217:@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:@0.607258:0.043660:0.930454:0.043660:0.930454:0.024915:0.607258:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 1 (Ev. 2) Propone y justifica diferentes estrategias para resolver problemas con números naturales en contextos escolares y extraescolares.:@0.082767:0.971338:0.827870:0.971338:0.827870:0.959911:0.082767:0.959911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al número real positivo   se le llama base del triángulo rectángulo y al número :@0.134754:0.136479:0.710724:0.136479:0.710724:0.120767:0.134754:0.120767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.307763:0.136479:0.317022:0.136479:0.317022:0.121044:0.307763:0.121044:0.000000
real positivo   se le llama altura del triángulo, de modo que el área de la región :@0.134754:0.154758:0.710735:0.154758:0.710735:0.139045:0.134754:0.139045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.226827:0.154758:0.234484:0.154758:0.234484:0.139322:0.226827:0.139322:0.000000
triangular es :@0.134735:0.173036:0.228421:0.173036:0.228421:0.157323:0.134735:0.157323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.229029:0.165855:0.238012:0.165855:0.238012:0.150142:0.229029:0.150142:0.000000
2:@0.229029:0.182247:0.238012:0.182247:0.238012:0.166534:0.229029:0.166534:0.000000
bc:@0.238674:0.173039:0.255517:0.173039:0.255517:0.157603:0.238674:0.157603:0.000000:0.000000
, lo cual se escribe::@0.255462:0.173039:0.388741:0.173039:0.388741:0.157326:0.255462:0.157326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a S:@0.380392:0.210441:0.402444:0.210441:0.402444:0.195006:0.380392:0.195006:0.000000:0.000000:0.000000
( )   :@0.389577:0.210441:0.430386:0.210441:0.430386:0.194728:0.389577:0.194728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.411113:0.209886:0.426447:0.209886:0.426447:0.196171:0.411113:0.196171:0.000000
1:@0.431072:0.203255:0.440055:0.203255:0.440055:0.187542:0.431072:0.187542:0.000000
2:@0.431072:0.219647:0.440055:0.219647:0.440055:0.203934:0.431072:0.203934:0.000000
bc:@0.440717:0.210439:0.457560:0.210439:0.457560:0.195003:0.440717:0.195003:0.000000:0.000000
.:@0.457505:0.210439:0.460708:0.210439:0.460708:0.194726:0.457505:0.194726:0.000000
Calculemos la :@0.134752:0.247841:0.239335:0.247841:0.239335:0.232128:0.134752:0.232128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral de Riemann:@0.239176:0.247841:0.392489:0.247841:0.392489:0.231171:0.239176:0.231171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de  .:@0.392343:0.247841:0.426838:0.247841:0.426838:0.232128:0.392343:0.232128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.419015:0.247841:0.423709:0.247841:0.423709:0.232406:0.419015:0.232406:0.000000
Sea :@0.134734:0.285244:0.164454:0.285244:0.164454:0.269531:0.134734:0.269531:0.000000:0.000000:0.000000:0.000000
n :@0.164351:0.285244:0.177089:0.285244:0.177089:0.269808:0.164351:0.269808:0.000000:0.000000
[:@0.177059:0.284952:0.191695:0.284952:0.191695:0.271542:0.177059:0.271542:0.000000
 :@0.191605:0.285242:0.195636:0.285242:0.195636:0.269530:0.191605:0.269530:0.000000
Z:@0.195563:0.284382:0.207840:0.284382:0.207840:0.271485:0.195563:0.271485:0.000000
1:@0.207748:0.284688:0.223082:0.284688:0.223082:0.270972:0.207748:0.270972:0.000000
,      ,     :@0.222990:0.285242:0.312799:0.285242:0.312799:0.269530:0.222990:0.269530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.230058:0.285242:0.239556:0.285242:0.239556:0.269807:0.230058:0.269807:0.000000
5:@0.243440:0.284688:0.258773:0.284688:0.258773:0.270972:0.243440:0.270972:0.000000
b:@0.263248:0.278056:0.272507:0.278056:0.272507:0.262621:0.263248:0.262621:0.000000
n:@0.263119:0.294448:0.272617:0.294448:0.272617:0.279013:0.263119:0.279013:0.000000
x:@0.280091:0.285240:0.287546:0.285240:0.287546:0.269804:0.280091:0.269804:0.000000
j:@0.287494:0.288415:0.289608:0.288415:0.289608:0.279416:0.287494:0.279416:0.000000
5:@0.293526:0.284688:0.308859:0.284688:0.308859:0.270972:0.293526:0.270972:0.000000
jh,  j:@0.312725:0.285242:0.339066:0.285242:0.339066:0.269807:0.312725:0.269807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   0, 1, …,  .:@0.339029:0.285242:0.432151:0.285242:0.432151:0.269530:0.339029:0.269530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.342987:0.284688:0.358320:0.284688:0.358320:0.270972:0.342987:0.270972:0.000000
n:@0.419524:0.285242:0.429022:0.285242:0.429022:0.269807:0.419524:0.269807:0.000000
Se define la sucesión de funciones escalonadas ( ) como sigue::@0.134764:0.322645:0.597025:0.322642:0.597025:0.306930:0.134764:0.306932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.484778:0.322645:0.494036:0.322645:0.494036:0.307210:0.484778:0.307210:0.000000
n:@0.493968:0.325815:0.499505:0.325815:0.499505:0.316816:0.493968:0.316816:0.000000
p x:@0.134745:0.360045:0.161704:0.360042:0.161704:0.344607:0.134745:0.344610:0.000000:0.000000:0.000000
n:@0.143946:0.363215:0.149483:0.363215:0.149483:0.354216:0.143946:0.354216:0.000000
( )    (:@0.149444:0.360042:0.199070:0.360042:0.199070:0.344330:0.149444:0.344330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.170373:0.359488:0.185707:0.359488:0.185707:0.345772:0.170373:0.345772:0.000000
