:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
3.:@0.096353:0.561237:0.110579:0.561237:0.110579:0.544336:0.096353:0.544336:0.000000:0.000000
  Un automóvil se desplaza por una carretera en línea recta. Su velocidad en fun-:@0.110579:0.561237:0.712540:0.561237:0.712540:0.544848:0.110579:0.544848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción del tiempo está dada por la ecuación:  ( ) = 4  + 2, medida en m/s.:@0.124842:0.577833:0.646123:0.577833:0.646123:0.561444:0.124842:0.561444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v t:@0.439900:0.577833:0.457903:0.577833:0.457903:0.561472:0.439900:0.561472:0.000000:0.000000:0.000000
t:@0.490834:0.577833:0.496215:0.577833:0.496215:0.561472:0.490834:0.561472:0.000000
 :@0.096353:0.601552:0.100389:0.601552:0.100389:0.585163:0.096353:0.585163:0.000000
Se sabe que en el instante   = 0, la posición inicial del automóvil es de 10 m :@0.124846:0.601552:0.716484:0.601552:0.716484:0.585163:0.124846:0.585163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.333576:0.601552:0.338957:0.601552:0.338957:0.585191:0.333576:0.585191:0.000000
respecto del punto de referencia; por ejemplo, una estación de peaje.:@0.124842:0.618148:0.632629:0.618148:0.632629:0.601759:0.124842:0.601759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.124842:0.641867:0.139750:0.641867:0.139750:0.624967:0.124842:0.624967:0.000000:0.000000
  ¿Cuál es la expresión para la posición s(t) del automóvil en función del tiempo?:@0.139750:0.641867:0.712448:0.641867:0.712448:0.625478:0.139750:0.625478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.124842:0.665586:0.141059:0.665586:0.141059:0.648686:0.124842:0.648686:0.000000:0.000000
  ¿Cuál es la posición del automóvil al cabo de 5 segundos?:@0.141059:0.665586:0.576983:0.665586:0.576983:0.649197:0.141059:0.649197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A los 5 segundos el auto se encuentra a 70 m del punto de partida.:@0.096353:0.915860:0.586816:0.915860:0.586816:0.899471:0.096353:0.899471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.102121:0.182907:0.152060:0.182907:0.152060:0.167329:0.102121:0.167329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para determinar la función de Costo :@0.154958:0.182907:0.384297:0.182907:0.384297:0.168008:0.154958:0.168008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
total integramos la función de Costo marginal. integración.:@0.102121:0.197995:0.482589:0.197995:0.482589:0.183096:0.102121:0.183096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cx:@0.104383:0.217235:0.131449:0.217235:0.131449:0.202510:0.104383:0.202510:0.000000:0.000000
x:@0.162579:0.217235:0.169296:0.217235:0.169296:0.202510:0.162579:0.202510:0.000000
Cx:@0.104383:0.239018:0.126938:0.239018:0.126938:0.224293:0.104383:0.224293:0.000000:0.000000
x:@0.174020:0.239018:0.180737:0.239018:0.180737:0.224293:0.174020:0.224293:0.000000
dx:@0.217936:0.239018:0.232942:0.239018:0.232942:0.224293:0.217936:0.224293:0.000000:0.000000
’( ) 6:@0.115926:0.217235:0.161335:0.217235:0.161335:0.202485:0.115926:0.202485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.114230:0.239018:0.132954:0.239018:0.132954:0.224268:0.114230:0.224268:0.000000:0.000000
=:@0.140709:0.216862:0.149814:0.216862:0.149814:0.201614:0.140709:0.201614:0.000000
+:@0.173365:0.216862:0.182470:0.216862:0.182470:0.201614:0.173365:0.201614:0.000000
=:@0.136186:0.238645:0.145291:0.238645:0.145291:0.223397:0.136186:0.223397:0.000000
+:@0.184813:0.238645:0.193918:0.238645:0.193918:0.223397:0.184813:0.223397:0.000000
(:@0.158095:0.240219:0.163618:0.240219:0.163618:0.220732:0.158095:0.220732:0.000000
):@0.213787:0.240219:0.219310:0.240219:0.219310:0.220732:0.213787:0.220732:0.000000
∫:@0.149238:0.244470:0.156054:0.244470:0.156054:0.221598:0.149238:0.221598:0.000000
50:@0.185184:0.217235:0.201288:0.217235:0.201288:0.202485:0.185184:0.202485:0.000000:0.000000
6:@0.164692:0.239018:0.172785:0.239018:0.172785:0.224268:0.164692:0.224268:0.000000
50:@0.196634:0.239018:0.212738:0.239018:0.212738:0.224268:0.196634:0.224268:0.000000:0.000000
Paso 2.:@0.403601:0.182907:0.455852:0.182907:0.455852:0.167329:0.403601:0.167329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Aplicamos las reglas básicas de :@0.455852:0.182907:0.669896:0.182907:0.669896:0.168008:0.455852:0.168008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cx:@0.405863:0.220343:0.428418:0.220343:0.428418:0.205618:0.405863:0.205618:0.000000:0.000000
xdx:@0.469134:0.220343:0.490877:0.220343:0.490877:0.205618:0.469134:0.205618:0.000000:0.000000:0.000000
