222:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Integración:@0.073089:0.043661:0.176062:0.043661:0.176062:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2.3 Área entre dos curvas:@0.293660:0.136836:0.491045:0.136836:0.491045:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Determinemos el área entre dos curvas y con extremos definidos, bien sea por los cortes :@0.293660:0.165835:0.931256:0.165835:0.931256:0.150122:0.293660:0.150122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 entre estas o porque así lo determina el evaluador. Observemos la gráfica de la Figura 2.6.:@0.293660:0.184113:0.927015:0.184113:0.927015:0.168400:0.293660:0.168400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.489687:0.346649:0.497932:0.346649:0.497932:0.332365:0.489687:0.332365:0.000000 b:@0.679371:0.347102:0.688719:0.347102:0.688719:0.331667:0.679371:0.331667:0.000000 y:@0.486555:0.236875:0.493918:0.236875:0.493918:0.222591:0.486555:0.222591:0.000000 x:@0.747285:0.346648:0.754464:0.346648:0.754464:0.332364:0.747285:0.332364:0.000000 y :@0.683735:0.319306:0.694625:0.319306:0.694625:0.303871:0.683735:0.303871:0.000000:0.000000 5 :@0.694625:0.318752:0.714752:0.318752:0.714752:0.305036:0.694625:0.305036:0.000000:0.000000 g x:@0.714752:0.319306:0.736551:0.319306:0.736551:0.303871:0.714752:0.303871:0.000000:0.000000:0.000000 ( ):@0.724100:0.319306:0.741476:0.319306:0.741476:0.303594:0.724100:0.303594:0.000000:0.000000:0.000000 y :@0.691150:0.249674:0.702040:0.249674:0.702040:0.234239:0.691150:0.234239:0.000000:0.000000 5 :@0.702040:0.249119:0.722167:0.249119:0.722167:0.235404:0.702040:0.235404:0.000000:0.000000 f x:@0.722167:0.249674:0.739357:0.249674:0.739357:0.234239:0.722167:0.234239:0.000000:0.000000:0.000000 ( ):@0.726906:0.249674:0.744282:0.249674:0.744282:0.233961:0.726906:0.233961:0.000000:0.000000:0.000000 a:@0.508985:0.347102:0.518333:0.347102:0.518333:0.331667:0.508985:0.331667:0.000000 Figura 2.6:@0.557222:0.408344:0.608548:0.408344:0.608548:0.396917:0.557222:0.396917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El área determinada por las curvas :@0.293660:0.457508:0.574941:0.457508:0.574941:0.441795:0.293660:0.441795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.563271:0.457508:0.570745:0.457508:0.570745:0.442073:0.563271:0.442073:0.000000 5 :@0.576561:0.456953:0.596726:0.456953:0.596726:0.443238:0.576561:0.443238:0.000000:0.000000 f:@0.598576:0.457508:0.603270:0.457508:0.603270:0.442073:0.598576:0.442073:0.000000 (x), y :@0.603436:0.457508:0.643085:0.457508:0.643085:0.441795:0.603436:0.441795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 :@0.644686:0.456953:0.664852:0.456953:0.664852:0.443238:0.644686:0.443238:0.000000:0.000000 g:@0.666702:0.457508:0.675960:0.457508:0.675960:0.442073:0.666702:0.442073:0.000000 (x) entre los valores es y está :@0.676126:0.457508:0.930974:0.457508:0.930974:0.441795:0.676126:0.441795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.852412:0.457508:0.861671:0.457508:0.861671:0.442073:0.852412:0.442073:0.000000 b:@0.881422:0.457508:0.890681:0.457508:0.890681:0.442073:0.881422:0.442073:0.000000 :@0.926925:0.457508:0.930956:0.457508:0.930956:0.441795:0.926925:0.441795:0.000000 dada por:@0.293679:0.475786:0.359319:0.475786:0.359319:0.460074:0.293679:0.460074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.566998:0.515495:0.573511:0.515495:0.573511:0.493026:0.566998:0.493026:0.000000 b:@0.575085:0.500860:0.580977:0.500860:0.580977:0.491037:0.575085:0.491037:0.000000 a:@0.575085:0.518510:0.580977:0.518510:0.580977:0.508688:0.575085:0.508688:0.000000 F:@0.583620:0.513592:0.587706:0.513592:0.587706:0.495938:0.583620:0.495938:0.000000 f x:@0.587614:0.513010:0.604493:0.513010:0.604493:0.497574:0.587614:0.497574:0.000000:0.000000:0.000000 ( ) ( ):@0.592234:0.513010:0.658611:0.513010:0.658611:0.497297:0.592234:0.497297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.613163:0.512455:0.628496:0.512455:0.628496:0.498739:0.613163:0.498739:0.000000 g x dx:@0.632362:0.513010:0.683681:0.513010:0.683681:0.497574:0.632362:0.497574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 G :@0.658537:0.513592:0.667133:0.513592:0.667133:0.495938:0.658537:0.495938:0.000000:0.000000 El área será positiva, porque hacemos una diferencia entre la curva que está en :@0.355314:0.550232:0.931419:0.550232:0.931419:0.534519:0.355314:0.534519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la parte superior y la que está en la parte inferior.:@0.355314:0.568510:0.706332:0.568510:0.706332:0.552798:0.355314:0.552798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 1:@0.355314:0.605733:0.431097:0.605733:0.431097:0.589063:0.355314:0.589063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Encontremos el área entre las curvas ( ) :@0.355314:0.642955:0.667538:0.642955:0.667538:0.627242:0.355314:0.627242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.622809:0.642955:0.639688:0.642955:0.639688:0.627519:0.622809:0.627519:0.000000:0.000000:0.000000 5:@0.648266:0.642400:0.663599:0.642400:0.663599:0.628684:0.648266:0.628684:0.000000 e g x dx :@0.667354:0.642955:0.737041:0.642956:0.737041:0.627521:0.667354:0.627519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.675100:0.636892:0.679447:0.636892:0.679447:0.627893:0.675100:0.627893:0.000000 ( ):@0.691777:0.642956:0.708841:0.642956:0.708841:0.627243:0.691777:0.627243:0.000000:0.000000:0.000000 G :@0.708767:0.643538:0.717363:0.643538:0.717363:0.625884:0.708767:0.625884:0.000000:0.000000 5 :@0.736912:0.642401:0.756755:0.642401:0.756755:0.628686:0.736912:0.628686:0.000000:0.000000 cosx :@0.756552:0.642956:0.790098:0.642956:0.790098:0.627521:0.756552:0.627521:0.000000:0.000000:0.000000:0.000000:0.000000 con extremos 1 y 2:@0.789980:0.642956:0.927007:0.642956:0.927007:0.627243:0.789980:0.627243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Utilizamos las aplicaciones a la integral definida::@0.355348:0.680178:0.701014:0.680178:0.701014:0.664466:0.355348:0.664466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 #:@0.385815:0.719884:0.392328:0.719884:0.392328:0.697415:0.385815:0.697415:0.000000 b:@0.393903:0.705249:0.399795:0.705249:0.399795:0.695427:0.393903:0.695427:0.000000 