f x:@0.189572:0.360042:0.206452:0.360042:0.206452:0.344607:0.189572:0.344607:0.000000:0.000000:0.000000
j 1:@0.206383:0.363215:0.222759:0.363215:0.222759:0.354054:0.206383:0.354054:0.000000:0.000000:0.000000
2:@0.208637:0.362891:0.217576:0.362891:0.217576:0.354895:0.208637:0.354895:0.000000
)   :@0.222709:0.360042:0.250724:0.360042:0.250724:0.344330:0.222709:0.344330:0.000000:0.000000:0.000000:0.000000
5 b:@0.231452:0.359488:0.261898:0.359488:0.261898:0.345772:0.231452:0.345772:0.000000:0.000000:0.000000
x:@0.261806:0.360042:0.269260:0.360042:0.269260:0.344607:0.261806:0.344607:0.000000
j:@0.269190:0.363215:0.271304:0.363215:0.271304:0.354216:0.269190:0.354216:0.000000
2:@0.271798:0.362891:0.280737:0.362891:0.280737:0.354895:0.271798:0.354895:0.000000
1:@0.280684:0.363215:0.285921:0.363215:0.285921:0.354054:0.280684:0.354054:0.000000
    (    1) ,     1, …,  .:@0.285879:0.360042:0.462589:0.360042:0.462589:0.344330:0.285879:0.344330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 b 2:@0.289836:0.359488:0.347838:0.359488:0.347838:0.345772:0.289836:0.345772:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.324994:0.360042:0.328621:0.360042:0.328621:0.344607:0.324994:0.344607:0.000000
h j:@0.365398:0.360042:0.385517:0.360042:0.385517:0.344607:0.365398:0.344607:0.000000:0.000000:0.000000
5:@0.389401:0.359488:0.404735:0.359488:0.404735:0.345772:0.389401:0.345772:0.000000
n:@0.449961:0.360042:0.459459:0.360042:0.459459:0.344607:0.449961:0.344607:0.000000
Aplicando la definición integral definida de una función escalonada, y la suma :@0.134755:0.397445:0.709849:0.397445:0.709849:0.381732:0.134755:0.381732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los     1 primeros números naturales, se tiene: :@0.134755:0.415723:0.502081:0.415723:0.502081:0.400010:0.134755:0.400010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.181749:0.415723:0.191247:0.415723:0.191247:0.400288:0.181749:0.400288:0.000000
2:@0.195131:0.415168:0.210464:0.415168:0.210464:0.401453:0.195131:0.401453:0.000000
#:@0.262990:0.454854:0.269503:0.454854:0.269503:0.432385:0.262990:0.432385:0.000000
b:@0.271078:0.440219:0.276970:0.440219:0.276970:0.430397:0.271078:0.430397:0.000000
0:@0.271078:0.457870:0.276794:0.457870:0.276794:0.447871:0.271078:0.447871:0.000000
p x dx:@0.280864:0.453124:0.329184:0.453124:0.329184:0.437689:0.280864:0.437689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.290056:0.456297:0.295593:0.456297:0.295593:0.447298:0.290056:0.447298:0.000000
( )    :@0.295554:0.453124:0.352359:0.453124:0.352359:0.437412:0.295554:0.437412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.333087:0.452570:0.348420:0.452570:0.348420:0.438854:0.333087:0.438854:0.000000
^:@0.352260:0.458820:0.370383:0.458820:0.370383:0.434746:0.352260:0.434746:0.000000
n:@0.359807:0.438969:0.365852:0.438969:0.365852:0.429146:0.359807:0.429146:0.000000
j:@0.353798:0.466044:0.356106:0.466044:0.356106:0.456222:0.353798:0.456222:0.000000
5:@0.356059:0.465691:0.365817:0.465691:0.365817:0.456963:0.356059:0.456963:0.000000
1:@0.365758:0.466044:0.371474:0.466044:0.371474:0.456046:0.365758:0.456046:0.000000
( (    1) )    :@0.371402:0.453124:0.481754:0.453124:0.481754:0.437412:0.371402:0.437412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b 2:@0.376207:0.452570:0.417310:0.452570:0.417310:0.438854:0.376207:0.438854:0.000000:0.000000:0.000000
j:@0.394467:0.453124:0.398093:0.453124:0.398093:0.437689:0.394467:0.437689:0.000000
h h:@0.434871:0.453124:0.458597:0.453124:0.458597:0.437689:0.434871:0.437689:0.000000:0.000000:0.000000
5 b:@0.462481:0.452570:0.492927:0.452570:0.492927:0.438854:0.462481:0.438854:0.000000:0.000000:0.000000
h:@0.492835:0.453124:0.502333:0.453124:0.502333:0.437689:0.492835:0.437689:0.000000
2:@0.502243:0.447060:0.507480:0.447060:0.507480:0.437900:0.502243:0.437900:0.000000
 :@0.507432:0.453124:0.511463:0.453124:0.511463:0.437412:0.507432:0.437412:0.000000
^:@0.511383:0.458820:0.529506:0.458820:0.529506:0.434746:0.511383:0.434746:0.000000
n:@0.518930:0.438969:0.524974:0.438969:0.524974:0.429146:0.518930:0.429146:0.000000
j:@0.512921:0.466044:0.515228:0.466044:0.515228:0.456222:0.512921:0.456222:0.000000
5:@0.515181:0.465691:0.524939:0.465691:0.524939:0.456963:0.515181:0.456963:0.000000
1:@0.524880:0.466044:0.530597:0.466044:0.530597:0.456046:0.524880:0.456046:0.000000
(    1):@0.530525:0.453124:0.578126:0.453124:0.578126:0.437412:0.530525:0.437412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.537630:0.453124:0.541256:0.453124:0.541256:0.437689:0.537630:0.437689:0.000000
2:@0.545140:0.452570:0.560473:0.452570:0.560473:0.438854:0.545140:0.438854:0.000000
5 b:@0.259809:0.489972:0.290255:0.489972:0.290255:0.476257:0.259809:0.476257:0.000000:0.000000:0.000000
 :@0.275050:0.490527:0.279082:0.490527:0.279082:0.474814:0.275050:0.474814:0.000000
h:@0.290163:0.490527:0.299661:0.490527:0.299661:0.475092:0.290163:0.475092:0.000000
2:@0.299579:0.484461:0.304816:0.484461:0.304816:0.475300:0.299579:0.475300:0.000000
