:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
¿Cómo se calcula el área :@0.081818:0.192000:0.247833:0.192000:0.247833:0.177101:0.081818:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una región irregular?:@0.085252:0.205830:0.244164:0.205830:0.244164:0.190931:0.085252:0.190931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La integral denida de una función   =  ( ) en un intervalo cerrado [ ,  ] geométri-:@0.287495:0.340998:0.903640:0.340998:0.903640:0.324609:0.287495:0.324609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.393473:0.340998:0.397508:0.340998:0.397508:0.324609:0.393473:0.324609:0.000000
y:@0.553480:0.340998:0.560962:0.340998:0.560962:0.324636:0.553480:0.324636:0.000000
f x:@0.582043:0.340998:0.599088:0.340998:0.599088:0.324636:0.582043:0.324636:0.000000:0.000000:0.000000
a b:@0.793574:0.340998:0.820312:0.340998:0.820312:0.324636:0.793574:0.324636:0.000000:0.000000:0.000000
camente representa el área limitada por la gráca de la función, el eje   y las rectas :@0.287495:0.357594:0.907766:0.357594:0.907766:0.341205:0.287495:0.341205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.634318:0.357594:0.638354:0.357594:0.638354:0.341205:0.634318:0.341205:0.000000
x:@0.810560:0.357594:0.818023:0.357594:0.818023:0.341233:0.810560:0.341233:0.000000
verticales   =   y   =  . Se denota como::@0.287495:0.374190:0.579905:0.374190:0.579905:0.357801:0.287495:0.357801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.360432:0.374190:0.367895:0.374190:0.367895:0.357829:0.360432:0.357829:0.000000
a x:@0.386949:0.374190:0.419861:0.374190:0.419861:0.357829:0.386949:0.357829:0.000000:0.000000:0.000000
b:@0.438915:0.374190:0.448184:0.374190:0.448184:0.357829:0.438915:0.357829:0.000000
fx dx:@0.308300:0.401229:0.352729:0.401229:0.352729:0.384867:0.308300:0.384867:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.315524:0.401229:0.336329:0.401229:0.336329:0.384840:0.315524:0.384840:0.000000:0.000000
Donde::@0.287495:0.432757:0.341378:0.432757:0.341378:0.416368:0.287495:0.416368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.287495:0.456476:0.297446:0.456476:0.297446:0.439575:0.287495:0.439575:0.000000
 es el límite inferior de integración.:@0.297446:0.456476:0.549256:0.456476:0.549256:0.440087:0.297446:0.440087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.287495:0.480195:0.297538:0.480195:0.297538:0.463294:0.287495:0.463294:0.000000
 es el límite superior.:@0.297538:0.480195:0.446356:0.480195:0.446356:0.463806:0.297538:0.463806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.287495:0.503914:0.307416:0.503914:0.307416:0.487013:0.287495:0.487013:0.000000:0.000000:0.000000
( ):@0.293171:0.503914:0.312962:0.503914:0.312962:0.487013:0.293171:0.487013:0.000000:0.000000:0.000000
 es la función integrando.:@0.312962:0.503914:0.497935:0.503914:0.497935:0.487525:0.312962:0.487525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dx:@0.287495:0.527633:0.306218:0.527633:0.306218:0.510732:0.287495:0.510732:0.000000:0.000000
 indica la variable de integración.:@0.306218:0.527633:0.546197:0.527633:0.546197:0.511244:0.306218:0.511244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta integral es una suma continua de innitos sumando innitesimales pequeños, :@0.287495:0.551352:0.907696:0.551352:0.907696:0.534963:0.287495:0.534963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595679:0.551352:0.599715:0.551352:0.599715:0.534963:0.595679:0.534963:0.000000
 :@0.734495:0.551352:0.738530:0.551352:0.738530:0.534963:0.734495:0.534963:0.000000
que se relacionan con la sumatoria de Riemann y que se estudian en cursos más :@0.287495:0.567948:0.907729:0.567948:0.907729:0.551559:0.287495:0.551559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
