.000000:0.000000:0.000000
( )    ,   :@0.359971:0.560797:0.422759:0.560797:0.422759:0.545084:0.359971:0.545084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.380900:0.560242:0.396234:0.560242:0.396234:0.546527:0.380900:0.546527:0.000000
c:@0.400099:0.560797:0.407757:0.560797:0.407757:0.545362:0.400099:0.545362:0.000000
;:@0.422648:0.560242:0.434926:0.560242:0.434926:0.546527:0.422648:0.546527:0.000000
x:@0.434834:0.560797:0.442289:0.560797:0.442289:0.545362:0.434834:0.545362:0.000000
   0,  ]. Resulta que   es una función escalonada,:@0.442215:0.560797:0.794548:0.560792:0.794548:0.545079:0.442215:0.545084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.446166:0.560502:0.460802:0.560502:0.460802:0.547092:0.446166:0.547092:0.000000
b:@0.480355:0.560792:0.489614:0.560792:0.489614:0.545357:0.480355:0.545357:0.000000
f:@0.589896:0.560792:0.594590:0.560792:0.594590:0.545357:0.589896:0.545357:0.000000
f x:@0.566188:0.591995:0.583067:0.591995:0.583067:0.576560:0.566188:0.576560:0.000000:0.000000:0.000000
( )   0,   :@0.570808:0.591995:0.634921:0.591995:0.634921:0.576283:0.570808:0.576283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
$:@0.591737:0.591441:0.607070:0.591441:0.607070:0.577725:0.591737:0.577725:0.000000
;:@0.634810:0.591441:0.647088:0.591441:0.647088:0.577725:0.634810:0.577725:0.000000
x:@0.646996:0.591995:0.654451:0.591995:0.654451:0.576560:0.646996:0.576560:0.000000
   0,  ],:@0.654377:0.591995:0.709560:0.591993:0.709560:0.576280:0.654377:0.576283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.658363:0.591703:0.672999:0.591703:0.672999:0.578293:0.658363:0.578293:0.000000
b:@0.692552:0.591993:0.701811:0.591993:0.701811:0.576558:0.692552:0.576558:0.000000
#:@0.566210:0.622725:0.572722:0.622725:0.572722:0.600256:0.566210:0.600256:0.000000
b:@0.574297:0.608090:0.580189:0.608090:0.580189:0.598268:0.574297:0.598268:0.000000
0:@0.574297:0.625741:0.580013:0.625741:0.580013:0.615742:0.574297:0.615742:0.000000
cdx:@0.584083:0.620995:0.608149:0.620995:0.608149:0.605560:0.584083:0.605560:0.000000:0.000000:0.000000
    .:@0.608086:0.620995:0.651233:0.620995:0.651233:0.605282:0.608086:0.605282:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.612044:0.620440:0.627377:0.620440:0.627377:0.606725:0.612044:0.606725:0.000000
bc:@0.631242:0.620995:0.648085:0.620995:0.648085:0.605560:0.631242:0.605560:0.000000:0.000000
Se escribe :@0.355324:0.661681:0.432694:0.661681:0.432694:0.645968:0.355324:0.645968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.432556:0.663410:0.439069:0.663410:0.439069:0.640941:0.432556:0.640941:0.000000
b:@0.440644:0.648776:0.446536:0.648776:0.446536:0.638953:0.440644:0.638953:0.000000
0:@0.440644:0.666426:0.446360:0.666426:0.446360:0.656427:0.440644:0.656427:0.000000
cdx:@0.450430:0.661681:0.474495:0.661681:0.474495:0.646245:0.450430:0.646245:0.000000:0.000000:0.000000
     :@0.474433:0.661681:0.516604:0.661681:0.516604:0.645968:0.474433:0.645968:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.478390:0.661126:0.493724:0.661126:0.493724:0.647410:0.478390:0.647410:0.000000
cx:@0.497589:0.661681:0.512628:0.661681:0.512628:0.646245:0.497589:0.646245:0.000000:0.000000
*:@0.516508:0.663367:0.520421:0.663367:0.520421:0.640898:0.516508:0.640898:0.000000