 :@0.304768:0.490524:0.308799:0.490524:0.308799:0.474812:0.304768:0.474812:0.000000
n n   :@0.308629:0.481039:0.352327:0.481039:0.352327:0.465603:0.308629:0.465603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.317924:0.481039:0.322802:0.481039:0.322802:0.465326:0.317924:0.465326:0.000000
2:@0.333865:0.480484:0.349198:0.480484:0.349198:0.466768:0.333865:0.466768:0.000000
1):@0.350947:0.481039:0.364623:0.481039:0.364623:0.465326:0.350947:0.465326:0.000000:0.000000
2:@0.332135:0.497431:0.341117:0.497431:0.341117:0.481718:0.332135:0.481718:0.000000
5 b:@0.364458:0.489970:0.394903:0.489970:0.394903:0.476254:0.364458:0.476254:0.000000:0.000000:0.000000
 :@0.379699:0.490524:0.383730:0.490524:0.383730:0.474812:0.379699:0.474812:0.000000
1 2:@0.394798:0.491227:0.416221:0.491227:0.416221:0.467153:0.394798:0.467153:0.000000:0.000000:0.000000
b:@0.400862:0.481890:0.410121:0.481890:0.410121:0.466454:0.400862:0.466454:0.000000
n:@0.400733:0.498282:0.410232:0.498282:0.410232:0.482846:0.400733:0.482846:0.000000
2:@0.418982:0.484267:0.426161:0.484267:0.426161:0.462841:0.418982:0.462841:0.000000
 :@0.426077:0.489970:0.430679:0.489970:0.430679:0.476254:0.426077:0.476254:0.000000
n n   :@0.430680:0.481039:0.474379:0.481039:0.474379:0.465603:0.430680:0.465603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.439976:0.481039:0.444854:0.481039:0.444854:0.465326:0.439976:0.465326:0.000000
2:@0.455917:0.480484:0.471250:0.480484:0.471250:0.466768:0.455917:0.466768:0.000000
1):@0.472999:0.481039:0.486675:0.481039:0.486675:0.465326:0.472999:0.465326:0.000000:0.000000
2:@0.454186:0.497431:0.463169:0.497431:0.463169:0.481718:0.454186:0.481718:0.000000
      1    .:@0.486510:0.490524:0.581294:0.490524:0.581294:0.474812:0.486510:0.474812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 b:@0.490467:0.489970:0.520913:0.489970:0.520913:0.476254:0.490467:0.476254:0.000000:0.000000:0.000000
1:@0.524751:0.492579:0.530324:0.492579:0.530324:0.468505:0.524751:0.468505:0.000000
2:@0.543045:0.489970:0.558378:0.489970:0.558378:0.476254:0.543045:0.476254:0.000000
1:@0.562997:0.483242:0.571979:0.483242:0.571979:0.467530:0.562997:0.467530:0.000000
n:@0.562739:0.499635:0.572237:0.499635:0.572237:0.484199:0.562739:0.484199:0.000000
2:@0.572644:0.492579:0.578216:0.492579:0.578216:0.468505:0.572644:0.468505:0.000000
Para   suficientemente grande,   es suficientemente pequeño. Así,:@0.134752:0.527927:0.610140:0.527924:0.610140:0.512212:0.134752:0.512214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.168290:0.527927:0.177788:0.527927:0.177788:0.512492:0.168290:0.512492:0.000000
1:@0.362241:0.520644:0.371223:0.520644:0.371223:0.504931:0.362241:0.504931:0.000000
n:@0.361983:0.537036:0.371481:0.537036:0.371481:0.521600:0.361983:0.521600:0.000000
 :@0.371886:0.527370:0.376488:0.527370:0.376488:0.513654:0.371886:0.513654:0.000000
n:@0.411716:0.577804:0.417760:0.577804:0.417760:0.567982:0.411716:0.567982:0.000000
→:@0.417713:0.577540:0.429275:0.577540:0.429275:0.566729:0.417713:0.566729:0.000000
`:@0.429216:0.577451:0.437029:0.577451:0.437029:0.568723:0.429216:0.568723:0.000000
 :@0.295044:0.561078:0.299075:0.561078:0.299075:0.545366:0.295044:0.545366:0.000000
lím :@0.295044:0.571479:0.321679:0.571479:0.321679:0.555767:0.295044:0.555767:0.000000:0.000000:0.000000:0.000000
#:@0.321576:0.578445:0.328088:0.578445:0.328088:0.555976:0.321576:0.555976:0.000000
b:@0.329665:0.563811:0.335557:0.563811:0.335557:0.553989:0.329665:0.553989:0.000000
0:@0.329665:0.581462:0.335381:0.581462:0.335381:0.571463:0.329665:0.571463:0.000000
p x dx:@0.339449:0.571479:0.387771:0.571479:0.387771:0.556044:0.339449:0.556044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.348643:0.574652:0.354180:0.574652:0.354180:0.565653:0.348643:0.565653:0.000000
( )  :@0.354141:0.571479:0.391747:0.571479:0.391747:0.555767:0.354141:0.555767:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.391674:0.570925:0.411517:0.570925:0.411517:0.557209:0.391674:0.557209:0.000000:0.000000
lím      1   :@0.411425:0.571479:0.508858:0.571479:0.508858:0.555767:0.411425:0.555767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.437950:0.570925:0.449196:0.570925:0.449196:0.557209:0.437950:0.557209:0.000000
b:@0.453092:0.564197:0.462351:0.564197:0.462351:0.548762:0.453092:0.548762:0.000000
2:@0.462148:0.558133:0.467385:0.558133:0.467385:0.548973:0.462148:0.548973:0.000000
x:@0.456511:0.580587:0.463966:0.580587:0.463966:0.565152:0.456511:0.565152:0.000000
1:@0.471290:0.573534:0.476863:0.573534:0.476863:0.549460:0.471290:0.549460:0.000000
2:@0.489585:0.570925:0.504919:0.570925:0.504919:0.557209:0.489585:0.557209:0.000000
1:@0.509537:0.564197:0.518520:0.564197:0.518520:0.548485:0.509537:0.548485:0.000000
2:@0.509537:0.580589:0.518520:0.580589:0.518520:0.564877:0.509537:0.564877:0.000000
2 :@0.519182:0.573534:0.530905:0.573534:0.530905:0.549460:0.519182:0.549460:0.000000:0.000000
5:@0.530779:0.571984:0.551688:0.571984:0.551688:0.553280:0.530779:0.553280:0.000000
b:@0.551562:0.570925:0.562809:0.570925:0.562809:0.557209:0.551562:0.557209:0.000000
 :@0.562717:0.571479:0.566748:0.571479:0.566748:0.555767:0.562717:0.555767:0.000000