avanzados.:@0.287495:0.584544:0.367821:0.584544:0.367821:0.568155:0.287495:0.568155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la integral definida:@0.287495:0.620893:0.640748:0.620893:0.640748:0.599383:0.287495:0.599383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si f(x) es una función continua e integrable en el intervalo [a, b], entonces cumple con :@0.287495:0.643674:0.907657:0.643674:0.907657:0.627285:0.287495:0.627285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las siguientes propiedades.:@0.287495:0.660270:0.484704:0.660270:0.484704:0.643881:0.287495:0.643881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.287495:0.683989:0.301722:0.683989:0.301722:0.667089:0.287495:0.667089:0.000000:0.000000
  Toda integral denida es un número real.:@0.301722:0.683989:0.615229:0.683989:0.615229:0.667600:0.301722:0.667600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.438862:0.683989:0.442898:0.683989:0.442898:0.667600:0.438862:0.667600:0.000000
2.:@0.287495:0.704154:0.301722:0.704154:0.301722:0.687253:0.287495:0.687253:0.000000:0.000000
  Al cambiar los límites de integración cam-:@0.301722:0.704154:0.630117:0.704154:0.630117:0.687765:0.301722:0.687765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bia el signo de la integral. :@0.315985:0.720750:0.505786:0.720750:0.505786:0.704361:0.315985:0.704361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.528726:0.720750:0.532762:0.720750:0.532762:0.704361:0.528726:0.704361:0.000000
3.:@0.287495:0.740915:0.301722:0.740915:0.301722:0.724014:0.287495:0.724014:0.000000:0.000000
  Si los límites de integración son iguales:@0.301722:0.740915:0.602221:0.740915:0.602221:0.724526:0.301722:0.724526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la integral es cero.   :@0.315985:0.757511:0.472454:0.757511:0.472454:0.741122:0.315985:0.741122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.:@0.287495:0.777676:0.301722:0.777676:0.301722:0.760775:0.287495:0.760775:0.000000:0.000000
 Si :@0.301722:0.777676:0.332422:0.777676:0.332422:0.761287:0.301722:0.761287:0.000000:0.000000:0.000000:0.000000
c:@0.337046:0.777698:0.344712:0.777698:0.344712:0.761337:0.337046:0.761337:0.000000
a b:@0.368502:0.777698:0.392384:0.777698:0.392384:0.761337:0.368502:0.761337:0.000000:0.000000:0.000000
∈:@0.347513:0.777284:0.360651:0.777284:0.360651:0.760341:0.347513:0.760341:0.000000
[:@0.361755:0.779296:0.367892:0.779296:0.367892:0.756831:0.361755:0.756831:0.000000
]:@0.393009:0.779296:0.399145:0.779296:0.399145:0.756831:0.393009:0.756831:0.000000
,:@0.378037:0.777698:0.381244:0.777698:0.381244:0.761310:0.378037:0.761310:0.000000
, la integral se puede descom-:@0.401281:0.777668:0.630097:0.777668:0.630097:0.761279:0.401281:0.761279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
poner en la suma de dos integrales.   :@0.315980:0.794265:0.593067:0.794265:0.593067:0.777876:0.315980:0.777876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.:@0.287490:0.814429:0.301717:0.814429:0.301717:0.797529:0.287490:0.797529:0.000000:0.000000
  La integral de una constante por una:@0.301717:0.814429:0.586313:0.814429:0.586313:0.798040:0.301717:0.798040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función es la constante por la integral.:@0.315980:0.831026:0.590678:0.831026:0.590678:0.814637:0.315980:0.814637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.:@0.287490:0.851190:0.301717:0.851190:0.301717:0.834290:0.287490:0.834290:0.000000:0.000000
  Si la función es impar y los extremos de:@0.301717:0.851190:0.604278:0.851190:0.604278:0.834801:0.301717:0.834801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la integral son iguales y con signos:@0.315980:0.867787:0.569761:0.867787:0.569761:0.851398:0.315980:0.851398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contrarios, la integral es cero.:@0.315980:0.884383:0.527601:0.884383:0.527601:0.867994:0.315980:0.867994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.:@0.287490:0.904548:0.301717:0.904548:0.301717:0.887647:0.287490:0.887647:0.000000:0.000000
