209:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.608443:0.043660:0.931638:0.043660:0.931638:0.024915:0.608443:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escalonada. :@0.747020:0.159075:0.831681:0.157404:0.831155:0.142255:0.746493:0.143926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Semejante :@0.831564:0.157407:0.905774:0.155943:0.905277:0.141663:0.831068:0.143127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la superficie a una :@0.747546:0.174199:0.890598:0.171376:0.890102:0.157097:0.747050:0.159919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
serie de escalones.:@0.748072:0.189322:0.870309:0.186911:0.869813:0.172631:0.747575:0.175043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.799205:0.128848:0.858825:0.128848:0.858825:0.113442:0.799205:0.113442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma::@0.073089:0.136836:0.136483:0.136836:0.136483:0.121124:0.073089:0.121124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c h:@0.388608:0.171202:0.410883:0.171199:0.410883:0.155764:0.388608:0.155766:0.000000:0.000000:0.000000
1 1:@0.396194:0.174371:0.416052:0.174371:0.416052:0.165211:0.396194:0.165211:0.000000:0.000000:0.000000
   :@0.416005:0.171199:0.439235:0.171199:0.439235:0.155486:0.416005:0.155486:0.000000:0.000000:0.000000
1:@0.419962:0.170644:0.435296:0.170644:0.435296:0.156929:0.419962:0.156929:0.000000
c h:@0.439161:0.171199:0.461427:0.171199:0.461427:0.155764:0.439161:0.155764:0.000000:0.000000:0.000000
2 2:@0.446738:0.174371:0.466597:0.174371:0.466597:0.165211:0.446738:0.165211:0.000000:0.000000:0.000000
   …   :@0.466549:0.171199:0.531251:0.171199:0.531251:0.155486:0.466549:0.155486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.470507:0.170644:0.485840:0.170644:0.485840:0.156929:0.470507:0.156929:0.000000
1:@0.511979:0.170644:0.527312:0.170644:0.527312:0.156929:0.511979:0.156929:0.000000
c h:@0.531177:0.171199:0.553748:0.171199:0.553748:0.155764:0.531177:0.155764:0.000000:0.000000:0.000000
n n:@0.538751:0.174371:0.559218:0.174371:0.559218:0.165373:0.538751:0.165373:0.000000:0.000000:0.000000
se expresa como :@0.073089:0.205562:0.199099:0.205562:0.199099:0.189849:0.073089:0.189849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
^:@0.198918:0.211258:0.217041:0.211258:0.217041:0.187184:0.198918:0.187184:0.000000
n:@0.206463:0.191406:0.212508:0.191406:0.212508:0.181584:0.206463:0.181584:0.000000
j:@0.200454:0.218482:0.202762:0.218482:0.202762:0.208660:0.200454:0.208660:0.000000
5:@0.202715:0.218129:0.212472:0.218129:0.212472:0.209401:0.202715:0.209401:0.000000
1:@0.212414:0.218482:0.218130:0.218482:0.218130:0.208483:0.212414:0.208483:0.000000
 :@0.218058:0.205562:0.222089:0.205562:0.222089:0.189849:0.218058:0.189849:0.000000
ch:@0.223856:0.205562:0.243013:0.205562:0.243013:0.190127:0.223856:0.190127:0.000000:0.000000
j j:@0.231440:0.208734:0.245062:0.208734:0.245062:0.199736:0.231440:0.199736:0.000000:0.000000:0.000000
 o también así::@0.245023:0.205562:0.350073:0.205562:0.350073:0.189849:0.245023:0.189849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
^:@0.269229:0.245621:0.287351:0.245621:0.287351:0.221547:0.269229:0.221547:0.000000
n:@0.276776:0.225768:0.282820:0.225768:0.282820:0.215945:0.276776:0.215945:0.000000
j:@0.270767:0.252844:0.273074:0.252844:0.273074:0.243021:0.270767:0.243021:0.000000
5:@0.273027:0.252491:0.282785:0.252491:0.282785:0.243763:0.273027:0.243763:0.000000
1:@0.282726:0.252844:0.288443:0.252844:0.288443:0.242845:0.282726:0.242845:0.000000
  (    :@0.288371:0.239925:0.339477:0.239925:0.339477:0.224212:0.288371:0.224212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c x:@0.292328:0.239925:0.314246:0.239925:0.314246:0.224490:0.292328:0.224490:0.000000:0.000000:0.000000