b:@0.566715:0.564197:0.575974:0.564197:0.575974:0.548762:0.566715:0.548762:0.000000
2:@0.575771:0.558133:0.581008:0.558133:0.581008:0.548973:0.575771:0.548973:0.000000
2:@0.569371:0.580587:0.578353:0.580587:0.578353:0.564874:0.569371:0.564874:0.000000
.:@0.580967:0.571476:0.584851:0.571476:0.584851:0.554792:0.580967:0.554792:0.000000
n:@0.295558:0.576397:0.301602:0.576397:0.301602:0.566575:0.295558:0.566575:0.000000
→:@0.301555:0.576133:0.313117:0.576133:0.313117:0.565322:0.301555:0.565322:0.000000
`:@0.313058:0.576044:0.320871:0.576044:0.320871:0.567316:0.313058:0.567316:0.000000
Puesto que el límite existe, la integral definida de   es::@0.134754:0.602726:0.518434:0.602726:0.518434:0.587013:0.134754:0.587013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.491008:0.602726:0.495701:0.602726:0.495701:0.587290:0.491008:0.587290:0.000000
#:@0.269187:0.647093:0.275700:0.647093:0.275700:0.624624:0.269187:0.624624:0.000000
b:@0.277274:0.632458:0.283166:0.632458:0.283166:0.622635:0.277274:0.622635:0.000000
0:@0.277274:0.650108:0.282991:0.650108:0.282991:0.640109:0.277274:0.640109:0.000000
f x dx:@0.287060:0.640127:0.325311:0.640127:0.325311:0.624692:0.287060:0.624692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )    :@0.291681:0.640127:0.348485:0.640127:0.348485:0.624414:0.291681:0.624414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.329213:0.639572:0.344546:0.639572:0.344546:0.625857:0.329213:0.625857:0.000000
#:@0.348395:0.647093:0.354908:0.647093:0.354908:0.624624:0.348395:0.624624:0.000000
b:@0.356482:0.632458:0.362374:0.632458:0.362374:0.622635:0.356482:0.622635:0.000000
0:@0.356482:0.650108:0.362199:0.650108:0.362199:0.640109:0.356482:0.640109:0.000000
b:@0.366267:0.639572:0.377514:0.639572:0.377514:0.625857:0.366267:0.625857:0.000000
xdx:@0.377421:0.640127:0.401156:0.640127:0.401156:0.624692:0.377421:0.624692:0.000000:0.000000:0.000000
   lím:@0.401093:0.640127:0.447906:0.638762:0.447906:0.623049:0.401093:0.624414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.405051:0.639572:0.420384:0.639572:0.420384:0.625857:0.405051:0.625857:0.000000
n:@0.424240:0.643279:0.430284:0.643279:0.430284:0.633456:0.424240:0.633456:0.000000
→:@0.430237:0.643014:0.441798:0.643014:0.441798:0.632203:0.430237:0.632203:0.000000
`:@0.441740:0.642926:0.449553:0.642926:0.449553:0.634198:0.441740:0.634198:0.000000
#:@0.449474:0.647093:0.455987:0.647093:0.455987:0.624624:0.449474:0.624624:0.000000
b:@0.457562:0.632458:0.463454:0.632458:0.463454:0.622635:0.457562:0.622635:0.000000
0:@0.457562:0.650108:0.463278:0.650108:0.463278:0.640109:0.457562:0.640109:0.000000
p x dx:@0.467348:0.640127:0.515668:0.640127:0.515668:0.624692:0.467348:0.624692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.476541:0.643299:0.482079:0.643299:0.482079:0.634300:0.476541:0.634300:0.000000
( )  :@0.482038:0.640127:0.519644:0.640127:0.519644:0.624414:0.482038:0.624414:0.000000:0.000000:0.000000:0.000000:0.000000
5 b:@0.519571:0.639572:0.550568:0.639572:0.550568:0.625857:0.519571:0.625857:0.000000:0.000000:0.000000
  .:@0.550476:0.640127:0.571911:0.640123:0.571911:0.624410:0.550476:0.624414:0.000000:0.000000:0.000000
b:@0.554457:0.632845:0.563716:0.632845:0.563716:0.617410:0.554457:0.617410:0.000000
2:@0.563512:0.626781:0.568749:0.626781:0.568749:0.617620:0.563512:0.617620:0.000000
2:@0.557111:0.649235:0.566094:0.649235:0.566094:0.633522:0.557111:0.633522:0.000000
Escribimos :@0.134757:0.677526:0.216846:0.677526:0.216846:0.661813:0.134757:0.661813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.216698:0.680372:0.223211:0.680372:0.223211:0.657903:0.216698:0.657903:0.000000
b:@0.224785:0.665738:0.230677:0.665738:0.230677:0.655915:0.224785:0.655915:0.000000
0:@0.224785:0.683388:0.230501:0.683388:0.230501:0.673389:0.224785:0.673389:0.000000
f x dx :@0.234571:0.677527:0.276061:0.677527:0.276061:0.662092:0.234571:0.662092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.239191:0.677527:0.256255:0.677527:0.256255:0.661814:0.239191:0.661814:0.000000:0.000000:0.000000
5:@0.276006:0.676972:0.291339:0.676972:0.291339:0.663257:0.276006:0.663257:0.000000
 :@0.291247:0.677527:0.295278:0.677527:0.295278:0.661814:0.291247:0.661814:0.000000
#:@0.295201:0.680964:0.301714:0.680964:0.301714:0.658495:0.295201:0.658495:0.000000
b:@0.303289:0.666329:0.309181:0.666329:0.309181:0.656506:0.303289:0.656506:0.000000
0:@0.303289:0.683979:0.309005:0.683979:0.309005:0.673980:0.303289:0.673980:0.000000
b:@0.313075:0.676972:0.324322:0.676972:0.324322:0.663257:0.313075:0.663257:0.000000
xdx:@0.324230:0.677527:0.347964:0.677527:0.347964:0.662092:0.324230:0.662092:0.000000:0.000000:0.000000
 :@0.347901:0.677527:0.351932:0.677527:0.351932:0.661814:0.347901:0.661814:0.000000
5 b:@0.351859:0.676972:0.382857:0.676972:0.382857:0.663257:0.351859:0.663257:0.000000:0.000000:0.000000
   |  :@0.382765:0.677527:0.417924:0.677527:0.417924:0.661814:0.382765:0.661814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.386759:0.670245:0.396018:0.670245:0.396018:0.654810:0.386759:0.654810:0.000000
2:@0.395814:0.664181:0.401051:0.664181:0.401051:0.655020:0.395814:0.655020:0.000000