  Si la función es par y los extremos de la inte-:@0.301717:0.904548:0.630136:0.904548:0.630136:0.888159:0.301717:0.888159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gral son iguales y con signos contrarios.:@0.315980:0.921144:0.594677:0.921144:0.594677:0.904755:0.315980:0.904755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.313641:0.480398:0.313641:0.480398:0.298277:0.306727:0.298277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.314427:0.297460:0.314427:0.297460:0.297291:0.284892:0.297291:0.000000
Pienso y progreso:@0.294883:0.255827:0.417347:0.255827:0.417347:0.240463:0.294883:0.240463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuánto cobran en tu ciudad, en contexto real, por uso de estacionamiento?:@0.294883:0.273220:0.803831:0.273220:0.803831:0.258321:0.294883:0.258321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un estacionamiento se cobra de la siguiente manera: las dos primeras horas $5 :@0.287495:0.168345:0.907748:0.168345:0.907748:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por hora, de dos a cinco horas $3 por hora y después de la quinta hora $2 por hora.:@0.287495:0.184941:0.895552:0.184941:0.895552:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una persona deja su automóvil estacionado durante tres días en las diferentes franjas :@0.287495:0.208660:0.907733:0.208660:0.907733:0.192271:0.287495:0.192271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
horarias. ¿Cuál es el costo total que debe pagar?:@0.287495:0.225257:0.638833:0.225257:0.638833:0.208868:0.287495:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Integral denida:@0.286308:0.075160:0.532645:0.075160:0.532645:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.457312:0.075160:0.464389:0.075160:0.464389:0.041608:0.457312:0.041608:0.000000
:@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
a:@0.706150:0.492069:0.713186:0.492069:0.713186:0.479899:0.706150:0.479899:0.000000
b:@0.825883:0.492069:0.832960:0.492069:0.832960:0.479899:0.825883:0.479899:0.000000
x   b:@0.836923:0.472333:0.862883:0.472333:0.862883:0.460163:0.836923:0.460163:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.845320:0.472333:0.853354:0.472333:0.853354:0.460173:0.845320:0.460173:0.000000
x   a:@0.678046:0.455307:0.703966:0.455307:0.703966:0.443137:0.678046:0.443137:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.686443:0.455307:0.694477:0.455307:0.694477:0.443147:0.686443:0.443147:0.000000
y   f x:@0.789234:0.424462:0.821705:0.424462:0.821705:0.412293:0.789234:0.412293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= ( ):@0.797631:0.424462:0.825533:0.424462:0.825533:0.412303:0.797631:0.412303:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.650980:0.492069:0.657895:0.492069:0.657895:0.479910:0.650980:0.479910:0.000000
y:@0.652678:0.397428:0.657879:0.397428:0.657879:0.386779:0.652678:0.386779:0.000000
x:@0.893102:0.490460:0.898303:0.490460:0.898303:0.479811:0.893102:0.479811:0.000000
S:@0.766627:0.468192:0.772909:0.468192:0.772909:0.456022:0.766627:0.456022:0.000000
= número real:@0.745275:0.680911:0.849501:0.680911:0.849501:0.664523:0.745275:0.664523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx dx:@0.695760:0.680524:0.740187:0.680523:0.740187:0.664162:0.695760:0.664163:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.702982:0.680523:0.723786:0.680523:0.723786:0.664134:0.702982:0.664134:0.000000:0.000000
fx dx:@0.695165:0.711354:0.739594:0.711354:0.739594:0.694993:0.695165:0.694993:0.000000:0.000000:0.000000:0.000000:0.000000
fx dx:@0.787156:0.711354:0.831585:0.711354:0.831585:0.694993:0.787156:0.694993:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.685114:0.717406:0.690485:0.717406:0.690485:0.707923:0.685114:0.707923:0.000000
b:@0.687677:0.699451:0.693049:0.699451:0.693049:0.689969:0.687677:0.689969:0.000000
b:@0.776777:0.717406:0.782149:0.717406:0.782149:0.707923:0.776777:0.707923:0.000000
a:@0.779661:0.699451:0.785032:0.699451:0.785032:0.689969:0.779661:0.689969:0.000000
():@0.702389:0.711354:0.723193:0.711354:0.723193:0.694966:0.702389:0.694966:0.000000:0.000000
():@0.794361:0.711354:0.815166:0.711354:0.815166:0.694966:0.794361:0.694966:0.000000:0.000000
∫:@0.678307:0.717411:0.685881:0.717411:0.685881:0.691998:0.678307:0.691998:0.000000