j:@0.299912:0.243097:0.302026:0.243097:0.302026:0.234098:0.299912:0.234098:0.000000
j:@0.314172:0.243097:0.316287:0.243097:0.316287:0.234098:0.314172:0.234098:0.000000
2:@0.320205:0.239370:0.335538:0.239370:0.335538:0.225654:0.320205:0.225654:0.000000
x:@0.339404:0.239925:0.346859:0.239925:0.346859:0.224490:0.339404:0.224490:0.000000
j:@0.346778:0.243097:0.348893:0.243097:0.348893:0.234098:0.346778:0.234098:0.000000
2:@0.348850:0.242774:0.357789:0.242774:0.357789:0.234778:0.348850:0.234778:0.000000
1:@0.357735:0.243097:0.362972:0.243097:0.362972:0.233937:0.357735:0.233937:0.000000
), que se lee “suma de     1 hasta   de :@0.362930:0.239925:0.640272:0.239925:0.640272:0.224212:0.362930:0.224212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.521821:0.239925:0.525448:0.239925:0.525448:0.224490:0.521821:0.224490:0.000000
5:@0.529332:0.239370:0.544665:0.239370:0.544665:0.225654:0.529332:0.225654:0.000000
n:@0.604065:0.239925:0.613563:0.239925:0.613563:0.224490:0.604065:0.224490:0.000000
ch:@0.640162:0.239925:0.659334:0.239925:0.659334:0.224490:0.640162:0.224490:0.000000:0.000000
j j:@0.647759:0.243097:0.661381:0.243097:0.661381:0.234098:0.647759:0.234098:0.000000:0.000000:0.000000
” o:@0.661342:0.239925:0.678608:0.239925:0.678608:0.224212:0.661342:0.224212:0.000000:0.000000:0.000000
“de  (    :@0.073083:0.274290:0.147074:0.274288:0.147074:0.258575:0.073083:0.258578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c x:@0.099902:0.274290:0.121842:0.274288:0.121842:0.258852:0.099902:0.258855:0.000000:0.000000:0.000000
j:@0.107508:0.277460:0.109622:0.277460:0.109622:0.268461:0.107508:0.268461:0.000000
j:@0.121769:0.277460:0.123883:0.277460:0.123883:0.268461:0.121769:0.268461:0.000000
2 2:@0.127802:0.273733:0.171784:0.273733:0.171784:0.260017:0.127802:0.260017:0.000000:0.000000:0.000000
x:@0.147000:0.274288:0.154455:0.274288:0.154455:0.258852:0.147000:0.258852:0.000000
j:@0.154376:0.277460:0.156490:0.277460:0.156490:0.268461:0.154376:0.268461:0.000000
1:@0.171692:0.277460:0.176929:0.277460:0.176929:0.268300:0.171692:0.268300:0.000000
)”. Así, :@0.176881:0.274288:0.220107:0.274288:0.220107:0.258575:0.176881:0.258575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.242511:0.310379:0.249024:0.310379:0.249024:0.287910:0.242511:0.287910:0.000000
b:@0.250599:0.295744:0.256491:0.295744:0.256491:0.285922:0.250599:0.285922:0.000000
a:@0.250599:0.313395:0.256491:0.313395:0.256491:0.303572:0.250599:0.303572:0.000000
f x dx:@0.260385:0.308651:0.298635:0.308651:0.298635:0.293215:0.260385:0.293215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )    :@0.265005:0.308651:0.321810:0.308651:0.321810:0.292938:0.265005:0.292938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.302537:0.308096:0.317871:0.308096:0.317871:0.294380:0.302537:0.294380:0.000000
^:@0.321719:0.314345:0.339842:0.314345:0.339842:0.290271:0.321719:0.290271:0.000000
n:@0.329266:0.294494:0.335311:0.294494:0.335311:0.284671:0.329266:0.284671:0.000000
j:@0.323257:0.321569:0.325565:0.321569:0.325565:0.311747:0.323257:0.311747:0.000000
5:@0.325518:0.321216:0.335276:0.321216:0.335276:0.312488:0.325518:0.312488:0.000000
1:@0.335217:0.321569:0.340933:0.321569:0.340933:0.311570:0.335217:0.311570:0.000000
c h:@0.340860:0.308651:0.363139:0.308651:0.363139:0.293215:0.340860:0.293215:0.000000:0.000000:0.000000
1 1:@0.348452:0.311823:0.368309:0.311823:0.368309:0.302662:0.348452:0.302662:0.000000:0.000000:0.000000
   :@0.368263:0.308651:0.391493:0.308651:0.391493:0.292938:0.368263:0.292938:0.000000:0.000000:0.000000