2:@0.389413:0.686635:0.398396:0.686635:0.398396:0.670922:0.389413:0.670922:0.000000
b:@0.407673:0.669490:0.413565:0.669490:0.413565:0.659667:0.407673:0.659667:0.000000
0:@0.407673:0.683354:0.413389:0.683354:0.413389:0.673355:0.407673:0.673355:0.000000
5 b:@0.417851:0.676972:0.448848:0.676972:0.448848:0.663257:0.417851:0.663257:0.000000:0.000000:0.000000
  .:@0.448756:0.677527:0.470201:0.677523:0.470201:0.661810:0.448756:0.661814:0.000000:0.000000:0.000000
b:@0.452746:0.670245:0.462004:0.670245:0.462004:0.654810:0.452746:0.654810:0.000000
2:@0.461802:0.664181:0.467039:0.664181:0.467039:0.655020:0.461802:0.655020:0.000000
2:@0.455401:0.686635:0.464384:0.686635:0.464384:0.670922:0.455401:0.670922:0.000000
A la integral indefinida de la función   la designamos con:@0.134765:0.714926:0.544485:0.714926:0.544485:0.699213:0.134765:0.699213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.399425:0.714926:0.404119:0.714926:0.404119:0.699490:0.399425:0.699490:0.000000
F x:@0.134765:0.752328:0.154995:0.752328:0.154995:0.736893:0.134765:0.736893:0.000000:0.000000:0.000000
( )   :@0.142736:0.752328:0.182937:0.752328:0.182937:0.736615:0.142736:0.736615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.163665:0.751773:0.178998:0.751773:0.178998:0.738058:0.163665:0.738058:0.000000
b:@0.184426:0.743798:0.195673:0.743798:0.195673:0.730082:0.184426:0.730082:0.000000
2:@0.185568:0.760745:0.194550:0.760745:0.194550:0.745032:0.185568:0.745032:0.000000
x:@0.197164:0.752327:0.204619:0.752327:0.204619:0.736892:0.197164:0.736892:0.000000
2:@0.204541:0.746264:0.209777:0.746264:0.209777:0.737104:0.204541:0.737104:0.000000
    ,    :@0.209730:0.752328:0.259411:0.752328:0.259411:0.736615:0.209730:0.736615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.213687:0.751773:0.229021:0.751773:0.229021:0.738058:0.213687:0.738058:0.000000
k:@0.232886:0.752328:0.240451:0.752328:0.240451:0.736893:0.232886:0.736893:0.000000
;:@0.259300:0.751773:0.271578:0.751773:0.271578:0.738058:0.259300:0.738058:0.000000
x:@0.271486:0.752328:0.278941:0.752328:0.278941:0.736893:0.271486:0.736893:0.000000
    , siendo      . Resulta, entonces, que:@0.278867:0.752328:0.586827:0.752328:0.586827:0.736615:0.278867:0.736615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.282820:0.752038:0.297456:0.752038:0.297456:0.738628:0.282820:0.738628:0.000000
R:@0.301326:0.751468:0.314616:0.751468:0.314616:0.738571:0.301326:0.738571:0.000000
k:@0.374292:0.752328:0.381858:0.752328:0.381858:0.736893:0.374292:0.736893:0.000000
[:@0.385725:0.752038:0.400361:0.752038:0.400361:0.738628:0.385725:0.738628:0.000000
R:@0.404231:0.751468:0.417521:0.751468:0.417521:0.738571:0.404231:0.738571:0.000000
F b:@0.134767:0.789731:0.156801:0.789731:0.156801:0.774295:0.134767:0.774295:0.000000:0.000000:0.000000
( )    (0)   :@0.142737:0.789731:0.234350:0.789731:0.234350:0.774018:0.142737:0.774018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.165470:0.789176:0.180804:0.789176:0.180804:0.775460:0.165470:0.775460:0.000000
F:@0.184669:0.789731:0.192713:0.789731:0.192713:0.774295:0.184669:0.774295:0.000000
5:@0.215078:0.789176:0.230411:0.789176:0.230411:0.775460:0.215078:0.775460:0.000000
b:@0.235846:0.781198:0.247093:0.781198:0.247093:0.767482:0.235846:0.767482:0.000000
2:@0.236988:0.798145:0.245970:0.798145:0.245970:0.782432:0.236988:0.782432:0.000000
b:@0.248584:0.789727:0.257843:0.789727:0.257843:0.774292:0.248584:0.774292:0.000000
2:@0.257764:0.783664:0.263001:0.783664:0.263001:0.774504:0.257764:0.774504:0.000000
     :@0.262953:0.789728:0.297633:0.789728:0.297633:0.774015:0.262953:0.774015:0.000000:0.000000:0.000000:0.000000:0.000000
1 2 :@0.266911:0.789173:0.317402:0.789173:0.317402:0.775458:0.266911:0.775458:0.000000:0.000000:0.000000:0.000000
k:@0.286110:0.789728:0.293675:0.789728:0.293675:0.774293:0.286110:0.774293:0.000000
1:@0.317297:0.791783:0.322869:0.791783:0.322869:0.767709:0.317297:0.767709:0.000000
b:@0.324313:0.781198:0.335560:0.781198:0.335560:0.767482:0.324313:0.767482:0.000000
2:@0.325454:0.798145:0.334437:0.798145:0.334437:0.782432:0.325454:0.782432:0.000000
   0        :@0.337051:0.789727:0.431748:0.789728:0.431748:0.774015:0.337051:0.774014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.339168:0.789172:0.354501:0.789172:0.354501:0.775457:0.339168:0.775457:0.000000
2:@0.367241:0.783664:0.372477:0.783664:0.372477:0.774504:0.367241:0.774504:0.000000
1:@0.376387:0.789173:0.391721:0.789173:0.391721:0.775458:0.376387:0.775458:0.000000
k:@0.395586:0.789728:0.403151:0.789728:0.403151:0.774293:0.395586:0.774293:0.000000
2:@0.403071:0.791783:0.408644:0.791783:0.408644:0.767709:0.403071:0.767709:0.000000
5 b  5 b  :@0.412476:0.789173:0.510866:0.789170:0.510866:0.775454:0.412476:0.775458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.442861:0.782446:0.452120:0.782446:0.452120:0.767011:0.442861:0.767011:0.000000
2:@0.451917:0.776382:0.457154:0.776382:0.457154:0.767222:0.451917:0.767222:0.000000
2:@0.445517:0.798836:0.454499:0.798836:0.454499:0.783123:0.445517:0.783123:0.000000