∫:@0.770132:0.717411:0.777706:0.717411:0.777706:0.691998:0.770132:0.691998:0.000000
=−:@0.744951:0.710940:0.769313:0.710940:0.769313:0.693997:0.744951:0.693997:0.000000:0.000000
fx dx:@0.695326:0.747479:0.739755:0.747479:0.739755:0.731118:0.695326:0.731118:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.685114:0.753524:0.690485:0.753524:0.690485:0.744042:0.685114:0.744042:0.000000
a:@0.687837:0.735570:0.693209:0.735570:0.693209:0.726088:0.687837:0.726088:0.000000
():@0.702546:0.747473:0.723351:0.747473:0.723351:0.731084:0.702546:0.731084:0.000000:0.000000
∫:@0.678307:0.753531:0.685881:0.753531:0.685881:0.728117:0.678307:0.728117:0.000000
=:@0.745107:0.747058:0.755224:0.747058:0.755224:0.730116:0.745107:0.730116:0.000000
0:@0.758762:0.747473:0.767755:0.747473:0.767755:0.731084:0.758762:0.731084:0.000000
fx dx:@0.695150:0.783598:0.739579:0.783598:0.739579:0.767236:0.695150:0.767236:0.000000:0.000000:0.000000:0.000000:0.000000
fx dx:@0.775992:0.783598:0.820421:0.783598:0.820421:0.767236:0.775992:0.767236:0.000000:0.000000:0.000000:0.000000:0.000000
fx dx:@0.855784:0.783598:0.900213:0.783598:0.900213:0.767236:0.855784:0.767236:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.685114:0.789643:0.690485:0.789643:0.690485:0.780160:0.685114:0.780160:0.000000
b:@0.687677:0.771688:0.693049:0.771688:0.693049:0.762206:0.687677:0.762206:0.000000
a:@0.766257:0.789643:0.771629:0.789643:0.771629:0.780160:0.766257:0.780160:0.000000
c:@0.768981:0.771688:0.773424:0.771688:0.773424:0.762206:0.768981:0.762206:0.000000
c:@0.845725:0.789643:0.850168:0.789643:0.850168:0.780160:0.845725:0.780160:0.000000
b:@0.848288:0.771688:0.853660:0.771688:0.853660:0.762206:0.848288:0.762206:0.000000
():@0.702389:0.783591:0.723193:0.783591:0.723193:0.767203:0.702389:0.767203:0.000000:0.000000
():@0.783212:0.783591:0.804017:0.783591:0.804017:0.767203:0.783212:0.767203:0.000000:0.000000
():@0.863004:0.783591:0.883809:0.783591:0.883809:0.767203:0.863004:0.767203:0.000000:0.000000
∫:@0.678307:0.789649:0.685881:0.789649:0.685881:0.764236:0.678307:0.764236:0.000000
∫:@0.759462:0.789649:0.767036:0.789649:0.767036:0.764236:0.759462:0.764236:0.000000
∫:@0.838932:0.789649:0.846505:0.789649:0.846505:0.764236:0.838932:0.764236:0.000000
=:@0.744951:0.783177:0.755068:0.783177:0.755068:0.766234:0.744951:0.766234:0.000000
+:@0.824946:0.783177:0.835063:0.783177:0.835063:0.766234:0.824946:0.766234:0.000000
kf xdx:@0.695165:0.819711:0.747076:0.819711:0.747076:0.803350:0.695165:0.803350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.766111:0.819711:0.773685:0.819711:0.773685:0.803350:0.766111:0.803350:0.000000
fx dx:@0.792481:0.819711:0.836910:0.819711:0.836910:0.803350:0.792481:0.803350:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.685114:0.825762:0.690485:0.825762:0.690485:0.816280:0.685114:0.816280:0.000000
b:@0.687677:0.807808:0.693049:0.807808:0.693049:0.798326:0.687677:0.798326:0.000000
a:@0.782437:0.825762:0.787809:0.825762:0.787809:0.816280:0.782437:0.816280:0.000000
b:@0.785000:0.807808:0.790372:0.807808:0.790372:0.798326:0.785000:0.798326:0.000000
():@0.709875:0.819711:0.730680:0.819711:0.730680:0.803322:0.709875:0.803322:0.000000:0.000000
():@0.799710:0.819711:0.820515:0.819711:0.820515:0.803322:0.799710:0.803322:0.000000:0.000000
∫:@0.678307:0.825768:0.685881:0.825768:0.685881:0.800354:0.678307:0.800354:0.000000
∫:@0.775633:0.825768:0.783206:0.825768:0.783206:0.800354:0.775633:0.800354:0.000000
=:@0.752436:0.819296:0.762553:0.819296:0.762553:0.802354:0.752436:0.802354:0.000000
fx dx:@0.699402:0.858505:0.743831:0.858505:0.743831:0.842144:0.699402:0.842144:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.691918:0.864554:0.697290:0.864554:0.697290:0.855072:0.691918:0.855072:0.000000
a:@0.687839:0.846599:0.693211:0.846599:0.693211:0.837117:0.687839:0.837117:0.000000
():@0.706630:0.858503:0.727435:0.858503:0.727435:0.842114:0.706630:0.842114:0.000000:0.000000
−:@0.685271:0.864313:0.691134:0.864313:0.691134:0.854495:0.685271:0.854495:0.000000