5:@0.372221:0.308096:0.387554:0.308096:0.387554:0.294380:0.372221:0.294380:0.000000
^:@0.391404:0.314345:0.409527:0.314345:0.409527:0.290271:0.391404:0.290271:0.000000
n:@0.398951:0.294494:0.404996:0.294494:0.404996:0.284671:0.398951:0.284671:0.000000
j:@0.392942:0.321569:0.395250:0.321569:0.395250:0.311747:0.392942:0.311747:0.000000
5:@0.395203:0.321216:0.404960:0.321216:0.404960:0.312488:0.395203:0.312488:0.000000
1:@0.404902:0.321569:0.410618:0.321569:0.410618:0.311570:0.404902:0.311570:0.000000
c x:@0.410546:0.308651:0.432471:0.308651:0.432471:0.293215:0.410546:0.293215:0.000000:0.000000:0.000000
j:@0.418137:0.311823:0.420251:0.311823:0.420251:0.302824:0.418137:0.302824:0.000000
(    :@0.420212:0.308651:0.457704:0.308651:0.457704:0.292938:0.420212:0.292938:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.432399:0.311823:0.434513:0.311823:0.434513:0.302824:0.432399:0.302824:0.000000
2 2 5:@0.438432:0.308096:0.511587:0.308096:0.511587:0.294380:0.438432:0.294380:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.457630:0.308651:0.465085:0.308651:0.465085:0.293215:0.457630:0.293215:0.000000
j:@0.465005:0.311823:0.467119:0.311823:0.467119:0.302824:0.465005:0.302824:0.000000
1:@0.482321:0.311823:0.487558:0.311823:0.487558:0.302662:0.482321:0.302662:0.000000
)   :@0.487510:0.308651:0.515526:0.308651:0.515526:0.292938:0.487510:0.292938:0.000000:0.000000:0.000000:0.000000
c h:@0.515452:0.308651:0.537729:0.308651:0.537729:0.293215:0.515452:0.293215:0.000000:0.000000:0.000000
1 1:@0.523041:0.311823:0.542899:0.311823:0.542899:0.302662:0.523041:0.302662:0.000000:0.000000:0.000000
   :@0.542853:0.308651:0.566082:0.308651:0.566082:0.292938:0.542853:0.292938:0.000000:0.000000:0.000000
1:@0.546810:0.308096:0.562143:0.308096:0.562143:0.294380:0.546810:0.294380:0.000000
c h:@0.566009:0.308651:0.588273:0.308651:0.588273:0.293215:0.566009:0.293215:0.000000:0.000000:0.000000
2 2:@0.573586:0.311823:0.593443:0.311823:0.593443:0.302662:0.573586:0.302662:0.000000:0.000000:0.000000
   …   :@0.593397:0.308651:0.658099:0.308651:0.658099:0.292938:0.593397:0.292938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.597355:0.308096:0.612688:0.308096:0.612688:0.294380:0.597355:0.294380:0.000000
1:@0.638826:0.308096:0.654159:0.308096:0.654159:0.294380:0.638826:0.294380:0.000000
c h:@0.658025:0.308651:0.680596:0.308651:0.680596:0.293215:0.658025:0.293215:0.000000:0.000000:0.000000
n n:@0.665599:0.311823:0.686066:0.311823:0.686066:0.302824:0.665599:0.302824:0.000000:0.000000:0.000000
 :@0.686027:0.308651:0.690059:0.308651:0.690059:0.292938:0.686027:0.292938:0.000000
5:@0.689985:0.308096:0.705318:0.308096:0.705318:0.294380:0.689985:0.294380:0.000000
c x:@0.314937:0.343016:0.339961:0.343012:0.339961:0.327577:0.314937:0.327581:0.000000:0.000000:0.000000
1:@0.322513:0.346185:0.327750:0.346185:0.327750:0.337024:0.322513:0.337024:0.000000
(     )    (     )   …    (    :@0.327702:0.343012:0.598027:0.343012:0.598027:0.327299:0.327702:0.327299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.339887:0.346185:0.345124:0.346185:0.345124:0.337024:0.339887:0.337024:0.000000
2:@0.349036:0.342457:0.364369:0.342457:0.364369:0.328742:0.349036:0.328742:0.000000
x:@0.368235:0.343012:0.375690:0.343012:0.375690:0.327577:0.368235:0.327577:0.000000
0:@0.375609:0.346185:0.380846:0.346185:0.380846:0.337024:0.375609:0.337024:0.000000
1:@0.389542:0.342457:0.404875:0.342457:0.404875:0.328742:0.389542:0.328742:0.000000
c x:@0.408741:0.343012:0.433778:0.343012:0.433778:0.327577:0.408741:0.327577:0.000000:0.000000:0.000000
2:@0.416328:0.346185:0.421565:0.346185:0.421565:0.337024:0.416328:0.337024:0.000000