dxC x:@0.531377:0.220343:0.579225:0.220343:0.579225:0.205618:0.531377:0.205618:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.611666:0.212315:0.618383:0.212315:0.618383:0.197590:0.611666:0.197590:0.000000
xC:@0.659397:0.220344:0.690942:0.220344:0.690942:0.205619:0.659397:0.205619:0.000000:0.000000
Cx:@0.410243:0.247467:0.432798:0.247467:0.432798:0.232741:0.410243:0.232741:0.000000:0.000000
x:@0.463148:0.247467:0.469865:0.247467:0.469865:0.232741:0.463148:0.232741:0.000000
x C:@0.509553:0.247467:0.541097:0.247467:0.541097:0.232741:0.509553:0.232741:0.000000:0.000000:0.000000
():@0.415710:0.220343:0.434434:0.220343:0.434434:0.205593:0.415710:0.205593:0.000000:0.000000
;( ):@0.547725:0.220343:0.585247:0.220343:0.585247:0.205593:0.547725:0.205593:0.000000:0.000000:0.000000:0.000000
;:@0.692368:0.220343:0.695254:0.220343:0.695254:0.205593:0.692368:0.205593:0.000000
() 3:@0.420095:0.247466:0.462438:0.247466:0.462438:0.232716:0.420095:0.232716:0.000000:0.000000:0.000000:0.000000
=:@0.437666:0.219970:0.446771:0.219970:0.446771:0.204722:0.437666:0.204722:0.000000
+:@0.494966:0.219970:0.504071:0.219970:0.504071:0.204722:0.494966:0.204722:0.000000
=:@0.588488:0.219970:0.597594:0.219970:0.597594:0.204722:0.588488:0.204722:0.000000
+:@0.630233:0.219970:0.639338:0.219970:0.639338:0.204722:0.630233:0.204722:0.000000
+:@0.670186:0.219970:0.679291:0.219970:0.679291:0.204722:0.670186:0.204722:0.000000
=:@0.442044:0.247092:0.451149:0.247092:0.451149:0.231845:0.442044:0.231845:0.000000
+:@0.480405:0.247092:0.489510:0.247092:0.489510:0.231845:0.480405:0.231845:0.000000
+:@0.520358:0.247092:0.529463:0.247092:0.529463:0.231845:0.520358:0.231845:0.000000
∫:@0.450717:0.225794:0.457534:0.225794:0.457534:0.202922:0.450717:0.202922:0.000000
∫:@0.507537:0.225794:0.514354:0.225794:0.514354:0.202922:0.507537:0.202922:0.000000
6:@0.459811:0.220343:0.467904:0.220343:0.467904:0.205593:0.459811:0.205593:0.000000
50:@0.516398:0.220343:0.532502:0.220343:0.532502:0.205593:0.516398:0.205593:0.000000:0.000000
6:@0.602337:0.212315:0.610430:0.212315:0.610430:0.197565:0.602337:0.197565:0.000000
2:@0.610252:0.230245:0.618346:0.230245:0.618346:0.215494:0.610252:0.215494:0.000000
50:@0.642062:0.220349:0.658166:0.220349:0.658166:0.205599:0.642062:0.205599:0.000000:0.000000
50:@0.492224:0.247466:0.508328:0.247466:0.508328:0.232716:0.492224:0.232716:0.000000:0.000000
2:@0.619816:0.205421:0.624507:0.205421:0.624507:0.196872:0.619816:0.196872:0.000000
2:@0.471306:0.240570:0.475997:0.240570:0.475997:0.232022:0.471306:0.232022:0.000000
 :@0.553053:0.220343:0.556685:0.220343:0.556685:0.205593:0.553053:0.205593:0.000000
 :@0.406617:0.247466:0.410249:0.247466:0.410249:0.232716:0.406617:0.232716:0.000000
Paso 3.:@0.102121:0.266117:0.154372:0.266117:0.154372:0.250539:0.102121:0.250539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como la condición inicial es  (0) = 1 000, reemplazamos en la función de costo :@0.158041:0.266117:0.687829:0.266117:0.687829:0.251218:0.158041:0.251218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.347862:0.266117:0.356875:0.266117:0.356875:0.251243:0.347862:0.251243:0.000000
total. La función de costo total con la condición inicial es: :@0.102121:0.281204:0.484711:0.281204:0.484711:0.266305:0.102121:0.266305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  ; () 3:@0.516858:0.300829:0.572673:0.300829:0.572673:0.286079:0.516858:0.286079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cx:@0.184829:0.300829:0.207384:0.300829:0.207384:0.286104:0.184829:0.286104:0.000000:0.000000
x:@0.237734:0.300829:0.244451:0.300829:0.244451:0.286104:0.237734:0.286104:0.000000
x C:@0.284139:0.300829:0.315683:0.300829:0.315683:0.286104:0.284139:0.286104:0.000000:0.000000:0.000000
C:@0.444199:0.300829:0.453122:0.300829:0.453122:0.286104:0.444199:0.286104:0.000000
C:@0.477087:0.300829:0.486010:0.300829:0.486010:0.286104:0.477087:0.286104:0.000000
C x:@0.520490:0.300829:0.543029:0.300829:0.543029:0.286104:0.520490:0.286104:0.000000:0.000000:0.000000
x:@0.573396:0.300829:0.580112:0.300829:0.580112:0.286104:0.573396:0.286104:0.000000
x:@0.619800:0.300829:0.626517:0.300829:0.626517:0.286104:0.619800:0.286104:0.000000
() 3:@0.194663:0.300829:0.237021:0.300829:0.237021:0.286079:0.194663:0.286079:0.000000:0.000000:0.000000:0.000000
; 0 30:@0.317126:0.300829:0.370795:0.300829:0.370795:0.286079:0.317126:0.286079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.357975:0.300829:0.375654:0.300829:0.375654:0.286079:0.357975:0.286079:0.000000:0.000000:0.000000