 :@0.476864:0.789724:0.480895:0.789724:0.480895:0.774012:0.476864:0.774012:0.000000
x:@0.492914:0.782446:0.500369:0.782446:0.500369:0.767011:0.492914:0.767011:0.000000
2:@0.500166:0.776382:0.505403:0.776382:0.505403:0.767222:0.500166:0.767222:0.000000
2:@0.494667:0.798836:0.503650:0.798836:0.503650:0.783123:0.494667:0.783123:0.000000
| .:@0.510774:0.789724:0.524012:0.789728:0.524012:0.774015:0.510774:0.774012:0.000000:0.000000:0.000000
b:@0.514591:0.781691:0.520483:0.781691:0.520483:0.771868:0.514591:0.771868:0.000000
0:@0.514591:0.795555:0.520307:0.795555:0.520307:0.785556:0.514591:0.785556:0.000000
Conclusión:@0.073089:0.827131:0.157869:0.827131:0.157869:0.810461:0.073089:0.810461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a S:@0.073089:0.864533:0.095141:0.864533:0.095141:0.849098:0.073089:0.849098:0.000000:0.000000:0.000000
( )   :@0.082275:0.864533:0.123083:0.864533:0.123083:0.848821:0.082275:0.848821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.103811:0.863978:0.119144:0.863978:0.119144:0.850263:0.103811:0.850263:0.000000
1:@0.125716:0.857247:0.134699:0.857247:0.134699:0.841535:0.125716:0.841535:0.000000
2:@0.125716:0.873640:0.134699:0.873640:0.134699:0.857927:0.125716:0.857927:0.000000
bc:@0.137312:0.864528:0.154155:0.864528:0.154155:0.849093:0.137312:0.849093:0.000000:0.000000
   :@0.154100:0.864528:0.177330:0.864528:0.177330:0.848815:0.154100:0.848815:0.000000:0.000000:0.000000
5:@0.158057:0.863973:0.173391:0.863973:0.173391:0.850258:0.158057:0.850258:0.000000
#:@0.177234:0.867375:0.183747:0.867375:0.183747:0.844906:0.177234:0.844906:0.000000
b:@0.185322:0.852740:0.191214:0.852740:0.191214:0.842918:0.185322:0.842918:0.000000
0:@0.185322:0.870391:0.191038:0.870391:0.191038:0.860392:0.185322:0.860392:0.000000
f x dx :@0.195108:0.864529:0.236598:0.864529:0.236598:0.849094:0.195108:0.849094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.199728:0.864529:0.216791:0.864529:0.216791:0.848817:0.199728:0.848817:0.000000:0.000000:0.000000
5:@0.236542:0.863975:0.251876:0.863975:0.251876:0.850259:0.236542:0.850259:0.000000
 :@0.251784:0.864529:0.255815:0.864529:0.255815:0.848817:0.251784:0.848817:0.000000
#:@0.255738:0.867375:0.262251:0.867375:0.262251:0.844906:0.255738:0.844906:0.000000
b:@0.263825:0.852740:0.269717:0.852740:0.269717:0.842918:0.263825:0.842918:0.000000
0:@0.263825:0.870391:0.269542:0.870391:0.269542:0.860392:0.263825:0.860392:0.000000
c:@0.276975:0.857247:0.284632:0.857247:0.284632:0.841812:0.276975:0.841812:0.000000
b:@0.276183:0.873640:0.285442:0.873640:0.285442:0.858204:0.276183:0.858204:0.000000
xdx:@0.287909:0.864528:0.311643:0.864528:0.311643:0.849093:0.287909:0.849093:0.000000:0.000000:0.000000
   :@0.311580:0.864528:0.334810:0.864528:0.334810:0.848815:0.311580:0.848815:0.000000:0.000000:0.000000
5    :@0.315538:0.863973:0.372428:0.863971:0.372428:0.850255:0.315538:0.850258:0.000000:0.000000:0.000000:0.000000:0.000000
c x:@0.338087:0.857247:0.361931:0.857247:0.361931:0.841812:0.338087:0.841812:0.000000:0.000000:0.000000
b:@0.337295:0.873640:0.346554:0.873640:0.346554:0.858204:0.337295:0.858204:0.000000
2:@0.361728:0.851184:0.366965:0.851184:0.366965:0.842023:0.361728:0.842023:0.000000
2:@0.356230:0.873637:0.365212:0.873637:0.365212:0.857924:0.356230:0.857924:0.000000
| .:@0.372336:0.864526:0.385574:0.864529:0.385574:0.848817:0.372336:0.848813:0.000000:0.000000:0.000000
b:@0.376153:0.856491:0.382045:0.856491:0.382045:0.846668:0.376153:0.846668:0.000000
0:@0.376153:0.870355:0.381869:0.870355:0.381869:0.860356:0.376153:0.860356:0.000000
Si  ( )   6  :@0.073093:0.901932:0.150164:0.901932:0.150164:0.886219:0.073093:0.886219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f t:@0.089273:0.901932:0.104072:0.901932:0.104072:0.886497:0.089273:0.886497:0.000000:0.000000:0.000000
5:@0.112742:0.901377:0.128075:0.901377:0.128075:0.887662:0.112742:0.887662:0.000000
t:@0.140831:0.901932:0.146206:0.901932:0.146206:0.886497:0.140831:0.886497:0.000000
2 :@0.150090:0.901377:0.169933:0.901377:0.169933:0.887662:0.150090:0.887662:0.000000:0.000000
1:@0.172552:0.894647:0.181535:0.894647:0.181535:0.878935:0.172552:0.878935:0.000000
2:@0.172552:0.911040:0.181535:0.911040:0.181535:0.895327:0.172552:0.895327:0.000000
,     [0, 4], obtenemos: :@0.184149:0.901928:0.352133:0.901930:0.352133:0.886217:0.184149:0.886215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.191217:0.901928:0.196592:0.901928:0.196592:0.886493:0.191217:0.886493:0.000000
[:@0.200476:0.901640:0.215112:0.901640:0.215112:0.888230:0.200476:0.888230:0.000000
F x:@0.073086:0.939332:0.093316:0.939332:0.093316:0.923897:0.073086:0.923897:0.000000:0.000000:0.000000
( )    (c)   :@0.081056:0.939332:0.170019:0.939332:0.170019:0.923620:0.081056:0.923620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.101985:0.938778:0.117319:0.938778:0.117319:0.925062:0.101985:0.925062:0.000000
F:@0.121184:0.939332:0.129228:0.939332:0.129228:0.923897:0.121184:0.923897:0.000000
5:@0.150746:0.938778:0.166079:0.938778:0.166079:0.925062:0.150746:0.925062:0.000000
#:@0.169962:0.942176:0.176475:0.942176:0.176475:0.919707:0.169962:0.919707:0.000000