2:@0.433704:0.346185:0.438941:0.346185:0.438941:0.337024:0.433704:0.337024:0.000000
2:@0.442851:0.342457:0.458184:0.342457:0.458184:0.328742:0.442851:0.328742:0.000000
x:@0.462050:0.343012:0.469505:0.343012:0.469505:0.327577:0.462050:0.327577:0.000000
1:@0.469424:0.346185:0.474661:0.346185:0.474661:0.337024:0.469424:0.337024:0.000000
1:@0.483359:0.342457:0.498692:0.342457:0.498692:0.328742:0.483359:0.328742:0.000000
1:@0.524830:0.342457:0.540163:0.342457:0.540163:0.328742:0.524830:0.328742:0.000000
c x:@0.544029:0.343012:0.569371:0.343012:0.569371:0.327577:0.544029:0.327577:0.000000:0.000000:0.000000
n:@0.551613:0.346185:0.557150:0.346185:0.557150:0.337186:0.551613:0.337186:0.000000
n:@0.569299:0.346185:0.574836:0.346185:0.574836:0.337186:0.569299:0.337186:0.000000
2:@0.578755:0.342457:0.594088:0.342457:0.594088:0.328742:0.578755:0.328742:0.000000
x:@0.597954:0.343012:0.605409:0.343012:0.605409:0.327577:0.597954:0.327577:0.000000
n:@0.605327:0.346185:0.610864:0.346185:0.610864:0.337186:0.605327:0.337186:0.000000
2:@0.610821:0.345861:0.619761:0.345861:0.619761:0.337865:0.610821:0.337865:0.000000
1:@0.619707:0.346185:0.624944:0.346185:0.624944:0.337024:0.619707:0.337024:0.000000
).:@0.624902:0.343012:0.632909:0.343012:0.632909:0.327299:0.624902:0.327299:0.000000:0.000000
Notemos que el cálculo de :@0.073089:0.377378:0.271761:0.377378:0.271761:0.361665:0.073089:0.361665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.271518:0.379105:0.278031:0.379105:0.278031:0.356636:0.271518:0.356636:0.000000
b:@0.279605:0.364470:0.285497:0.364470:0.285497:0.354648:0.279605:0.354648:0.000000
a:@0.279605:0.382120:0.285497:0.382120:0.285497:0.372298:0.279605:0.372298:0.000000
f:@0.289391:0.377375:0.294085:0.377375:0.294085:0.361940:0.289391:0.361940:0.000000
 se reduce a calcular la suma::@0.294012:0.377375:0.502965:0.377375:0.502965:0.361662:0.294012:0.361662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c h:@0.073088:0.411740:0.095262:0.411738:0.095262:0.396303:0.073088:0.396305:0.000000:0.000000:0.000000
1 1:@0.080618:0.414910:0.100370:0.414910:0.100370:0.405750:0.080618:0.405750:0.000000:0.000000:0.000000
   :@0.100279:0.411738:0.122938:0.411738:0.122938:0.396025:0.100279:0.396025:0.000000:0.000000:0.000000
1:@0.103758:0.411183:0.119091:0.411183:0.119091:0.397468:0.103758:0.397468:0.000000
c h:@0.122386:0.411738:0.144550:0.411738:0.144550:0.396303:0.122386:0.396303:0.000000:0.000000:0.000000
2 2:@0.129905:0.414910:0.149658:0.414910:0.149658:0.405750:0.129905:0.405750:0.000000:0.000000:0.000000
   …   :@0.149566:0.411738:0.212574:0.411738:0.212574:0.396025:0.149566:0.396025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.153045:0.411183:0.168379:0.411183:0.168379:0.397468:0.153045:0.397468:0.000000
1:@0.193394:0.411183:0.208727:0.411183:0.208727:0.397468:0.193394:0.397468:0.000000
c h:@0.212022:0.411738:0.234503:0.411738:0.234503:0.396303:0.212022:0.396303:0.000000:0.000000:0.000000
n n:@0.219541:0.414910:0.239911:0.414910:0.239911:0.405911:0.219541:0.405911:0.000000:0.000000:0.000000
 que requiere únicamente de los elementos básicos de suma y multiplicación de números reales.:@0.239836:0.411738:0.927015:0.411738:0.927015:0.396025:0.239836:0.396025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,      , tales que       y   la función real definida en el intervalo cerrado [ ,  ]. En el cálculo de integrales :@0.073084:0.446103:0.931010:0.446101:0.931010:0.430388:0.073084:0.430391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.114317:0.446103:0.141283:0.446103:0.141283:0.430668:0.114317:0.430668:0.000000:0.000000:0.000000
[:@0.146409:0.445811:0.161045:0.445811:0.161045:0.432401:0.146409:0.432401:0.000000