a:@0.393903:0.722900:0.399795:0.722900:0.399795:0.713077:0.393903:0.713077:0.000000 F:@0.402437:0.717982:0.406523:0.717982:0.406523:0.700327:0.402437:0.700327:0.000000 e:@0.406431:0.717399:0.414218:0.717399:0.414218:0.701964:0.406431:0.701964:0.000000 x:@0.414151:0.711335:0.418497:0.711335:0.418497:0.702337:0.414151:0.702337:0.000000 :@0.418458:0.717399:0.441688:0.717399:0.441688:0.701687:0.418458:0.701687:0.000000:0.000000:0.000000 2:@0.422416:0.716844:0.437749:0.716844:0.437749:0.703129:0.422416:0.703129:0.000000 cosx dx :@0.441614:0.717399:0.500260:0.717399:0.500260:0.701964:0.441614:0.701964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 G :@0.471876:0.717982:0.480472:0.717982:0.480472:0.700327:0.471876:0.700327:0.000000:0.000000 5 2:@0.500205:0.716844:0.551255:0.716844:0.551255:0.703129:0.500205:0.703129:0.000000:0.000000:0.000000:0.000000 e:@0.519956:0.717399:0.527742:0.717399:0.527742:0.701964:0.519956:0.701964:0.000000 x:@0.527656:0.711335:0.532003:0.711335:0.532003:0.702337:0.527656:0.702337:0.000000 :@0.531964:0.717399:0.555194:0.717399:0.555194:0.701687:0.531964:0.701687:0.000000:0.000000:0.000000 senx :@0.555120:0.717399:0.610342:0.717406:0.610342:0.701970:0.555120:0.701964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Z:@0.589197:0.719454:0.593389:0.719454:0.593389:0.695380:0.589197:0.695380:0.000000 4:@0.593444:0.708766:0.602427:0.708766:0.602427:0.693053:0.593444:0.693053:0.000000 2:@0.593444:0.725158:0.602427:0.725158:0.602427:0.709445:0.593444:0.709445:0.000000 5 :@0.602519:0.716851:0.630111:0.716851:0.630111:0.703135:0.602519:0.703135:0.000000:0.000000:0.000000:0.000000 ( :@0.630019:0.717406:0.670080:0.717399:0.670080:0.701687:0.630019:0.701693:0.000000:0.000000:0.000000:0.000000:0.000000 e:@0.634824:0.717406:0.642610:0.717406:0.642610:0.701970:0.634824:0.701970:0.000000 x:@0.642543:0.711335:0.646889:0.711335:0.646889:0.702337:0.642543:0.702337:0.000000 2:@0.650808:0.716844:0.666141:0.716844:0.666141:0.703129:0.650808:0.703129:0.000000 sen :@0.670006:0.717399:0.710466:0.717399:0.710466:0.701964:0.670006:0.701964:0.000000:0.000000:0.000000:0.000000:0.000000 2):@0.693457:0.717399:0.707244:0.717399:0.707244:0.701687:0.693457:0.701687:0.000000:0.000000 2 :@0.710392:0.716844:0.730235:0.716844:0.730235:0.703129:0.710392:0.703129:0.000000:0.000000 ( :@0.730143:0.717399:0.771079:0.717399:0.771079:0.701687:0.730143:0.701687:0.000000:0.000000:0.000000:0.000000:0.000000 e:@0.734947:0.717399:0.742734:0.717399:0.742734:0.701964:0.734947:0.701964:0.000000 1:@0.742660:0.711335:0.747897:0.711335:0.747897:0.702175:0.742660:0.702175:0.000000 2:@0.751807:0.716844:0.767140:0.716844:0.767140:0.703129:0.751807:0.703129:0.000000 sen:@0.771005:0.717399:0.794511:0.717399:0.794511:0.701964:0.771005:0.701964:0.000000:0.000000:0.000000 1) :@0.794456:0.717399:0.812201:0.717399:0.812201:0.701687:0.794456:0.701687:0.000000:0.000000:0.000000 ø :@0.812109:0.717982:0.831952:0.717982:0.831952:0.700327:0.812109:0.700327:0.000000:0.000000 4,60.:@0.831860:0.717399:0.864919:0.717399:0.864919:0.701687:0.831860:0.701687:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 