( ):@0.412207:0.300829:0.429887:0.300829:0.429887:0.286079:0.412207:0.286079:0.000000:0.000000:0.000000
=:@0.216622:0.300456:0.225727:0.300456:0.225727:0.285208:0.216622:0.285208:0.000000
+:@0.254983:0.300456:0.264088:0.300456:0.264088:0.285208:0.254983:0.285208:0.000000
+:@0.294935:0.300456:0.304041:0.300456:0.304041:0.285208:0.294935:0.285208:0.000000
=:@0.338421:0.300456:0.347526:0.300456:0.347526:0.285208:0.338421:0.285208:0.000000
+:@0.384593:0.300456:0.393698:0.300456:0.393698:0.285208:0.384593:0.285208:0.000000
+ ⇒:@0.432374:0.300456:0.473903:0.300456:0.473903:0.285208:0.432374:0.285208:0.000000:0.000000:0.000000
=:@0.490936:0.300456:0.500041:0.300456:0.500041:0.285208:0.490936:0.285208:0.000000
=:@0.552283:0.300456:0.561388:0.300456:0.561388:0.285208:0.552283:0.285208:0.000000
+:@0.590644:0.300456:0.599749:0.300456:0.599749:0.285208:0.590644:0.285208:0.000000
50:@0.266808:0.300829:0.282911:0.300829:0.282911:0.286079:0.266808:0.286079:0.000000:0.000000
50:@0.396435:0.300829:0.412539:0.300829:0.412539:0.286079:0.396435:0.286079:0.000000:0.000000
0:@0.416934:0.300829:0.425027:0.300829:0.425027:0.286079:0.416934:0.286079:0.000000
0:@0.503258:0.300829:0.511352:0.300829:0.511352:0.286079:0.503258:0.286079:0.000000
50:@0.602460:0.300829:0.618565:0.300829:0.618565:0.286079:0.602460:0.286079:0.000000:0.000000
2:@0.245886:0.293934:0.250576:0.293934:0.250576:0.285385:0.245886:0.285385:0.000000
2:@0.375499:0.293934:0.380190:0.293934:0.380190:0.285385:0.375499:0.285385:0.000000
2:@0.581545:0.293934:0.586236:0.293934:0.586236:0.285385:0.581545:0.285385:0.000000
Paso 1.:@0.102309:0.691653:0.154560:0.691653:0.154560:0.676075:0.102309:0.676075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al integrar la velocidad se obtiene el desplazamiento. Determinamos la expresión :@0.158228:0.691653:0.703626:0.691653:0.703626:0.676754:0.158228:0.676754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la posición  ( ).:@0.102309:0.706740:0.220966:0.706740:0.220966:0.691841:0.102309:0.691841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s t:@0.198484:0.706740:0.213612:0.706740:0.213612:0.691866:0.198484:0.691866:0.000000:0.000000:0.000000
st:@0.105089:0.729079:0.120065:0.729079:0.120065:0.714354:0.105089:0.714354:0.000000:0.000000
t:@0.165673:0.729079:0.170516:0.729079:0.170516:0.714354:0.165673:0.714354:0.000000
dt:@0.198992:0.729079:0.212128:0.729079:0.212128:0.714354:0.198992:0.714354:0.000000:0.000000
s t:@0.236740:0.729079:0.251699:0.729079:0.251699:0.714354:0.236740:0.714354:0.000000:0.000000:0.000000
t:@0.284355:0.721050:0.289197:0.721050:0.289197:0.706325:0.284355:0.706325:0.000000
tC:@0.319938:0.729079:0.349409:0.729079:0.349409:0.714354:0.319938:0.714354:0.000000:0.000000
st:@0.105081:0.756201:0.120057:0.756201:0.120057:0.741476:0.105081:0.741476:0.000000:0.000000
t:@0.148666:0.756201:0.153509:0.756201:0.153509:0.741476:0.148666:0.741476:0.000000
t C:@0.182914:0.756201:0.212385:0.756201:0.212385:0.741476:0.182914:0.741476:0.000000:0.000000:0.000000
():@0.110790:0.729079:0.125882:0.729079:0.125882:0.714329:0.110790:0.714329:0.000000:0.000000
;     :@0.213268:0.729079:0.236752:0.729079:0.236752:0.714329:0.213268:0.714329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) 4:@0.242441:0.729079:0.281662:0.729079:0.281662:0.714329:0.242441:0.714329:0.000000:0.000000:0.000000:0.000000:0.000000
() 2:@0.110790:0.756201:0.149510:0.756201:0.149510:0.741451:0.110790:0.741451:0.000000:0.000000:0.000000:0.000000
=:@0.129118:0.728705:0.138223:0.728705:0.138223:0.713457:0.129118:0.713457:0.000000
+:@0.174395:0.728705:0.183500:0.728705:0.183500:0.713457:0.174395:0.713457:0.000000
(:@0.151027:0.730280:0.156550:0.730280:0.156550:0.710793:0.151027:0.710793:0.000000
):@0.194844:0.730280:0.200367:0.730280:0.200367:0.710793:0.194844:0.710793:0.000000
=:@0.260760:0.728705:0.269865:0.728705:0.269865:0.713457:0.260760:0.713457:0.000000
+:@0.300862:0.728705:0.309968:0.728705:0.309968:0.713457:0.300862:0.713457:0.000000
+:@0.328659:0.728705:0.337764:0.728705:0.337764:0.713457:0.328659:0.713457:0.000000
=:@0.129118:0.755828:0.138223:0.755828:0.138223:0.740580:0.129118:0.740580:0.000000
+:@0.163847:0.755828:0.172952:0.755828:0.172952:0.740580:0.163847:0.740580:0.000000
+:@0.191643:0.755828:0.200748:0.755828:0.200748:0.740580:0.191643:0.740580:0.000000
∫:@0.142170:0.734530:0.148986:0.734530:0.148986:0.711658:0.142170:0.711658:0.000000
4:@0.157906:0.729079:0.165999:0.729079:0.165999:0.714329:0.157906:0.714329:0.000000