R:@0.166200:0.445241:0.179490:0.445241:0.179490:0.432344:0.166200:0.432344:0.000000
a:@0.261273:0.446101:0.270532:0.446101:0.270532:0.430665:0.261273:0.430665:0.000000
,:@0.275668:0.445546:0.291001:0.445546:0.291001:0.431830:0.275668:0.431830:0.000000
b f:@0.296155:0.446101:0.328497:0.446101:0.328497:0.430665:0.296155:0.430665:0.000000:0.000000:0.000000
a b:@0.690181:0.446101:0.717147:0.446101:0.717147:0.430665:0.690181:0.430665:0.000000:0.000000:0.000000
definidas de funciones escalonadas se introdujo el símbolo :@0.073096:0.464379:0.505409:0.464379:0.505409:0.448666:0.073096:0.448666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.505163:0.466111:0.511676:0.466111:0.511676:0.443642:0.505163:0.443642:0.000000
b:@0.513252:0.451477:0.519144:0.451477:0.519144:0.441654:0.513252:0.441654:0.000000
a:@0.513252:0.469127:0.519144:0.469127:0.519144:0.459305:0.513252:0.459305:0.000000
p x dx:@0.523036:0.464382:0.565852:0.464382:0.565852:0.448946:0.523036:0.448946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  que se lee “integral definida desde   hasta   de la :@0.532221:0.464382:0.930956:0.464382:0.930956:0.448669:0.532221:0.448669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.822246:0.464382:0.831505:0.464382:0.831505:0.448946:0.822246:0.448946:0.000000
b:@0.878462:0.464382:0.887721:0.464382:0.887721:0.448946:0.878462:0.448946:0.000000
función :@0.073089:0.482660:0.132784:0.482660:0.132784:0.466947:0.073089:0.466947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalonada:@0.132655:0.482660:0.218415:0.482660:0.218415:0.465990:0.132655:0.465990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  ”.:@0.218304:0.482660:0.237650:0.482660:0.237650:0.466947:0.218304:0.466947:0.000000:0.000000:0.000000:0.000000
p:@0.222262:0.482660:0.231521:0.482660:0.231521:0.467225:0.222262:0.467225:0.000000
Definición:@0.073108:0.517025:0.151075:0.517025:0.151075:0.500356:0.073108:0.500356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i. :@0.104633:0.551388:0.115567:0.551388:0.115567:0.535675:0.104633:0.535675:0.000000:0.000000:0.000000
Se dice que ( ) es una sucesión de funciones escalonadas definidas en [ ,  ], si y solo si para cada     :@0.134834:0.551388:0.877660:0.551388:0.877660:0.535675:0.134834:0.535675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.228140:0.551388:0.237399:0.551388:0.237399:0.535953:0.228140:0.535953:0.000000
n:@0.237341:0.554560:0.242878:0.554560:0.242878:0.545562:0.237341:0.545562:0.000000
a b:@0.658457:0.551388:0.684024:0.551388:0.684024:0.535953:0.658457:0.535953:0.000000:0.000000:0.000000
n:@0.845622:0.551388:0.855120:0.551388:0.855120:0.535953:0.845622:0.535953:0.000000
[:@0.859081:0.551098:0.873717:0.551098:0.873717:0.537688:0.859081:0.537688:0.000000
Z:@0.877624:0.550528:0.889901:0.550528:0.889901:0.537631:0.877624:0.537631:0.000000
1:@0.889809:0.549571:0.905142:0.549571:0.905142:0.535856:0.889809:0.535856:0.000000
,   :@0.905050:0.551388:0.930943:0.551388:0.930943:0.535675:0.905050:0.535675:0.000000:0.000000:0.000000:0.000000
p:@0.912174:0.551388:0.921433:0.551388:0.921433:0.535953:0.912174:0.535953:0.000000
n:@0.921374:0.554560:0.926912:0.554560:0.926912:0.545562:0.921374:0.545562:0.000000
es una función escalonada en [ ,  ]. Esto es,      ([ ,  ]).:@0.134755:0.569666:0.547148:0.569669:0.547148:0.553956:0.134755:0.553954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.358772:0.569666:0.384284:0.569666:0.384284:0.554231:0.358772:0.554231:0.000000:0.000000:0.000000
p:@0.453017:0.569666:0.462276:0.569666:0.462276:0.554231:0.453017:0.554231:0.000000
n:@0.462240:0.572841:0.467778:0.572841:0.467778:0.563842:0.462240:0.563842:0.000000