2:@0.355333:0.754621:0.431115:0.754621:0.431115:0.737952:0.355333:0.737952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Encontremos el área determinada por las curvas ( ) :@0.355333:0.791844:0.733528:0.791844:0.733528:0.776131:0.355333:0.776131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.707887:0.791844:0.724766:0.791844:0.724766:0.776408:0.707887:0.776408:0.000000:0.000000:0.000000 5 1:@0.733436:0.791289:0.785057:0.791288:0.785057:0.777572:0.733436:0.777573:0.000000:0.000000:0.000000:0.000000 x:@0.753187:0.791844:0.760642:0.791844:0.760642:0.776408:0.753187:0.776408:0.000000 2:@0.760575:0.785778:0.765812:0.785778:0.765812:0.776618:0.760575:0.776618:0.000000 3:@0.765766:0.791842:0.797905:0.791842:0.797905:0.776130:0.765766:0.776130:0.000000:0.000000:0.000000:0.000000 x :@0.797813:0.791842:0.808508:0.791842:0.808508:0.776407:0.797813:0.776407:0.000000:0.000000 1:@0.808452:0.791288:0.823786:0.791288:0.823786:0.777572:0.808452:0.777572:0.000000 2, :@0.823694:0.791842:0.847807:0.791842:0.847807:0.776130:0.823694:0.776130:0.000000:0.000000:0.000000:0.000000:0.000000 g x:@0.355321:0.810121:0.376766:0.810121:0.376766:0.794685:0.355321:0.794685:0.000000:0.000000:0.000000 ( ) :@0.364506:0.810121:0.385527:0.810121:0.385527:0.794408:0.364506:0.794408:0.000000:0.000000:0.000000:0.000000 5 :@0.385435:0.809566:0.405278:0.809566:0.405278:0.795850:0.385435:0.795850:0.000000:0.000000 2:@0.405186:0.810121:0.414169:0.810121:0.414169:0.794408:0.405186:0.794408:0.000000 x :@0.414095:0.810121:0.424790:0.810121:0.424790:0.794685:0.414095:0.794685:0.000000:0.000000 2:@0.424735:0.809566:0.440068:0.809566:0.440068:0.795850:0.424735:0.795850:0.000000 4:@0.439976:0.810121:0.452916:0.810121:0.452916:0.794408:0.439976:0.794408:0.000000:0.000000 Para determinar el área entre las dos curvas, primero debemos encontrar las :@0.355321:0.847343:0.930590:0.847343:0.930590:0.831630:0.355321:0.831630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 intersecciones entre ellas::@0.355321:0.865621:0.540410:0.865621:0.540410:0.849909:0.355321:0.849909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.355321:0.902289:0.370654:0.902289:0.370654:0.888573:0.355321:0.888573:0.000000 3:@0.370562:0.902843:0.379545:0.902843:0.379545:0.887131:0.370562:0.887131:0.000000 x :@0.379471:0.902843:0.395360:0.902848:0.395360:0.887413:0.379471:0.887408:0.000000:0.000000:0.000000 2:@0.386856:0.896784:0.392093:0.896784:0.392093:0.887624:0.386856:0.887624:0.000000 1:@0.395287:0.902294:0.410620:0.902294:0.410620:0.888578:0.395287:0.888578:0.000000 3:@0.410528:0.902848:0.423468:0.902848:0.423468:0.887136:0.410528:0.887136:0.000000:0.000000 x :@0.423376:0.902848:0.434071:0.902848:0.434071:0.887413:0.423376:0.887413:0.000000:0.000000 1:@0.434015:0.902294:0.449349:0.902294:0.449349:0.888578:0.434015:0.888578:0.000000 2, :@0.449257:0.902848:0.469284:0.902848:0.469284:0.887136:0.449257:0.887136:0.000000:0.000000:0.000000:0.000000 5 :@0.469173:0.902294:0.489016:0.902294:0.489016:0.888578:0.469173:0.888578:0.000000:0.000000 2:@0.488924:0.902848:0.497907:0.902848:0.497907:0.887136:0.488924:0.887136:0.000000 