b:@0.520304:0.651147:0.526196:0.651147:0.526196:0.641325:0.520304:0.641325:0.000000
0:@0.520304:0.665011:0.526020:0.665011:0.526020:0.655013:0.520304:0.655013:0.000000
5:@0.526522:0.661126:0.541855:0.661126:0.541855:0.647410:0.526522:0.647410:0.000000
  , es decir,  ( )       :@0.541763:0.661681:0.721363:0.661681:0.721363:0.645968:0.541763:0.645968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cb:@0.545721:0.661681:0.562563:0.661681:0.562563:0.646245:0.545721:0.646245:0.000000:0.000000
a S:@0.631425:0.661681:0.653477:0.661681:0.653477:0.646245:0.631425:0.646245:0.000000:0.000000:0.000000
5:@0.662147:0.661126:0.677480:0.661126:0.677480:0.647410:0.662147:0.647410:0.000000
bc:@0.681345:0.661681:0.698188:0.661681:0.698188:0.646245:0.681345:0.646245:0.000000:0.000000
5:@0.702090:0.661126:0.717424:0.661126:0.717424:0.647410:0.702090:0.647410:0.000000
#:@0.721271:0.663410:0.727783:0.663410:0.727783:0.640941:0.721271:0.640941:0.000000
b:@0.729358:0.648776:0.735250:0.648776:0.735250:0.638953:0.729358:0.638953:0.000000
0:@0.729358:0.666426:0.735074:0.666426:0.735074:0.656427:0.729358:0.656427:0.000000
cdx.:@0.739144:0.661681:0.766468:0.661681:0.766468:0.646245:0.739144:0.646245:0.000000:0.000000:0.000000:0.000000
F x:@0.355334:0.696046:0.375803:0.696046:0.375803:0.680611:0.355334:0.680611:0.000000:0.000000:0.000000
( )        ,   :@0.363415:0.696046:0.469874:0.696046:0.469874:0.680333:0.363415:0.680333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.385467:0.695491:0.400800:0.695491:0.400800:0.681776:0.385467:0.681776:0.000000
cx:@0.405568:0.696046:0.420717:0.696046:0.420717:0.680611:0.405568:0.680611:0.000000:0.000000
1:@0.425466:0.695491:0.440799:0.695491:0.440799:0.681776:0.425466:0.681776:0.000000
k:@0.445567:0.696046:0.453132:0.696046:0.453132:0.680611:0.445567:0.680611:0.000000
;:@0.470545:0.695491:0.482823:0.695491:0.482823:0.681776:0.470545:0.681776:0.000000
x:@0.482878:0.696046:0.490333:0.696046:0.490333:0.680611:0.482878:0.680611:0.000000
   [0,  ], es la integral indefinida o primitiva de  . Entonces,  :@0.490370:0.696046:0.930934:0.696043:0.930934:0.680331:0.490370:0.680333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.495052:0.695753:0.509688:0.695753:0.509688:0.682344:0.495052:0.682344:0.000000
b:@0.536080:0.696043:0.545339:0.696043:0.545339:0.680608:0.536080:0.680608:0.000000
f:@0.843169:0.696043:0.847862:0.696043:0.847862:0.680608:0.843169:0.680608:0.000000
F b:@0.355321:0.714322:0.377355:0.714322:0.377355:0.698886:0.355321:0.698886:0.000000:0.000000:0.000000
( )    (0)           (    0    )          .:@0.363291:0.714322:0.700497:0.714324:0.700497:0.698612:0.363291:0.698609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.386024:0.713767:0.401358:0.713767:0.401358:0.700051:0.386024:0.700051:0.000000
F:@0.405223:0.714322:0.413267:0.714322:0.413267:0.698886:0.405223:0.698886:0.000000
5:@0.435632:0.713767:0.450965:0.713767:0.450965:0.700051:0.435632:0.700051:0.000000
cb:@0.454831:0.714322:0.471673:0.714322:0.471673:0.698886:0.454831:0.698886:0.000000:0.000000
1 2:@0.475576:0.713767:0.521557:0.713767:0.521557:0.700051:0.475576:0.700051:0.000000:0.000000:0.000000
k:@0.494774:0.714322:0.502340:0.714322:0.502340:0.698886:0.494774:0.698886:0.000000