[:@0.471690:0.569379:0.486326:0.569379:0.486326:0.555969:0.471690:0.555969:0.000000
«:@0.490196:0.569114:0.499400:0.569114:0.499400:0.555399:0.490196:0.555399:0.000000
a b:@0.508898:0.569669:0.534410:0.569669:0.534410:0.554234:0.508898:0.554234:0.000000:0.000000:0.000000
ii.  Sea   una función real definida en [ ,  ]. Se dice que la sucesión de funciones escalonadas ( ) converge a  , si y :@0.104633:0.604032:0.930946:0.604032:0.930946:0.588319:0.104633:0.588319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.164250:0.604032:0.168944:0.604032:0.168944:0.588596:0.164250:0.588596:0.000000
a b:@0.383260:0.604032:0.408570:0.604032:0.408570:0.588596:0.383260:0.588596:0.000000:0.000000:0.000000
p:@0.785661:0.604032:0.794920:0.604032:0.794920:0.588596:0.785661:0.588596:0.000000
n:@0.794868:0.607204:0.800405:0.607204:0.800405:0.598205:0.794868:0.598205:0.000000
f:@0.893029:0.604032:0.897723:0.604032:0.897723:0.588596:0.893029:0.588596:0.000000
solo si se verifica::@0.134742:0.622310:0.257246:0.622310:0.257246:0.606597:0.134742:0.606597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lím  ( )    ( ),   :@0.400874:0.652376:0.518933:0.652374:0.518933:0.636661:0.400874:0.636664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.427399:0.652376:0.454379:0.652374:0.454379:0.636938:0.427399:0.636941:0.000000:0.000000:0.000000
n:@0.436621:0.655546:0.442158:0.655546:0.442158:0.646547:0.436621:0.646547:0.000000
5:@0.463049:0.651819:0.478382:0.651819:0.478382:0.638103:0.463049:0.638103:0.000000
f x:@0.482247:0.652374:0.499127:0.652374:0.499127:0.636938:0.482247:0.636938:0.000000:0.000000:0.000000
;:@0.518823:0.651819:0.531100:0.651819:0.531100:0.638103:0.518823:0.638103:0.000000
x:@0.531008:0.652374:0.538463:0.652374:0.538463:0.636938:0.531008:0.636938:0.000000
   [ ,  ].:@0.538390:0.652374:0.599090:0.652374:0.599090:0.636661:0.538390:0.636661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.542352:0.652084:0.556988:0.652084:0.556988:0.638674:0.542352:0.638674:0.000000
a b:@0.565644:0.652374:0.591156:0.652374:0.591156:0.636938:0.565644:0.636938:0.000000:0.000000:0.000000
n:@0.401804:0.659928:0.407849:0.659928:0.407849:0.650106:0.401804:0.650106:0.000000
→:@0.407802:0.659663:0.419363:0.659663:0.419363:0.648853:0.407802:0.648853:0.000000
`:@0.419305:0.659575:0.427118:0.659575:0.427118:0.650847:0.419305:0.650847:0.000000
Sea   una función real definida en el intervalo [ ,  ].:@0.073089:0.691038:0.440829:0.691038:0.440829:0.675326:0.073089:0.675326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.102707:0.691038:0.107400:0.691038:0.107400:0.675603:0.102707:0.675603:0.000000
a b:@0.407383:0.691038:0.432896:0.691038:0.432896:0.675603:0.407383:0.675603:0.000000:0.000000:0.000000
El símbolo :@0.073053:0.725404:0.154026:0.725404:0.154026:0.709691:0.073053:0.709691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.154754:0.727130:0.161267:0.727130:0.161267:0.704661:0.154754:0.704661:0.000000
b:@0.162841:0.712496:0.168733:0.712496:0.168733:0.702674:0.162841:0.702674:0.000000
a:@0.162841:0.730147:0.168733:0.730147:0.168733:0.720324:0.162841:0.720324:0.000000
p x dx:@0.172750:0.725401:0.216117:0.725401:0.216117:0.709966:0.172750:0.709966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )  se lee “integral definida desde   hasta   de la función real dada como  ( ) por  ”. La integral de :@0.182045:0.725401:0.930885:0.725401:0.930885:0.709688:0.182045:0.709688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.446521:0.725401:0.455780:0.725401:0.455780:0.709966:0.446521:0.709966:0.000000
b:@0.504522:0.725401:0.513781:0.725401:0.513781:0.709966:0.504522:0.709966:0.000000