x:@0.178049:0.927541:0.182793:0.927541:0.182793:0.917719:0.178049:0.917719:0.000000
0:@0.178049:0.945192:0.183765:0.945192:0.183765:0.935193:0.178049:0.935193:0.000000
f t dt:@0.187835:0.939330:0.221925:0.939330:0.221925:0.923895:0.187835:0.923895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( )    :@0.192455:0.939330:0.245100:0.939330:0.245100:0.923618:0.192455:0.923618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.225828:0.938776:0.241161:0.938776:0.241161:0.925060:0.225828:0.925060:0.000000
#:@0.245008:0.942176:0.251521:0.942176:0.251521:0.919707:0.245008:0.919707:0.000000
x:@0.253096:0.927541:0.257840:0.927541:0.257840:0.917719:0.253096:0.917719:0.000000
0:@0.253096:0.945192:0.258812:0.945192:0.258812:0.935193:0.253096:0.935193:0.000000
1:@0.262882:0.941385:0.268454:0.941385:0.268454:0.917311:0.262882:0.917311:0.000000
6    :@0.268328:0.939330:0.305769:0.939330:0.305769:0.923618:0.268328:0.923618:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.277238:0.939330:0.282612:0.939330:0.282612:0.923895:0.277238:0.923895:0.000000
2:@0.286496:0.938776:0.301830:0.938776:0.301830:0.925060:0.286496:0.925060:0.000000
1:@0.308383:0.932048:0.317365:0.932048:0.317365:0.916335:0.308383:0.916335:0.000000
2:@0.308383:0.948440:0.317365:0.948440:0.317365:0.932728:0.308383:0.932728:0.000000
2:@0.319976:0.941385:0.325548:0.941385:0.325548:0.917311:0.319976:0.917311:0.000000
 :@0.325423:0.939835:0.331698:0.939835:0.331698:0.921131:0.325423:0.921131:0.000000
dt:@0.331571:0.939330:0.346131:0.939330:0.346131:0.923895:0.331571:0.923895:0.000000:0.000000
   3    :@0.346076:0.939330:0.413925:0.939330:0.413925:0.923618:0.346076:0.923618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.350033:0.938776:0.365366:0.938776:0.365366:0.925060:0.350033:0.925060:0.000000
x:@0.378123:0.939330:0.385578:0.939330:0.385578:0.923895:0.378123:0.923895:0.000000
2:@0.385506:0.933266:0.390742:0.933266:0.390742:0.924106:0.385506:0.924106:0.000000
2:@0.394652:0.938776:0.409986:0.938776:0.409986:0.925060:0.394652:0.925060:0.000000
1:@0.416539:0.932048:0.425521:0.932048:0.425521:0.916335:0.416539:0.916335:0.000000
2:@0.416539:0.948440:0.425521:0.948440:0.425521:0.932728:0.416539:0.932728:0.000000
x:@0.428135:0.939329:0.435590:0.939329:0.435590:0.923894:0.428135:0.923894:0.000000
    3    :@0.435516:0.939329:0.509022:0.939330:0.509022:0.923618:0.435516:0.923616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.439474:0.938774:0.454807:0.938774:0.454807:0.925059:0.439474:0.925059:0.000000
1:@0.458663:0.941385:0.464235:0.941385:0.464235:0.917311:0.458663:0.917311:0.000000
c:@0.473017:0.939330:0.480674:0.939330:0.480674:0.923895:0.473017:0.923895:0.000000
2:@0.480601:0.933266:0.485838:0.933266:0.485838:0.924106:0.480601:0.924106:0.000000
2:@0.489749:0.938776:0.505082:0.938776:0.505082:0.925060:0.489749:0.925060:0.000000
1:@0.511635:0.932048:0.520618:0.932048:0.520618:0.916335:0.511635:0.916335:0.000000
2:@0.511635:0.948440:0.520618:0.948440:0.520618:0.932728:0.511635:0.932728:0.000000
2:@0.523229:0.941385:0.528801:0.941385:0.528801:0.917311:0.523229:0.917311:0.000000
c x c:@0.528674:0.939330:0.565433:0.939330:0.565433:0.923895:0.528674:0.923895:0.000000:0.000000:0.000000:0.000000:0.000000
,  ,     [0, 4].:@0.536258:0.939330:0.625563:0.939330:0.625563:0.923618:0.536258:0.923618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.569341:0.939040:0.583977:0.939040:0.583977:0.925630:0.569341:0.925630:0.000000
La integral definida nos :@0.744288:0.182034:0.901573:0.182034:0.901573:0.167750:0.744288:0.167750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sirve para calcular el área :@0.744288:0.197163:0.911726:0.197163:0.911726:0.182879:0.744288:0.182879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bajo una curva:@0.744288:0.212292:0.842459:0.212292:0.842459:0.198008:0.744288:0.198008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
#:@0.744288:0.237102:0.749405:0.237102:0.749405:0.219448:0.744288:0.219448:0.000000
b:@0.752086:0.227635:0.757978:0.227635:0.757978:0.217813:0.752086:0.217813:0.000000
0:@0.752086:0.240246:0.757802:0.240246:0.757802:0.230247:0.752086:0.230247:0.000000
f x dx:@0.758244:0.235798:0.793017:0.235798:0.793017:0.221766:0.758244:0.221766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) .:@0.762444:0.235798:0.795879:0.235798:0.795879:0.221514:0.762444:0.221514:0.000000:0.000000:0.000000:0.000000:0.000000
La integral definida de la :@0.744288:0.258076:0.909354:0.258076:0.909354:0.243792:0.744288:0.243792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función  ( ) en el intervalo :@0.744288:0.273205:0.919177:0.273205:0.919177:0.258920:0.744288:0.258920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.798439:0.273205:0.813784:0.273205:0.813784:0.259173:0.798439:0.259173:0.000000:0.000000:0.000000
[ ,  ] representa el área :@0.744288:0.288334:0.900380:0.288334:0.900380:0.274049:0.744288:0.274049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.748656:0.288334:0.771849:0.288334:0.771849:0.274302:0.748656:0.274302:0.000000:0.000000:0.000000