2:@0.186216:0.729079:0.194309:0.729079:0.194309:0.714329:0.186216:0.714329:0.000000
2:@0.286803:0.738974:0.294897:0.738974:0.294897:0.724224:0.286803:0.724224:0.000000
2:@0.312676:0.729079:0.320769:0.729079:0.320769:0.714329:0.312676:0.714329:0.000000
2:@0.175664:0.756201:0.183757:0.756201:0.183757:0.741451:0.175664:0.741451:0.000000
2:@0.290444:0.714156:0.295134:0.714156:0.295134:0.705608:0.290444:0.705608:0.000000
2:@0.154749:0.749307:0.159440:0.749307:0.159440:0.740758:0.154749:0.740758:0.000000
Paso 2.:@0.102309:0.774995:0.154560:0.774995:0.154560:0.759417:0.102309:0.759417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reemplazamos las condiciones iniciales  (0) = 10, determinamos el valor de   y la :@0.158228:0.774995:0.702177:0.774995:0.702177:0.760096:0.158228:0.760096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.426166:0.774995:0.431963:0.774995:0.431963:0.760121:0.426166:0.760121:0.000000
C:@0.663630:0.774995:0.672643:0.774995:0.672643:0.760121:0.663630:0.760121:0.000000
función posición.:@0.102309:0.790083:0.216795:0.790083:0.216795:0.775184:0.102309:0.775184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
st:@0.105089:0.807541:0.120065:0.807541:0.120065:0.792815:0.105089:0.792815:0.000000:0.000000
t:@0.148674:0.807541:0.153517:0.807541:0.153517:0.792815:0.148674:0.792815:0.000000
t C:@0.182922:0.807541:0.212393:0.807541:0.212393:0.792815:0.182922:0.792815:0.000000:0.000000:0.000000
C:@0.342982:0.807541:0.351905:0.807541:0.351905:0.792815:0.342982:0.792815:0.000000
C:@0.397546:0.807541:0.406469:0.807541:0.406469:0.792815:0.397546:0.792815:0.000000
st:@0.105089:0.827879:0.120065:0.827879:0.120065:0.813154:0.105089:0.813154:0.000000:0.000000
t:@0.148674:0.827879:0.153517:0.827879:0.153517:0.813154:0.148674:0.813154:0.000000
t:@0.182922:0.827879:0.187764:0.827879:0.187764:0.813154:0.182922:0.813154:0.000000
() 2:@0.110794:0.807541:0.149520:0.807541:0.149520:0.792791:0.110794:0.792791:0.000000:0.000000:0.000000:0.000000
; 10 20:@0.213836:0.807541:0.278119:0.807541:0.278119:0.792791:0.213836:0.792791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.265282:0.807541:0.282962:0.807541:0.282962:0.792791:0.265282:0.792791:0.000000:0.000000:0.000000
( ):@0.310990:0.807541:0.328669:0.807541:0.328669:0.792791:0.310990:0.792791:0.000000:0.000000:0.000000
; 10:@0.353348:0.807541:0.381592:0.807541:0.381592:0.792791:0.353348:0.792791:0.000000:0.000000:0.000000:0.000000
() 2:@0.110794:0.827879:0.149536:0.827879:0.149536:0.813129:0.110794:0.813129:0.000000:0.000000:0.000000:0.000000
=:@0.129120:0.807167:0.138225:0.807167:0.138225:0.791919:0.129120:0.791919:0.000000
+:@0.163849:0.807167:0.172954:0.807167:0.172954:0.791919:0.163849:0.791919:0.000000
+:@0.191645:0.807167:0.200750:0.807167:0.200750:0.791919:0.191645:0.791919:0.000000
=:@0.245729:0.807167:0.254834:0.807167:0.254834:0.791919:0.245729:0.791919:0.000000
+:@0.291901:0.807167:0.301006:0.807167:0.301006:0.791919:0.291901:0.791919:0.000000
+:@0.331157:0.807167:0.340262:0.807167:0.340262:0.791919:0.331157:0.791919:0.000000
=:@0.385240:0.807167:0.394346:0.807167:0.394346:0.791919:0.385240:0.791919:0.000000
=:@0.129120:0.827506:0.138225:0.827506:0.138225:0.812258:0.129120:0.812258:0.000000
+:@0.163849:0.827506:0.172954:0.827506:0.172954:0.812258:0.163849:0.812258:0.000000
+:@0.191645:0.827506:0.200750:0.827506:0.200750:0.812258:0.191645:0.812258:0.000000
2:@0.175674:0.807541:0.183767:0.807541:0.183767:0.792791:0.175674:0.792791:0.000000
20:@0.303759:0.807541:0.323827:0.807541:0.323827:0.792791:0.303759:0.792791:0.000000:0.000000
2:@0.175691:0.827879:0.183784:0.827879:0.183784:0.813129:0.175691:0.813129:0.000000
10:@0.202459:0.827879:0.218562:0.827879:0.218562:0.813129:0.202459:0.813129:0.000000:0.000000
2:@0.154749:0.800645:0.159440:0.800645:0.159440:0.792096:0.154749:0.792096:0.000000
2:@0.282816:0.800645:0.287506:0.800645:0.287506:0.792096:0.282816:0.792096:0.000000
2:@0.154749:0.820978:0.159440:0.820978:0.159440:0.812429:0.154749:0.812429:0.000000
  :@0.219157:0.807541:0.226422:0.807541:0.226422:0.792791:0.219157:0.792791:0.000000:0.000000
  :@0.358669:0.807541:0.365933:0.807541:0.365933:0.792791:0.358669:0.792791:0.000000:0.000000
Paso 3.:@0.102309:0.846577:0.154560:0.846577:0.154560:0.830999:0.102309:0.830999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluamos la posición en t = 5 segundos.:@0.158228:0.846577:0.432494:0.846577:0.432494:0.831678:0.158228:0.831678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
st:@0.105089:0.864303:0.120065:0.864303:0.120065:0.849578:0.105089:0.849578:0.000000:0.000000