∫:@0.678307:0.864560:0.685881:0.864560:0.685881:0.839147:0.678307:0.839147:0.000000
=:@0.749191:0.858088:0.759308:0.858088:0.759308:0.841146:0.749191:0.841146:0.000000
0:@0.762846:0.858503:0.771839:0.858503:0.771839:0.842114:0.762846:0.842114:0.000000
fx dx:@0.699400:0.910975:0.743829:0.910975:0.743829:0.894614:0.699400:0.894614:0.000000:0.000000:0.000000:0.000000:0.000000
fx dx:@0.789087:0.910975:0.833516:0.910975:0.833516:0.894614:0.789087:0.894614:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.691918:0.917032:0.697290:0.917032:0.697290:0.907550:0.691918:0.907550:0.000000
a:@0.687839:0.899078:0.693211:0.899078:0.693211:0.889596:0.687839:0.889596:0.000000
a:@0.781595:0.899078:0.786967:0.899078:0.786967:0.889596:0.781595:0.889596:0.000000
():@0.706630:0.910981:0.727435:0.910981:0.727435:0.894592:0.706630:0.894592:0.000000:0.000000
():@0.796299:0.910981:0.817104:0.910981:0.817104:0.894592:0.796299:0.894592:0.000000:0.000000
−:@0.685271:0.916792:0.691134:0.916792:0.691134:0.906973:0.685271:0.906973:0.000000
∫:@0.678307:0.917039:0.685881:0.917039:0.685881:0.891626:0.678307:0.891626:0.000000
∫:@0.772067:0.917039:0.779641:0.917039:0.779641:0.891626:0.772067:0.891626:0.000000
=:@0.749191:0.910566:0.759308:0.910566:0.759308:0.893624:0.749191:0.893624:0.000000
2:@0.762846:0.910981:0.771839:0.910981:0.771839:0.894592:0.762846:0.894592:0.000000
0:@0.778718:0.917032:0.783929:0.917032:0.783929:0.907534:0.778718:0.907534:0.000000
©Shutterstock:@0.068421:0.283198:0.068421:0.240373:0.056510:0.240373:0.056510:0.283198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función por partes ayuda :@0.072616:0.371690:0.254247:0.371690:0.254247:0.358280:0.072616:0.358280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a determinar el costo de:@0.072616:0.384261:0.218469:0.384261:0.218469:0.370852:0.072616:0.370852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los estacionamientos.:@0.072616:0.396833:0.201584:0.396833:0.201584:0.383424:0.072616:0.383424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• El símbolo   tiene la :@0.103153:0.526004:0.247832:0.526004:0.247832:0.511105:0.103153:0.511105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma de la letra :@0.124920:0.539835:0.236826:0.539835:0.236826:0.524936:0.124920:0.524936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.236826:0.539835:0.244164:0.539835:0.244164:0.524961:0.236826:0.524961:0.000000
mayúscula estirada y :@0.105873:0.553665:0.247832:0.553665:0.247832:0.538766:0.105873:0.538766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denota o indica suma; :@0.096776:0.567495:0.247832:0.567495:0.247832:0.552596:0.096776:0.552596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el símbolo :@0.075785:0.584884:0.148893:0.584884:0.148893:0.569985:0.075785:0.569985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.164273:0.584890:0.179769:0.584890:0.179769:0.570016:0.164273:0.570016:0.000000:0.000000:0.000000
(  dx se lee::@0.168545:0.584890:0.244165:0.584890:0.244165:0.569991:0.168545:0.569991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
“integral de f(x) de   = :@0.086726:0.607308:0.235739:0.607308:0.235739:0.592409:0.086726:0.592409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.211632:0.607308:0.218417:0.607308:0.218417:0.592434:0.211632:0.592434:0.000000
a:@0.235739:0.607308:0.244165:0.607308:0.244165:0.592434:0.235739:0.592434:0.000000
hasta   =  ” o también, :@0.093561:0.621138:0.247834:0.621138:0.247834:0.606239:0.093561:0.606239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.132846:0.621138:0.139630:0.621138:0.139630:0.606264:0.132846:0.606264:0.000000
b:@0.156952:0.621138:0.165379:0.621138:0.165379:0.606264:0.156952:0.606264:0.000000
“integral de  ( ) sobre el :@0.088050:0.634968:0.247834:0.634968:0.247834:0.620069:0.088050:0.620069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.167925:0.634968:0.183421:0.634968:0.183421:0.620095:0.167925:0.620095:0.000000:0.000000:0.000000