c:@0.530208:0.714322:0.537866:0.714322:0.537866:0.698886:0.530208:0.698886:0.000000
3 1:@0.541750:0.713767:0.589130:0.713767:0.589130:0.700051:0.541750:0.700051:0.000000:0.000000:0.000000
k:@0.592996:0.714322:0.600561:0.714322:0.600561:0.698886:0.592996:0.698886:0.000000
5:@0.609231:0.713767:0.624564:0.713767:0.624564:0.700051:0.609231:0.700051:0.000000
bc:@0.628430:0.714322:0.645272:0.714322:0.645272:0.698886:0.628430:0.698886:0.000000:0.000000
5:@0.649174:0.713767:0.664508:0.713767:0.664508:0.700051:0.649174:0.700051:0.000000
cx:@0.668373:0.714322:0.683412:0.714322:0.683412:0.698886:0.668373:0.698886:0.000000:0.000000
*:@0.687281:0.716011:0.691193:0.716011:0.691193:0.693542:0.687281:0.693542:0.000000
b:@0.691076:0.703791:0.696968:0.703791:0.696968:0.693968:0.691076:0.693968:0.000000
0:@0.691076:0.717655:0.696792:0.717655:0.696792:0.707656:0.691076:0.707656:0.000000
ii.  Integral definida de una función lineal restringida a [0,  ].:@0.325203:0.748687:0.765390:0.748687:0.765390:0.732974:0.325203:0.732974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.748197:0.748687:0.757456:0.748687:0.757456:0.733252:0.748197:0.733252:0.000000
Sea     :@0.355313:0.783053:0.418063:0.783050:0.418063:0.767337:0.355313:0.767340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.384654:0.782498:0.395901:0.782498:0.395901:0.768782:0.384654:0.768782:0.000000
[:@0.399483:0.782760:0.414120:0.782760:0.414120:0.769350:0.399483:0.769350:0.000000
R:@0.417695:0.782190:0.430985:0.782190:0.430985:0.769293:0.417695:0.769293:0.000000
1:@0.430895:0.776663:0.439834:0.776663:0.439834:0.768667:0.430895:0.768667:0.000000
 con     0. La función definida como  ( )    ,   :@0.439780:0.783050:0.789573:0.783050:0.789573:0.767337:0.439780:0.767337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b .:@0.474736:0.782495:0.504887:0.782495:0.504887:0.768780:0.474736:0.768780:0.000000:0.000000:0.000000
f x:@0.712465:0.783050:0.729345:0.783050:0.729345:0.767615:0.712465:0.767615:0.000000:0.000000:0.000000
5 b:@0.737738:0.782495:0.767890:0.782495:0.767890:0.768780:0.737738:0.768780:0.000000:0.000000:0.000000
x:@0.767798:0.783050:0.775252:0.783050:0.775252:0.767615:0.767798:0.767615:0.000000
;:@0.789205:0.782495:0.801483:0.782495:0.801483:0.768780:0.789205:0.768780:0.000000
x:@0.801391:0.783050:0.808846:0.783050:0.808846:0.767615:0.801391:0.767615:0.000000
   [0,  ] se llama :@0.808772:0.783050:0.930974:0.783050:0.930974:0.767337:0.808772:0.767337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.812450:0.782760:0.827086:0.782760:0.827086:0.769350:0.812450:0.769350:0.000000
b:@0.850873:0.783050:0.860132:0.783050:0.860132:0.767615:0.850873:0.767615:0.000000
función lineal restringida al intervalo [0,  ]. Consideramos     :@0.355313:0.801328:0.814309:0.801331:0.814309:0.785618:0.355313:0.785616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.651080:0.801328:0.660339:0.801328:0.660339:0.785893:0.651080:0.785893:0.000000
c:@0.783300:0.801328:0.790957:0.801328:0.790957:0.785893:0.783300:0.785893:0.000000
[:@0.795609:0.801041:0.810245:0.801041:0.810245:0.787631:0.795609:0.787631:0.000000
R:@0.814898:0.800471:0.828188:0.800471:0.828188:0.787574:0.814898:0.787574:0.000000
1:@0.828217:0.794943:0.837156:0.794943:0.837156:0.786947:0.828217:0.786947:0.000000