t:@0.148674:0.864303:0.153517:0.864303:0.153517:0.849578:0.148674:0.849578:0.000000
t:@0.182922:0.864303:0.187764:0.864303:0.187764:0.849578:0.182922:0.849578:0.000000
s:@0.105089:0.886372:0.110827:0.886372:0.110827:0.871647:0.105089:0.871647:0.000000
() 2:@0.110790:0.864303:0.149510:0.864303:0.149510:0.849553:0.110790:0.849553:0.000000:0.000000:0.000000:0.000000
() 2 5:@0.110790:0.886368:0.166948:0.886368:0.166948:0.871618:0.110790:0.871618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.129118:0.863929:0.138223:0.863929:0.138223:0.848681:0.129118:0.848681:0.000000
+:@0.163847:0.863929:0.172952:0.863929:0.172952:0.848681:0.163847:0.848681:0.000000
+:@0.191643:0.863929:0.200748:0.863929:0.200748:0.848681:0.191643:0.848681:0.000000
=:@0.130956:0.885995:0.140061:0.885995:0.140061:0.870747:0.130956:0.870747:0.000000
():@0.152488:0.887570:0.172755:0.887570:0.172755:0.868083:0.152488:0.868083:0.000000:0.000000
+:@0.181888:0.885995:0.190993:0.885995:0.190993:0.870747:0.181888:0.870747:0.000000
():@0.202949:0.887570:0.223216:0.887570:0.223216:0.868083:0.202949:0.868083:0.000000:0.000000
+:@0.225895:0.885995:0.235000:0.885995:0.235000:0.870747:0.225895:0.870747:0.000000
=:@0.256478:0.885995:0.265583:0.885995:0.265583:0.870747:0.256478:0.870747:0.000000
2:@0.175664:0.864303:0.183757:0.864303:0.183757:0.849553:0.175664:0.849553:0.000000
10:@0.202432:0.864303:0.218536:0.864303:0.218536:0.849553:0.202432:0.849553:0.000000:0.000000
5:@0.115501:0.886368:0.123595:0.886368:0.123595:0.871618:0.115501:0.871618:0.000000
2 5:@0.193716:0.886368:0.217415:0.886368:0.217415:0.871618:0.193716:0.871618:0.000000:0.000000:0.000000
1070 m:@0.236704:0.886368:0.302523:0.886368:0.302523:0.871618:0.236704:0.871618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.154749:0.857408:0.159440:0.857408:0.159440:0.848860:0.154749:0.848860:0.000000
2:@0.172795:0.877740:0.177486:0.877740:0.177486:0.869192:0.172795:0.869192:0.000000
Ejemplos paso a paso:@0.096359:0.116969:0.251252:0.116969:0.251252:0.101605:0.096359:0.101605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos nuestro problema inicial.:@0.096359:0.133880:0.368661:0.133880:0.368661:0.117491:0.096359:0.117491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.161167:0.110585:0.161167:0.110585:0.144266:0.096359:0.144266:0.000000:0.000000
  Sea la función de costo marginal  ’( ) 6:@0.110585:0.161167:0.416717:0.161197:0.416717:0.144808:0.110585:0.144778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cx:@0.353436:0.161197:0.383510:0.161197:0.383510:0.144836:0.353436:0.144836:0.000000:0.000000
x:@0.418099:0.161197:0.425562:0.161197:0.425562:0.144836:0.418099:0.144836:0.000000
=:@0.393793:0.160782:0.403910:0.160782:0.403910:0.143840:0.393793:0.143840:0.000000
+:@0.430077:0.160782:0.440194:0.160782:0.440194:0.143840:0.430077:0.143840:0.000000
50, con la condición inicial  (0) = 1 000:@0.443216:0.161197:0.712505:0.161168:0.712505:0.144779:0.443216:0.144808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.629452:0.161168:0.639366:0.161168:0.639366:0.144807:0.629452:0.144807:0.000000
La seguridad vial no es :@0.754293:0.611063:0.903858:0.611063:0.903858:0.596164:0.754293:0.596164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
solo una cuestión de :@0.754293:0.624894:0.892165:0.624894:0.892165:0.609995:0.754293:0.609995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
señales de tránsito, reglas o :@0.754293:0.638724:0.933560:0.638724:0.933560:0.623825:0.754293:0.623825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
controles policiales. Es una :@0.754293:0.652554:0.928752:0.652554:0.928752:0.637655:0.754293:0.637655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuestión de conciencia, :@0.754293:0.666385:0.909621:0.666385:0.909621:0.651486:0.754293:0.651486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
responsabilidad... y :@0.754293:0.680215:0.878863:0.680215:0.878863:0.665316:0.754293:0.665316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también de matemáticas.:@0.754293:0.694045:0.918650:0.694045:0.918650:0.679146:0.754293:0.679146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando conducimos, :@0.754293:0.711434:0.900523:0.711434:0.900523:0.696535:0.754293:0.696535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada decisión que :@0.754293:0.725264:0.879048:0.725264:0.879048:0.710365:0.754293:0.710365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tomamos: cuánto acelerar, :@0.754293:0.739094:0.933677:0.739094:0.933677:0.724195:0.754293:0.724195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuándo frenar, a qué :@0.754293:0.752925:0.894609:0.752925:0.894609:0.738026:0.754293:0.738026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancia mantenernos de :@0.754293:0.766755:0.931548:0.766755:0.931548:0.751856:0.754293:0.751856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otro vehículo, entre otros, :@0.754293:0.780585:0.928131:0.780585:0.928131:0.765686:0.754293:0.765686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