intervalo [ ,  ]”.:@0.143701:0.648799:0.244165:0.648799:0.244165:0.633900:0.143701:0.633900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.210577:0.648799:0.234013:0.648799:0.234013:0.633925:0.210577:0.633925:0.000000:0.000000:0.000000
• En la integral definida:@0.092322:0.666187:0.244164:0.666187:0.244164:0.651288:0.092322:0.651288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se deben observar los :@0.098386:0.680018:0.247832:0.680018:0.247832:0.665119:0.098386:0.665119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguientes elementos::@0.098905:0.693848:0.244162:0.693848:0.244162:0.678949:0.098905:0.678949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.068466:0.863370:0.072135:0.863370:0.072135:0.848471:0.068466:0.848471:0.000000
Se lee: “integral :@0.144309:0.863370:0.247839:0.863370:0.247839:0.848471:0.144309:0.848471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de   desde   hasta  ”.:@0.105405:0.877200:0.244165:0.877200:0.244165:0.862301:0.105405:0.862301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.126312:0.877200:0.130584:0.877200:0.130584:0.862326:0.126312:0.862326:0.000000
a:@0.178647:0.877200:0.187073:0.877200:0.187073:0.862326:0.178647:0.862326:0.000000
b:@0.230026:0.877200:0.238453:0.877200:0.238453:0.862326:0.230026:0.862326:0.000000
     Matemática:@0.115206:0.490273:0.222747:0.490273:0.222747:0.473373:0.115206:0.473373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∫:@0.113545:0.788364:0.126186:0.788364:0.130578:0.741234:0.117936:0.741234:0.000000
b:@0.132531:0.754672:0.142700:0.754672:0.142700:0.736722:0.132531:0.736722:0.000000
a:@0.125960:0.793698:0.136129:0.793698:0.136129:0.775748:0.125960:0.775748:0.000000
f x dx:@0.139024:0.781556:0.212832:0.781556:0.212832:0.750321:0.139024:0.750321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.147995:0.781556:0.180888:0.781556:0.180888:0.750268:0.147995:0.750268:0.000000:0.000000:0.000000
límite superior:@0.078660:0.712315:0.155519:0.712315:0.155519:0.700396:0.078660:0.700396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la integral:@0.082493:0.721116:0.151686:0.721116:0.151686:0.709197:0.082493:0.709197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
límite inferior:@0.091982:0.820976:0.162622:0.820976:0.162622:0.809057:0.091982:0.809057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la integral:@0.092705:0.829777:0.161898:0.829777:0.161898:0.817858:0.092705:0.817858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
signo de:@0.058437:0.755043:0.104459:0.755043:0.104459:0.743124:0.058437:0.743124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral:@0.061144:0.763844:0.101752:0.763844:0.101752:0.751925:0.061144:0.751925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función es:@0.182123:0.727654:0.249320:0.727654:0.249320:0.715735:0.182123:0.715735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el integrando:@0.179898:0.736455:0.251544:0.736455:0.251544:0.724536:0.179898:0.724536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.175462:0.801835:0.180890:0.801835:0.180890:0.789936:0.175462:0.789936:0.000000
 es la variable:@0.180890:0.801835:0.251932:0.801835:0.251932:0.789916:0.180890:0.789916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de integración:@0.174899:0.810636:0.252482:0.810636:0.252482:0.798717:0.174899:0.798717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.64.:@0.298180:0.946788:0.353208:0.946788:0.353208:0.934325:0.298180:0.934325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular la integral denida de una función escalonada, identicar sus propiedades cuando los límites :@0.356524:0.946788:0.906604:0.946788:0.906604:0.934868:0.356524:0.934868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.476109:0.946788:0.479044:0.946788:0.479044:0.934868:0.476109:0.934868:0.000000
 :@0.691812:0.946788:0.694747:0.946788:0.694747:0.934868:0.691812:0.934868:0.000000
de integración son iguales y cuando se intercambian los límites de integración.:@0.298180:0.958103:0.718015:0.958103:0.718015:0.946184:0.298180:0.946184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000