de la región del plano :@0.744271:0.303463:0.891767:0.303463:0.891767:0.289178:0.744271:0.289178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correspondiente entre la :@0.744271:0.318592:0.910481:0.318592:0.910481:0.304307:0.744271:0.304307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfica de la función  ( ), :@0.744271:0.333720:0.907427:0.333720:0.907427:0.319436:0.744271:0.319436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.881205:0.333720:0.896550:0.333720:0.896550:0.319688:0.881205:0.319688:0.000000:0.000000:0.000000
el eje de abscisas   = 0 y :@0.744271:0.348849:0.906906:0.348849:0.906906:0.334565:0.744271:0.334565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.860354:0.348849:0.867148:0.348849:0.867148:0.334817:0.860354:0.334817:0.000000
las rectas   =   y   =  .:@0.744271:0.363978:0.889387:0.363978:0.889387:0.349694:0.744271:0.349694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.807709:0.363978:0.814487:0.363978:0.814487:0.349946:0.807709:0.349946:0.000000
a x:@0.831505:0.363978:0.861107:0.363978:0.861107:0.349946:0.831505:0.349946:0.000000:0.000000:0.000000
b:@0.878126:0.363978:0.886543:0.363978:0.886543:0.349946:0.878126:0.349946:0.000000
0:@0.788730:0.477803:0.795169:0.477803:0.795169:0.466539:0.788730:0.466539:0.000000
x:@0.904714:0.478969:0.910375:0.478969:0.910375:0.467706:0.904714:0.467706:0.000000
x = a x = b:@0.811023:0.478874:0.858135:0.478874:0.858135:0.469557:0.811023:0.469557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y = :@0.882035:0.462558:0.897169:0.462558:0.897169:0.453241:0.882035:0.453241:0.000000:0.000000:0.000000:0.000000
0:@0.897169:0.462558:0.902591:0.462558:0.902591:0.453073:0.897169:0.453073:0.000000
y:@0.786369:0.384487:0.792174:0.384487:0.792174:0.373224:0.786369:0.373224:0.000000
f x:@0.820874:0.413579:0.832437:0.413579:0.832437:0.403097:0.820874:0.403097:0.000000:0.000000:0.000000
( ):@0.824062:0.413579:0.835749:0.413579:0.835749:0.402909:0.824062:0.402909:0.000000:0.000000:0.000000
Competencia :@0.740294:0.138751:0.848854:0.138751:0.848854:0.121804:0.740294:0.121804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.155393:0.837769:0.155393:0.837769:0.138446:0.740294:0.138446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen muchos :@0.744288:0.610091:0.851780:0.610091:0.851780:0.595807:0.744288:0.595807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
softwares:@0.744288:0.625220:0.804565:0.625220:0.804565:0.611188:0.744288:0.611188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 libres que :@0.804547:0.625220:0.876330:0.625220:0.876330:0.610936:0.804547:0.610936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permiten obtener :@0.744288:0.640349:0.865699:0.640349:0.865699:0.626065:0.744288:0.626065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculos matemáticos, :@0.744288:0.655478:0.893708:0.655478:0.893708:0.641193:0.744288:0.641193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por ejemplo, el cálculo :@0.744288:0.670607:0.897430:0.670607:0.897430:0.656322:0.744288:0.656322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la integral definida. :@0.744288:0.685736:0.893641:0.685736:0.893641:0.671451:0.744288:0.671451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El programa DERIVE for :@0.744288:0.700865:0.899460:0.700865:0.899460:0.686580:0.744288:0.686580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Windows permite realizar :@0.744288:0.715993:0.915576:0.715993:0.915576:0.701709:0.744288:0.701709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculos y manipulaciones :@0.744288:0.731122:0.920914:0.731122:0.920914:0.716838:0.744288:0.716838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas de carácter :@0.744288:0.746251:0.910134:0.746251:0.910134:0.731967:0.744288:0.731967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
general.:@0.744288:0.761380:0.796926:0.761380:0.796926:0.747096:0.744288:0.747096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Investiga su uso en :@0.744288:0.858146:0.873723:0.858146:0.873723:0.843862:0.744288:0.843862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fuentes confiables y :@0.744288:0.873275:0.879108:0.873275:0.879108:0.858991:0.744288:0.858991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
describe cómo calcular :@0.744288:0.888404:0.900710:0.888404:0.900710:0.874120:0.744288:0.874120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una integral con este :@0.744288:0.903533:0.886623:0.903533:0.886623:0.889249:0.744288:0.889249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
programa, incluyendo un :@0.744288:0.918662:0.914955:0.918662:0.914955:0.904378:0.744288:0.904378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo práctico.:@0.744288:0.933791:0.859138:0.933791:0.859138:0.919507:0.744288:0.919507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.741917:0.565965:0.850477:0.565965:0.850477:0.549018:0.741917:0.549018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
digital:@0.741917:0.582607:0.792609:0.582607:0.792609:0.565660:0.741917:0.565660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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