involucra conceptos :@0.754293:0.794416:0.893219:0.794416:0.893219:0.779517:0.754293:0.779517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como velocidad, tiempo:@0.754293:0.808246:0.916906:0.808246:0.916906:0.793347:0.754293:0.793347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y distancia. :@0.754293:0.822076:0.831119:0.822076:0.831119:0.807177:0.754293:0.807177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seguridad vial:@0.788896:0.578621:0.897453:0.578621:0.897453:0.561721:0.788896:0.561721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.946932:0.913319:0.946932:0.870494:0.935021:0.870494:0.935021:0.913319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096359:0.327438:0.110585:0.327438:0.110585:0.310537:0.096359:0.310537:0.000000:0.000000
  Determinamos la solución de las integrales con el siguiente proceso.:@0.110585:0.327438:0.625710:0.327438:0.625710:0.311049:0.110585:0.311049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Integral original:@0.153771:0.356974:0.269763:0.356974:0.269763:0.341610:0.153771:0.341610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reescribir:@0.364684:0.356974:0.436367:0.356974:0.436367:0.341610:0.364684:0.341610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Integrar:@0.577959:0.356974:0.636223:0.356974:0.636223:0.341610:0.577959:0.341610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simplicar:@0.775185:0.356974:0.852128:0.356974:0.852128:0.341610:0.775185:0.341610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.825450:0.356974:0.828918:0.356974:0.828918:0.341610:0.825450:0.341610:0.000000
a):@0.145284:0.398050:0.160192:0.398050:0.160192:0.381150:0.145284:0.381150:0.000000:0.000000
1:@0.190149:0.389081:0.199142:0.389081:0.199142:0.372692:0.190149:0.372692:0.000000
4:@0.195449:0.401340:0.200661:0.401340:0.200661:0.391842:0.195449:0.391842:0.000000
x:@0.186078:0.409011:0.193541:0.409011:0.193541:0.392650:0.186078:0.392650:0.000000
dx:@0.204377:0.398016:0.221054:0.398016:0.221054:0.381655:0.204377:0.381655:0.000000:0.000000
∫:@0.170808:0.404280:0.178382:0.404280:0.178382:0.378867:0.170808:0.378867:0.000000
xdx:@0.386180:0.398406:0.423957:0.398406:0.423957:0.382045:0.386180:0.382045:0.000000:0.000000:0.000000
−:@0.395552:0.390503:0.401415:0.390503:0.401415:0.380684:0.395552:0.380684:0.000000
∫:@0.374925:0.404462:0.382498:0.404462:0.382498:0.379049:0.374925:0.379049:0.000000
4:@0.401361:0.390744:0.406573:0.390744:0.406573:0.381246:0.401361:0.381246:0.000000
x:@0.575211:0.389536:0.582674:0.389536:0.582674:0.373174:0.575211:0.373174:0.000000
C:@0.615104:0.398455:0.625018:0.398455:0.625018:0.382094:0.615104:0.382094:0.000000
−:@0.584582:0.381634:0.590446:0.381634:0.590446:0.371815:0.584582:0.371815:0.000000
−:@0.576573:0.409042:0.586690:0.409042:0.586690:0.392099:0.576573:0.392099:0.000000
+=:@0.601966:0.398046:0.640609:0.398046:0.640609:0.381104:0.601966:0.381104:0.000000:0.000000
3:@0.590394:0.381875:0.595606:0.381875:0.595606:0.372377:0.590394:0.372377:0.000000
3:@0.586625:0.409456:0.595617:0.409456:0.595617:0.393067:0.586625:0.393067:0.000000
−:@0.792046:0.388315:0.802163:0.388315:0.802163:0.371373:0.792046:0.371373:0.000000
+:@0.813092:0.397233:0.823209:0.397233:0.823209:0.380291:0.813092:0.380291:0.000000
1:@0.802097:0.388730:0.811090:0.388730:0.811090:0.372341:0.802097:0.372341:0.000000
3:@0.801523:0.400988:0.806734:0.400988:0.806734:0.391490:0.801523:0.391490:0.000000
x:@0.792465:0.408649:0.799928:0.408649:0.799928:0.392288:0.792465:0.392288:0.000000
C:@0.826232:0.397648:0.836146:0.397648:0.836146:0.381287:0.826232:0.381287:0.000000
b):@0.145294:0.452361:0.161511:0.452361:0.161511:0.435460:0.145294:0.435460:0.000000:0.000000
(:@0.177389:0.452672:0.182272:0.452672:0.182272:0.436283:0.177389:0.436283:0.000000
) 3:@0.225282:0.452672:0.225331:0.452672:0.225331:0.436283:0.225282:0.436283:0.000000:0.000000:0.000000
x:@0.184041:0.452672:0.191504:0.452672:0.191504:0.436311:0.184041:0.436311:0.000000
dx:@0.235602:0.452672:0.252280:0.452672:0.252280:0.436311:0.235602:0.436311:0.000000:0.000000