    :@0.837174:0.801331:0.861711:0.801331:0.861711:0.785618:0.837174:0.785618:0.000000:0.000000:0.000000:0.000000
b 5 :@0.846396:0.800776:0.882272:0.800776:0.882272:0.787060:0.846396:0.787060:0.000000:0.000000:0.000000:0.000000
c:@0.884352:0.794145:0.892010:0.794145:0.892010:0.778709:0.884352:0.778709:0.000000
b:@0.883542:0.810537:0.892801:0.810537:0.892801:0.795101:0.883542:0.795101:0.000000
, y el :@0.893445:0.801328:0.930959:0.801328:0.930959:0.785616:0.893445:0.785616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto::@0.355309:0.819607:0.424734:0.819607:0.424734:0.803894:0.355309:0.803894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.512047:0.853972:0.520110:0.853972:0.520110:0.838537:0.512047:0.838537:0.000000
 :@0.520036:0.853972:0.524067:0.853972:0.524067:0.838259:0.520036:0.838259:0.000000
5:@0.523993:0.853417:0.539327:0.853417:0.539327:0.839702:0.523993:0.839702:0.000000
5:@0.539477:0.858449:0.543564:0.858449:0.543564:0.835167:0.539477:0.835167:0.000000
( ,  ) | 0        ,   :@0.544196:0.853974:0.682851:0.853972:0.682851:0.838259:0.544196:0.838262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.548994:0.853974:0.570917:0.853974:0.570917:0.838539:0.548994:0.838539:0.000000:0.000000:0.000000
# #:@0.600221:0.853420:0.646111:0.853420:0.646111:0.839704:0.600221:0.839704:0.000000:0.000000:0.000000
y:@0.619420:0.853974:0.626893:0.853974:0.626893:0.838539:0.619420:0.838539:0.000000
c:@0.651393:0.846788:0.659051:0.846788:0.659051:0.831353:0.651393:0.831353:0.000000
b:@0.650602:0.863180:0.659861:0.863180:0.659861:0.847745:0.650602:0.847745:0.000000
x:@0.660395:0.853972:0.667849:0.853972:0.667849:0.838537:0.660395:0.838537:0.000000
;:@0.682741:0.853417:0.695019:0.853417:0.695019:0.839702:0.682741:0.839702:0.000000
x:@0.694927:0.853972:0.702381:0.853972:0.702381:0.838537:0.694927:0.838537:0.000000
   [0,  ]  .:@0.702308:0.853972:0.770180:0.853974:0.770180:0.838262:0.702308:0.838259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.706264:0.853684:0.720900:0.853684:0.720900:0.840275:0.706264:0.840275:0.000000
b:@0.745257:0.853974:0.754516:0.853974:0.754516:0.838539:0.745257:0.838539:0.000000
Como     0,     0 y     [0,  ], resulta que  ( )   0,   :@0.355318:0.888340:0.732765:0.888337:0.732765:0.872625:0.355318:0.872627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.403987:0.888340:0.413245:0.888340:0.413245:0.872905:0.403987:0.872905:0.000000
.:@0.417129:0.887785:0.432463:0.887785:0.432463:0.874069:0.417129:0.874069:0.000000
c:@0.452287:0.888340:0.459945:0.888340:0.459945:0.872905:0.452287:0.872905:0.000000
.:@0.463828:0.887785:0.479162:0.887785:0.479162:0.874069:0.463828:0.874069:0.000000
x:@0.507840:0.888340:0.515295:0.888340:0.515295:0.872905:0.507840:0.872905:0.000000
[:@0.519198:0.888047:0.533834:0.888047:0.533834:0.874637:0.519198:0.874637:0.000000
b:@0.558467:0.888337:0.567726:0.888337:0.567726:0.872902:0.558467:0.872902:0.000000
f x:@0.664032:0.888337:0.680912:0.888337:0.680912:0.872902:0.664032:0.872902:0.000000:0.000000:0.000000
$:@0.689582:0.887783:0.704915:0.887783:0.704915:0.874067:0.689582:0.874067:0.000000
;:@0.732655:0.887783:0.744932:0.887783:0.744932:0.874067:0.732655:0.874067:0.000000
x:@0.744840:0.888337:0.752295:0.888337:0.752295:0.872902:0.744840:0.872902:0.000000