f x:@0.740981:0.725401:0.758082:0.725401:0.758082:0.709966:0.740981:0.709966:0.000000:0.000000:0.000000
dx:@0.797915:0.725401:0.814666:0.725401:0.814666:0.709966:0.797915:0.709966:0.000000:0.000000
funciones reales que se definen a continuación se conoce en la literatura como :@0.073074:0.743679:0.659117:0.743679:0.659117:0.727967:0.073074:0.727967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral de Riemann:@0.659879:0.743679:0.815034:0.743679:0.815034:0.727010:0.659879:0.727010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Para facilitar la :@0.815071:0.743679:0.930841:0.743679:0.930841:0.727967:0.815071:0.727967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprensión, la siguiente definición de integral definida es una simplificación de la definición de integral de Riemann :@0.073074:0.761958:0.931476:0.761958:0.931476:0.746245:0.073074:0.746245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a una clase de funciones continuas  .:@0.073074:0.780236:0.338047:0.780236:0.338047:0.764523:0.073074:0.764523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.330224:0.780236:0.334917:0.780236:0.334917:0.764801:0.330224:0.764801:0.000000
Definición:@0.073056:0.814601:0.151023:0.814601:0.151023:0.797932:0.073056:0.797932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   una función real definida en el intervalo [ ,  ]. Se dice que   es integrable en [ ,  ], que se escribe :@0.073056:0.848967:0.807868:0.848967:0.807868:0.833254:0.073056:0.833254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.102489:0.848967:0.107183:0.848967:0.107183:0.833531:0.102489:0.833531:0.000000
a b:@0.405693:0.848967:0.431022:0.848967:0.431022:0.833531:0.405693:0.833531:0.000000:0.000000:0.000000
f:@0.530439:0.848967:0.535133:0.848967:0.535133:0.833531:0.530439:0.833531:0.000000
a b:@0.663248:0.848967:0.688576:0.848967:0.688576:0.833531:0.663248:0.833531:0.000000:0.000000:0.000000
#:@0.807599:0.850698:0.814112:0.850698:0.814112:0.828229:0.807599:0.828229:0.000000
b:@0.815686:0.836063:0.821578:0.836063:0.821578:0.826241:0.815686:0.826241:0.000000
a:@0.815686:0.853713:0.821578:0.853713:0.821578:0.843891:0.815686:0.843891:0.000000
f x dx,:@0.825472:0.848968:0.866981:0.848968:0.866981:0.833533:0.825472:0.833533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.830093:0.848968:0.847156:0.848968:0.847156:0.833255:0.830093:0.833255:0.000000:0.000000:0.000000
 si y solo :@0.866926:0.848968:0.931001:0.848968:0.931001:0.833255:0.866926:0.833255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si existe una sucesión de funciones escalonadas ( ) definidas en [ ,  ],  tales que :@0.073094:0.867246:0.659344:0.867249:0.659344:0.851536:0.073094:0.851534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.427563:0.867246:0.436822:0.867246:0.436822:0.851811:0.427563:0.851811:0.000000
n:@0.436751:0.870421:0.442289:0.870421:0.442289:0.861422:0.436751:0.861422:0.000000
a b:@0.548164:0.867249:0.573676:0.867249:0.573676:0.851814:0.548164:0.851814:0.000000:0.000000:0.000000
lím  ( )    ( ),  :@0.408618:0.894444:0.522710:0.894443:0.522710:0.878730:0.408618:0.878732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p x:@0.435143:0.894444:0.462113:0.894443:0.462113:0.879008:0.435143:0.879009:0.000000:0.000000:0.000000
n:@0.444355:0.897616:0.449893:0.897616:0.449893:0.888617:0.444355:0.888617:0.000000
5:@0.470783:0.893888:0.486116:0.893888:0.486116:0.880173:0.470783:0.880173:0.000000
f x:@0.489982:0.894443:0.506861:0.894443:0.506861:0.879008:0.489982:0.879008:0.000000:0.000000:0.000000
;:@0.522600:0.893888:0.534877:0.893888:0.534877:0.880173:0.522600:0.880173:0.000000
x:@0.534785:0.894443:0.542240:0.894443:0.542240:0.879008:0.534785:0.879008:0.000000