2:@0.193094:0.445011:0.198306:0.445011:0.198306:0.435513:0.193094:0.435513:0.000000
2:@0.230003:0.445011:0.235215:0.445011:0.235215:0.435513:0.230003:0.435513:0.000000
+:@0.203197:0.452257:0.213314:0.452257:0.213314:0.435315:0.203197:0.435315:0.000000
∫:@0.167862:0.458730:0.175435:0.458730:0.175435:0.433317:0.167862:0.433317:0.000000
x:@0.355140:0.451054:0.362603:0.451054:0.362603:0.434693:0.355140:0.434693:0.000000
x:@0.398703:0.451054:0.406166:0.451054:0.406166:0.434693:0.398703:0.434693:0.000000
dx:@0.445759:0.451054:0.462436:0.451054:0.462436:0.434693:0.445759:0.434693:0.000000:0.000000
4:@0.364510:0.443392:0.369721:0.443392:0.369721:0.433894:0.364510:0.433894:0.000000
2:@0.407752:0.443392:0.412963:0.443392:0.412963:0.433894:0.407752:0.433894:0.000000
6:@0.388330:0.451054:0.397322:0.451054:0.397322:0.434665:0.388330:0.434665:0.000000
9:@0.430990:0.451054:0.439982:0.451054:0.439982:0.434665:0.430990:0.434665:0.000000
+:@0.374928:0.450639:0.385045:0.450639:0.385045:0.433697:0.374928:0.433697:0.000000
+:@0.417864:0.450639:0.427981:0.450639:0.427981:0.433697:0.417864:0.433697:0.000000
(:@0.346710:0.454026:0.352847:0.454026:0.352847:0.427410:0.346710:0.427410:0.000000
):@0.441152:0.454026:0.447288:0.454026:0.447288:0.427410:0.441152:0.427410:0.000000
∫:@0.336868:0.457111:0.344442:0.457111:0.344442:0.431697:0.336868:0.431697:0.000000
1:@0.531399:0.442738:0.540391:0.442738:0.540391:0.426350:0.531399:0.426350:0.000000
5:@0.530827:0.462654:0.539820:0.462654:0.539820:0.446265:0.530827:0.446265:0.000000
6:@0.577523:0.442738:0.586516:0.442738:0.586516:0.426350:0.577523:0.426350:0.000000
3:@0.577689:0.462654:0.586682:0.462654:0.586682:0.446265:0.577689:0.446265:0.000000
9:@0.623537:0.451656:0.632529:0.451656:0.632529:0.435268:0.623537:0.435268:0.000000
5:@0.552758:0.443995:0.557970:0.443995:0.557970:0.434497:0.552758:0.434497:0.000000
3:@0.600293:0.443995:0.605505:0.443995:0.605505:0.434497:0.600293:0.434497:0.000000
x:@0.543702:0.451656:0.551165:0.451656:0.551165:0.435295:0.543702:0.435295:0.000000
x:@0.591245:0.451656:0.598708:0.451656:0.598708:0.435295:0.591245:0.435295:0.000000
xC:@0.633901:0.451656:0.668951:0.451656:0.668951:0.435295:0.633901:0.435295:0.000000:0.000000
+:@0.562652:0.451242:0.572769:0.451242:0.572769:0.434299:0.562652:0.434299:0.000000
+:@0.610398:0.451242:0.620515:0.451242:0.620515:0.434299:0.610398:0.434299:0.000000
+=:@0.645891:0.451242:0.684534:0.451242:0.684534:0.434299:0.645891:0.434299:0.000000:0.000000
1:@0.748243:0.442650:0.757236:0.442650:0.757236:0.426261:0.748243:0.426261:0.000000
5:@0.747672:0.462566:0.756665:0.462566:0.756665:0.446177:0.747672:0.446177:0.000000
2:@0.792637:0.451570:0.801630:0.451570:0.801630:0.435181:0.792637:0.435181:0.000000
9:@0.834726:0.451570:0.843719:0.451570:0.843719:0.435181:0.834726:0.435181:0.000000
5:@0.769603:0.443907:0.774814:0.443907:0.774814:0.434409:0.769603:0.434409:0.000000
3:@0.811488:0.443907:0.816700:0.443907:0.816700:0.434409:0.811488:0.434409:0.000000
x:@0.760545:0.451570:0.768008:0.451570:0.768008:0.435208:0.760545:0.435208:0.000000
x:@0.802431:0.451570:0.809894:0.451570:0.809894:0.435208:0.802431:0.435208:0.000000
xC:@0.845092:0.451570:0.880142:0.451570:0.880142:0.435208:0.845092:0.435208:0.000000:0.000000
+:@0.779497:0.451155:0.747525:0.451155:0.747525:0.434213:0.779497:0.434213:0.000000
+:@0.821585:0.451155:0.789613:0.451155:0.789613:0.434213:0.821585:0.434213:0.000000
+:@0.857077:0.451155:0.867194:0.451155:0.867194:0.434213:0.857077:0.434213:0.000000
c):@0.145273:0.508315:0.159093:0.508315:0.159093:0.491415:0.145273:0.491415:0.000000:0.000000
xx:@0.191285:0.508093:0.215241:0.508093:0.215241:0.491732:0.191285:0.491732:0.000000:0.000000
xdx:@0.249866:0.508093:0.278945:0.508093:0.278945:0.491732:0.249866:0.491732:0.000000:0.000000:0.000000
(:@0.201127:0.508093:0.206010:0.508093:0.206010:0.491704:0.201127:0.491704:0.000000
):@0.259137:0.508093:0.264020:0.508093:0.264020:0.491704:0.259137:0.491704:0.000000
3:@0.216832:0.500432:0.222044:0.500432:0.222044:0.490934:0.216832:0.490934:0.000000
2:@0.240076:0.508093:0.249069:0.508093:0.249069:0.491704:0.240076:0.491704:0.000000
+:@0.226937:0.507678:0.237054:0.507678:0.237054:0.490736:0.226937:0.490736:0.000000
∫:@0.167518:0.514151:0.175092:0.514151:0.175092:0.488737:0.167518:0.488737:0.000000
(:@0.352260:0.506296:0.357144:0.506296:0.357144:0.489907:0.352260:0.489907:0.000000
):@0.436493:0.506296:0.441376:0.506296:0.441376:0.489907:0.436493:0.489907:0.000000