x :@0.497833:0.902848:0.508528:0.902848:0.508528:0.887413:0.497833:0.887413:0.000000:0.000000 2:@0.508473:0.902294:0.523806:0.902294:0.523806:0.888578:0.508473:0.888578:0.000000 4:@0.523714:0.902848:0.536654:0.902848:0.536654:0.887136:0.523714:0.887136:0.000000:0.000000 2 2 2 5 :@0.355324:0.939516:0.468112:0.939515:0.468112:0.925800:0.355324:0.925800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.370566:0.940070:0.386458:0.940070:0.386458:0.924635:0.370566:0.924635:0.000000:0.000000:0.000000 2:@0.377954:0.934006:0.383190:0.934006:0.383190:0.924846:0.377954:0.924846:0.000000 :@0.401625:0.940070:0.405657:0.940070:0.405657:0.924357:0.401625:0.924357:0.000000 x :@0.405583:0.940070:0.416278:0.940070:0.416278:0.924635:0.405583:0.924635:0.000000:0.000000 6 :@0.431464:0.940070:0.448361:0.940070:0.448361:0.924357:0.431464:0.924357:0.000000:0.000000:0.000000 0 (:@0.468020:0.940070:0.485765:0.940070:0.485765:0.924357:0.468020:0.924357:0.000000:0.000000:0.000000 x :@0.485673:0.940070:0.496367:0.940070:0.496367:0.924635:0.485673:0.924635:0.000000:0.000000 2:@0.496312:0.939515:0.511646:0.939515:0.511646:0.925800:0.496312:0.925800:0.000000 3) (:@0.511553:0.940070:0.538060:0.940070:0.538060:0.924357:0.511553:0.924357:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.537949:0.940070:0.548644:0.940070:0.548644:0.924635:0.537949:0.924635:0.000000:0.000000 1:@0.548589:0.939515:0.563922:0.939515:0.563922:0.925800:0.548589:0.925800:0.000000 2) :@0.563830:0.940070:0.585532:0.940070:0.585532:0.924357:0.563830:0.924357:0.000000:0.000000:0.000000:0.000000 5 :@0.585422:0.939515:0.605265:0.939515:0.605265:0.925800:0.585422:0.925800:0.000000:0.000000 0,:@0.605173:0.940070:0.617285:0.940070:0.617285:0.924357:0.605173:0.924357:0.000000:0.000000 x :@0.617193:0.940070:0.627887:0.940070:0.627887:0.924635:0.617193:0.924635:0.000000:0.000000 2 5 :@0.627832:0.939515:0.679722:0.939515:0.679722:0.925800:0.627832:0.925800:0.000000:0.000000:0.000000:0.000000 3 :@0.643073:0.940070:0.659971:0.940070:0.659971:0.924357:0.643073:0.924357:0.000000:0.000000:0.000000 0,:@0.679630:0.940070:0.691742:0.940070:0.691742:0.924357:0.679630:0.924357:0.000000:0.000000 x :@0.691650:0.940070:0.702345:0.940070:0.702345:0.924635:0.691650:0.924635:0.000000:0.000000 1 5 :@0.702289:0.939515:0.754179:0.939515:0.754179:0.925800:0.702289:0.925800:0.000000:0.000000:0.000000:0.000000 2 :@0.717531:0.940070:0.734429:0.940070:0.734429:0.924357:0.717531:0.924357:0.000000:0.000000:0.000000 0,:@0.754087:0.940070:0.766199:0.940070:0.766199:0.924357:0.754087:0.924357:0.000000:0.000000 x :@0.766107:0.940070:0.776802:0.940070:0.776802:0.924635:0.766107:0.924635:0.000000:0.000000 5 :@0.776747:0.939515:0.796590:0.939515:0.796590:0.925800:0.776747:0.925800:0.000000:0.000000 3, :@0.796498:0.940070:0.812567:0.940070:0.812567:0.924357:0.796498:0.924357:0.000000:0.000000:0.000000 x :@0.812475:0.940070:0.823170:0.940070:0.823170:0.924635:0.812475:0.924635:0.000000:0.000000 52:@0.823115:0.939515:0.853689:0.939515:0.853689:0.925800:0.823115:0.925800:0.000000:0.000000 