   [0,  ].:@0.752222:0.888337:0.812199:0.888337:0.812199:0.872625:0.752222:0.872625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.756198:0.888047:0.770834:0.888047:0.770834:0.874637:0.756198:0.874637:0.000000
b:@0.795191:0.888337:0.804450:0.888337:0.804450:0.872902:0.795191:0.872902:0.000000
En la Figura 2.2 se muestran el intervalo [0,  ], el segmento de recta de ecuación :@0.355313:0.922703:0.931020:0.922703:0.931020:0.906990:0.355313:0.906990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.661223:0.922703:0.670482:0.922703:0.670482:0.907267:0.661223:0.907267:0.000000
cartesiana      ,  así como la región triangular  .:@0.355313:0.940981:0.713538:0.940978:0.713538:0.925266:0.355313:0.925268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.432734:0.940981:0.440207:0.940981:0.440207:0.925546:0.432734:0.925546:0.000000
5:@0.444091:0.940426:0.459424:0.940426:0.459424:0.926711:0.444091:0.926711:0.000000
c:@0.464709:0.933794:0.472366:0.933794:0.472366:0.918359:0.464709:0.918359:0.000000
b:@0.463899:0.950187:0.473158:0.950187:0.473158:0.934751:0.463899:0.934751:0.000000
x:@0.473691:0.940978:0.481146:0.940978:0.481146:0.925543:0.473691:0.925543:0.000000
S:@0.702346:0.940978:0.710409:0.940978:0.710409:0.925543:0.702346:0.925543:0.000000
Tema 2. Áreas de regiones bajo una curva o entre curvas:@0.073089:0.097630:0.902445:0.097630:0.902445:0.066388:0.073089:0.066388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imagina que tienes una colina dibujada en una gráfica y quieres saber cuánto terreno :@0.293660:0.188576:0.893078:0.188576:0.893078:0.173577:0.293660:0.173577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ocupa la parte de la colina entre dos puntos.  :@0.293660:0.204461:0.611828:0.204461:0.611828:0.189463:0.293660:0.189463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si dividieras esa parte de la colina en varias secciones pequeñas, ¿cómo podrías usar :@0.293660:0.220347:0.884451:0.220347:0.884451:0.205348:0.293660:0.205348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esas secciones para estimar el área total bajo la colina?:@0.293660:0.236232:0.673395:0.236232:0.673395:0.221234:0.293660:0.221234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.140818:0.437491:0.140818:0.437491:0.123871:0.302768:0.123871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC 11. 1. Calcula el área entre dos curvas en el plano cartesiano por medio de las técnicas del cálculo.:@0.381796:0.971366:0.918728:0.971366:0.918728:0.959939:0.381796:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recorrido:@0.085307:0.564394:0.152387:0.563071:0.151861:0.547922:0.084781:0.549245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Espacio que :@0.152300:0.563073:0.242180:0.561299:0.241684:0.547020:0.151803:0.548793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ha recorrido, recorre o :@0.085829:0.579519:0.235001:0.576575:0.234505:0.562296:0.085333:0.565239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ha de recorrer alguien o :@0.086355:0.594642:0.247563:0.591462:0.247066:0.577182:0.085859:0.580363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algo.:@0.086881:0.609766:0.118358:0.609145:0.117862:0.594866:0.086384:0.595487:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesión. :@0.087406:0.624890:0.156056:0.623535:0.155529:0.608387:0.086880:0.609741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto :@0.155958:0.623537:0.221837:0.622238:0.221341:0.607958:0.155462:0.609258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordenado de términos :@0.087932:0.640014:0.239799:0.637017:0.239302:0.622738:0.087436:0.625734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que cumplen una ley :@0.088458:0.655138:0.232395:0.652297:0.231899:0.638018:0.087961:0.640858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinada.:@0.088984:0.670261:0.177044:0.668524:0.176548:0.654244:0.088487:0.655982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.137493:0.538938:0.197112:0.538938:0.197112:0.523532:0.137493:0.523532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 2.1:@0.073089:0.490157:0.124415:0.490157:0.124415:0.478730:0.073089:0.478730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.103677:0.406426:0.110394:0.406426:0.110394:0.393571:0.103677:0.393571:0.000000
b:@0.250878:0.468618:0.259192:0.468618:0.259192:0.455762:0.250878:0.455762:0.000000
0:@0.105800:0.469266:0.113558:0.469266:0.113558:0.455696:0.105800:0.455696:0.000000
x:@0.280685:0.470667:0.287505:0.470667:0.287505:0.457097:0.280685:0.457097:0.000000
y:@0.102955:0.379533:0.109950:0.379533:0.109950:0.365963:0.102955:0.365963:0.000000
S:@0.182283:0.435384:0.189271:0.435384:0.189271:0.422529:0.182283:0.422529:0.000000
y:@0.172303:0.398218:0.178417:0.398218:0.178417:0.385589:0.172303:0.385589:0.000000
 = :@0.178417:0.398218:0.193990:0.398218:0.193990:0.385362:0.178417:0.385362:0.000000:0.000000:0.000000
c:@0.193990:0.398218:0.200255:0.398218:0.200255:0.385589:0.193990:0.385589:0.000000
Figura 2.2:@0.073089:0.940006:0.124415:0.940006:0.124415:0.928578:0.073089:0.928578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.102268:0.856379:0.108985:0.856379:0.108985:0.843523:0.102268:0.843523:0.000000
b:@0.249469:0.918570:0.257783:0.918570:0.257783:0.905714:0.249469:0.905714:0.000000
0:@0.104391:0.919218:0.112149:0.919218:0.112149:0.905647:0.104391:0.905647:0.000000
x:@0.279276:0.920619:0.286096:0.920619:0.286096:0.907049:0.279276:0.907049:0.000000
y:@0.101546:0.829485:0.108540:0.829485:0.108540:0.815915:0.101546:0.815915:0.000000
S:@0.213317:0.892629:0.220306:0.892629:0.220306:0.879773:0.213317:0.879773:0.000000
y:@0.140738:0.877441:0.146852:0.877441:0.146852:0.864812:0.140738:0.864812:0.000000
 =     :@0.146852:0.877441:0.175618:0.877441:0.175618:0.864585:0.146852:0.864585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.175618:0.877441:0.181717:0.877441:0.181717:0.864812:0.175618:0.864812:0.000000
c:@0.164276:0.871387:0.170552:0.871387:0.170552:0.858734:0.164276:0.858734:0.000000
b:@0.163612:0.884233:0.171201:0.884233:0.171201:0.871580:0.163612:0.871580:0.000000
Podrías dividir la parte de la colina en pequeñas secciones rectangulares y sumar el área de cada una. Cuanto más delgadas sean :@0.293660:0.245279:0.893840:0.245279:0.893840:0.235280:0.293660:0.235280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las secciones, más precisa será la estimación del área total bajo la colina.:@0.293660:0.266716:0.627707:0.266716:0.627707:0.256717:0.293660:0.256717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000