   [ ,  ],:@0.542166:0.894443:0.602875:0.894443:0.602875:0.878730:0.542166:0.878730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.546137:0.894153:0.560774:0.894153:0.560774:0.880743:0.546137:0.880743:0.000000
a b:@0.569429:0.894443:0.594942:0.894443:0.594942:0.879008:0.569429:0.879008:0.000000:0.000000:0.000000
lím  :@0.408605:0.930597:0.439198:0.930597:0.439198:0.914885:0.408605:0.914885:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.439113:0.932322:0.445625:0.932322:0.445625:0.909853:0.439113:0.909853:0.000000
b:@0.447200:0.917688:0.453092:0.917688:0.453092:0.907866:0.447200:0.907866:0.000000
a:@0.447200:0.935339:0.453092:0.935339:0.453092:0.925516:0.447200:0.925516:0.000000
p x:@0.456986:0.930593:0.483938:0.930593:0.483938:0.915158:0.456986:0.915158:0.000000:0.000000:0.000000
n:@0.466180:0.933765:0.471717:0.933765:0.471717:0.924767:0.466180:0.924767:0.000000
( ) existe.:@0.471678:0.930593:0.537230:0.930593:0.537230:0.914880:0.471678:0.914880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.392256:0.936846:0.403085:0.936846:0.403085:0.875149:0.392256:0.875149:0.000000
n:@0.408630:0.900836:0.414674:0.900836:0.414674:0.891014:0.408630:0.891014:0.000000
→:@0.414631:0.900572:0.426192:0.900572:0.426192:0.889761:0.414631:0.889761:0.000000
`:@0.426134:0.900483:0.433947:0.900483:0.433947:0.891755:0.426134:0.891755:0.000000
n:@0.408634:0.937999:0.414678:0.937999:0.414678:0.928177:0.408634:0.928177:0.000000
→:@0.414631:0.937735:0.426192:0.937735:0.426192:0.926924:0.414631:0.926924:0.000000
`:@0.426134:0.937646:0.433947:0.937646:0.433947:0.928918:0.426134:0.928918:0.000000
En tal caso, :@0.073089:0.934808:0.156780:0.934808:0.156780:0.919095:0.073089:0.919095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.156621:0.936537:0.163134:0.936537:0.163134:0.914068:0.156621:0.914068:0.000000
b:@0.164709:0.921903:0.170601:0.921903:0.170601:0.912081:0.164709:0.912081:0.000000
a:@0.164709:0.939554:0.170601:0.939554:0.170601:0.929731:0.164709:0.929731:0.000000
f x dx:@0.174495:0.934808:0.212745:0.934808:0.212745:0.919373:0.174495:0.919373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )    lím  :@0.179115:0.934808:0.266439:0.934808:0.266439:0.919095:0.179115:0.919095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.216648:0.934253:0.231981:0.934253:0.231981:0.920538:0.216648:0.920538:0.000000
#:@0.266312:0.936537:0.272825:0.936537:0.272825:0.914068:0.266312:0.914068:0.000000
b:@0.274399:0.921903:0.280291:0.921903:0.280291:0.912081:0.274399:0.912081:0.000000
a:@0.274399:0.939554:0.280291:0.939554:0.280291:0.929731:0.274399:0.929731:0.000000
p x:@0.284185:0.934808:0.311135:0.934808:0.311135:0.919373:0.284185:0.919373:0.000000:0.000000:0.000000
n:@0.293377:0.937981:0.298915:0.937981:0.298915:0.928982:0.293377:0.928982:0.000000
( ).:@0.298876:0.934808:0.319069:0.934808:0.319069:0.919095:0.298876:0.919095:0.000000:0.000000:0.000000:0.000000
n:@0.235789:0.944060:0.241834:0.944060:0.241834:0.934238:0.235789:0.934238:0.000000
→:@0.241787:0.943796:0.253348:0.943796:0.253348:0.932985:0.241787:0.932985:0.000000
`:@0.253290:0.943707:0.261103:0.943707:0.261103:0.934979:0.253290:0.934979:0.000000
t.ly/5Ua7D:@0.766762:0.366094:0.843207:0.366094:0.843207:0.350381:0.766762:0.350381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición :@0.741917:0.237616:0.825193:0.237616:0.825193:0.220669:0.741917:0.220669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral definida:@0.741917:0.248961:0.869597:0.248961:0.869597:0.232014:0.741917:0.232014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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