2.:@0.853597:0.940070:0.865709:0.940070:0.865709:0.924357:0.853597:0.924357:0.000000:0.000000 2:@0.325990:0.933918:0.340063:0.933918:0.340063:0.921449:0.325990:0.921449:0.000000 50:@0.340063:0.934422:0.356552:0.934422:0.356552:0.920138:0.340063:0.920138:0.000000:0.000000 0:@0.185449:0.903014:0.193694:0.903014:0.193694:0.888730:0.185449:0.888730:0.000000 1:@0.187662:0.853555:0.195907:0.853555:0.195907:0.839271:0.187662:0.839271:0.000000 2:@0.187020:0.813022:0.195265:0.813022:0.195265:0.798738:0.187020:0.798738:0.000000 3:@0.187020:0.772162:0.195265:0.772162:0.195265:0.757877:0.187020:0.757877:0.000000 4:@0.187662:0.732373:0.195907:0.732373:0.195907:0.718088:0.187662:0.718088:0.000000 5:@0.187662:0.692130:0.195907:0.692130:0.195907:0.677845:0.187662:0.677845:0.000000 6:@0.187662:0.652782:0.195907:0.652782:0.195907:0.638498:0.187662:0.638498:0.000000 7:@0.187662:0.610080:0.195907:0.610080:0.195907:0.595796:0.187662:0.595796:0.000000 8:@0.187662:0.571628:0.195907:0.571628:0.195907:0.557343:0.187662:0.557343:0.000000 1:@0.249395:0.905561:0.257640:0.905561:0.257640:0.891277:0.249395:0.891277:0.000000 2:@0.132518:0.905057:0.146591:0.905057:0.146591:0.892588:0.132518:0.892588:0.000000 1:@0.146591:0.905561:0.154836:0.905561:0.154836:0.891277:0.146591:0.891277:0.000000 2:@0.079164:0.905057:0.093238:0.905057:0.093238:0.892588:0.079164:0.892588:0.000000 2:@0.093238:0.905561:0.101482:0.905561:0.101482:0.891277:0.093238:0.891277:0.000000 y:@0.188710:0.542989:0.196073:0.542989:0.196073:0.528705:0.188710:0.528705:0.000000 2:@0.302640:0.905558:0.310884:0.905558:0.310884:0.891274:0.302640:0.891274:0.000000 x:@0.321045:0.900901:0.328224:0.900901:0.328224:0.886616:0.321045:0.886616:0.000000 g x:@0.114629:0.917837:0.136429:0.917837:0.136429:0.902402:0.114629:0.902402:0.000000:0.000000:0.000000 ( ):@0.123977:0.917837:0.141353:0.917837:0.141353:0.902124:0.123977:0.902124:0.000000:0.000000:0.000000 5:@0.141353:0.917282:0.156834:0.917282:0.156834:0.903566:0.141353:0.903566:0.000000 cos x:@0.156834:0.917837:0.192571:0.917837:0.192571:0.902402:0.156834:0.902402:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.180120:0.917837:0.197496:0.917837:0.197496:0.902124:0.180120:0.902124:0.000000:0.000000:0.000000 f x:@0.121952:0.848011:0.139142:0.848011:0.139142:0.832575:0.121952:0.832575:0.000000:0.000000:0.000000 ( ):@0.126691:0.848011:0.144067:0.848011:0.144067:0.832298:0.126691:0.832298:0.000000:0.000000:0.000000 5 :@0.144067:0.847456:0.164193:0.847456:0.164193:0.833740:0.144067:0.833740:0.000000:0.000000 e :@0.164193:0.848011:0.179791:0.848009:0.179791:0.832573:0.164193:0.832575:0.000000:0.000000:0.000000 x:@0.172057:0.841945:0.176445:0.841945:0.176445:0.832946:0.172057:0.832946:0.000000 a :@0.255763:0.800136:0.268456:0.800136:0.268456:0.784700:0.255763:0.784700:0.000000:0.000000 5 :@0.268456:0.799581:0.288583:0.799581:0.288583:0.785865:0.268456:0.785865:0.000000:0.000000 4,6:@0.288583:0.800136:0.309954:0.800136:0.309954:0.784423:0.288583:0.784423:0.000000:0.000000:0.000000 Figura 2.7:@0.145529:0.938536:0.196855:0.938536:0.196855:0.927108:0.145529:0.927108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000