/ 72:@0.373305:0.498634:0.382706:0.498634:0.382706:0.489136:0.373305:0.489136:0.000000:0.000000:0.000000:0.000000
/ 32:@0.424919:0.498634:0.434321:0.498634:0.434321:0.489136:0.424919:0.489136:0.000000:0.000000:0.000000:0.000000
x:@0.358909:0.506296:0.366372:0.506296:0.366372:0.489935:0.358909:0.489935:0.000000
x:@0.410525:0.506296:0.417988:0.506296:0.417988:0.489935:0.410525:0.489935:0.000000
dx:@0.439634:0.506296:0.456311:0.506296:0.456311:0.489935:0.439634:0.489935:0.000000:0.000000
2:@0.400737:0.506296:0.409729:0.506296:0.409729:0.489907:0.400737:0.489907:0.000000
+:@0.387598:0.505881:0.397714:0.505881:0.397714:0.488939:0.387598:0.488939:0.000000
∫:@0.342731:0.512353:0.350305:0.512353:0.350305:0.486939:0.342731:0.486939:0.000000
x:@0.546983:0.497087:0.554447:0.497087:0.554447:0.480725:0.546983:0.480725:0.000000
x:@0.601787:0.497087:0.609250:0.497087:0.609250:0.480725:0.601787:0.480725:0.000000
C:@0.643470:0.506007:0.653385:0.506007:0.653385:0.489646:0.643470:0.489646:0.000000
9:@0.556564:0.485299:0.561776:0.485299:0.561776:0.475801:0.556564:0.475801:0.000000
2:@0.562950:0.491428:0.568162:0.491428:0.568162:0.481930:0.562950:0.481930:0.000000
5:@0.611899:0.485299:0.617111:0.485299:0.617111:0.475801:0.611899:0.475801:0.000000
2:@0.617762:0.491428:0.622974:0.491428:0.622974:0.481930:0.617762:0.481930:0.000000
9:@0.548134:0.514807:0.557127:0.514807:0.557127:0.498418:0.548134:0.498418:0.000000
2:@0.558971:0.525376:0.567964:0.525376:0.567964:0.508987:0.558971:0.508987:0.000000
2:@0.588655:0.506006:0.597648:0.506006:0.597648:0.489617:0.588655:0.489617:0.000000
5:@0.603784:0.514802:0.612777:0.514802:0.612777:0.498413:0.603784:0.498413:0.000000
2:@0.613784:0.525376:0.622776:0.525376:0.622776:0.508987:0.613784:0.508987:0.000000
+:@0.575509:0.505585:0.585626:0.505585:0.585626:0.488642:0.575509:0.488642:0.000000
+:@0.630313:0.505585:0.640430:0.505585:0.640430:0.488642:0.630313:0.488642:0.000000
=:@0.658858:0.505591:0.668974:0.505591:0.668974:0.488649:0.658858:0.488649:0.000000
2:@0.754023:0.498223:0.763016:0.498223:0.763016:0.481834:0.754023:0.481834:0.000000
9:@0.753765:0.518139:0.762758:0.518139:0.762758:0.501750:0.753765:0.501750:0.000000
4:@0.809730:0.498223:0.818722:0.498223:0.818722:0.481834:0.809730:0.481834:0.000000
5:@0.809895:0.518139:0.818888:0.518139:0.818888:0.501750:0.809895:0.501750:0.000000
9:@0.777057:0.495355:0.782269:0.495355:0.782269:0.485857:0.777057:0.485857:0.000000
2:@0.783444:0.501487:0.788655:0.501487:0.788655:0.491988:0.783444:0.491988:0.000000
5:@0.833542:0.495355:0.838754:0.495355:0.838754:0.485857:0.833542:0.485857:0.000000
2:@0.839405:0.501487:0.844617:0.501487:0.844617:0.491988:0.839405:0.491988:0.000000
x:@0.767477:0.507142:0.774940:0.507142:0.774940:0.490781:0.767477:0.490781:0.000000
x:@0.823441:0.507142:0.830905:0.507142:0.830905:0.490781:0.823441:0.490781:0.000000
C:@0.863646:0.507142:0.873560:0.507142:0.873560:0.490781:0.863646:0.490781:0.000000
+:@0.794542:0.506728:0.748694:0.506728:0.748694:0.489785:0.794542:0.489785:0.000000
+:@0.850507:0.506728:0.804659:0.506728:0.804659:0.489785:0.850507:0.489785:0.000000
Algunos programas o :@0.754711:0.131225:0.902148:0.131225:0.902148:0.116325:0.754711:0.116325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
software, tales como :@0.754711:0.145055:0.895832:0.145055:0.895832:0.130156:0.754711:0.130156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simbolab, Maple o :@0.754711:0.158885:0.882497:0.158885:0.882497:0.143986:0.754711:0.143986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mathematica, pueden :@0.754711:0.172715:0.905583:0.172715:0.905583:0.157816:0.754711:0.157816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular una integral paso :@0.754711:0.186546:0.928734:0.186546:0.928734:0.171647:0.754711:0.171647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a paso. Puedes usar estas :@0.754711:0.200376:0.925000:0.200376:0.925000:0.185477:0.754711:0.185477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y otras herramientas para :@0.754711:0.214206:0.927109:0.214206:0.927109:0.199307:0.754711:0.199307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verificar las integrales :@0.754711:0.228037:0.900305:0.228037:0.900305:0.213138:0.754711:0.213138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indefinidas de este tema.:@0.754711:0.241867:0.921026:0.241867:0.921026:0.226968:0.754711:0.226968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806485:0.098784:0.856955:0.098784:0.856955:0.081883:0.806485:0.081883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000