66:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
18:@0.048334:0.122645:0.082177:0.122645:0.082177:0.065614:0.048334:0.065614:0.000000:0.000000
M.5.1.68. Aplicar el segundo teorema del cálculo diferencial e integral para el cálculo de la integral definida de una función polinomial de grado ≤4 (primitiva). :@0.125388:0.064786:0.877700:0.064786:0.877700:0.054357:0.125388:0.054357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.69. Resolver y plantear aplicaciones geométricas (cálculo de áreas) y físicas (velocidad media, espacio recorrido) de la integral definida, e interpretar y juzgar :@0.125388:0.075348:0.877684:0.075348:0.877684:0.064918:0.125388:0.064918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la validez de las soluciones obtenidas.:@0.125388:0.085909:0.300909:0.085909:0.300909:0.075480:0.125388:0.075480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115891:0.591307:0.273013:0.591307:0.273013:0.572870:0.115891:0.572870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.115891:0.611154:0.134613:0.611154:0.134613:0.594253:0.115891:0.594253:0.000000:0.000000:0.000000
Calculamos :@0.149134:0.611154:0.241254:0.611154:0.241254:0.594530:0.149134:0.594530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el área R, encerrada por la curva  ( ) = – 2 + 4 . :@0.241549:0.611154:0.587083:0.611154:0.587083:0.594765:0.241549:0.594765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.480222:0.611154:0.497267:0.611154:0.497267:0.594793:0.480222:0.594793:0.000000:0.000000:0.000000
x:@0.531008:0.611154:0.538471:0.611154:0.538471:0.594793:0.531008:0.594793:0.000000
x:@0.572378:0.611154:0.579841:0.611154:0.579841:0.594793:0.572378:0.594793:0.000000
el eje de las   y las rectas   = 0 y   = 4. Luego :@0.149134:0.627750:0.477402:0.627750:0.477402:0.611361:0.149134:0.611361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.238047:0.627750:0.245511:0.627750:0.245511:0.611389:0.238047:0.611389:0.000000
x:@0.332432:0.627750:0.339895:0.627750:0.339895:0.611389:0.332432:0.611389:0.000000
x:@0.384121:0.627750:0.391585:0.627750:0.391585:0.611389:0.384121:0.611389:0.000000
graficamos:@0.477402:0.627750:0.561967:0.627750:0.561967:0.611126:0.477402:0.611126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.561967:0.627750:0.565173:0.627750:0.565173:0.611361:0.561967:0.611361:0.000000
 :@0.115891:0.651469:0.119926:0.651469:0.119926:0.635080:0.115891:0.635080:0.000000
Planteamos:@0.149134:0.651469:0.239116:0.651469:0.239116:0.634845:0.149134:0.634845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la integral definida y :@0.239116:0.651469:0.398123:0.651469:0.398123:0.635080:0.239116:0.635080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calculamos,:@0.398773:0.651469:0.488295:0.651469:0.488295:0.634845:0.398773:0.634845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 aplicando el :@0.488295:0.651469:0.587137:0.651469:0.587137:0.635080:0.488295:0.635080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teorema fundamental del cálculo::@0.149134:0.668066:0.396230:0.668066:0.396230:0.651677:0.149134:0.651677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∫:@0.153057:0.708587:0.160631:0.708587:0.160631:0.681555:0.153057:0.681555:0.000000
∫:@0.153057:0.749683:0.160631:0.749683:0.160631:0.722652:0.153057:0.722652:0.000000
−:@0.176353:0.701885:0.186470:0.701885:0.186470:0.683864:0.176353:0.683864:0.000000
+:@0.207146:0.701885:0.155954:0.701885:0.155954:0.683864:0.207146:0.683864:0.000000
=:@0.268455:0.701885:0.217263:0.701885:0.217263:0.683864:0.268455:0.683864:0.000000
−:@0.283676:0.692922:0.293793:0.692922:0.293793:0.674902:0.283676:0.674902:0.000000
+:@0.322208:0.701885:0.332325:0.701885:0.332325:0.683864:0.322208:0.683864:0.000000
−:@0.176353:0.742988:0.186470:0.742988:0.186470:0.724967:0.176353:0.724967:0.000000
+:@0.207146:0.742988:0.155954:0.742988:0.155954:0.724967:0.207146:0.724967:0.000000
=:@0.268455:0.742988:0.217263:0.742988:0.217263:0.724967:0.268455:0.724967:0.000000
−:@0.293203:0.734026:0.303320:0.734026:0.303320:0.716005:0.293203:0.716005:0.000000
+:@0.325138:0.742988:0.335255:0.742988:0.335255:0.724967:0.325138:0.724967:0.000000
⎛:@0.281852:0.735216:0.288928:0.735216:0.288928:0.717195:0.281852:0.717195:0.000000
⎝:@0.281852:0.751950:0.288928:0.751950:0.288928:0.733929:0.281852:0.733929:0.000000
⎜:@0.281852:0.746142:0.288928:0.746142:0.288928:0.728121:0.281852:0.728121:0.000000
⎞:@0.355986:0.735216:0.363062:0.735216:0.363062:0.717195:0.355986:0.717195:0.000000
⎠:@0.355986:0.751950:0.363062:0.751950:0.363062:0.733929:0.355986:0.733929:0.000000
⎟:@0.355986:0.746142:0.363062:0.746142:0.363062:0.728121:0.355986:0.728121:0.000000
− =:@0.367706:0.743002:0.402958:0.743002:0.402958:0.724981:0.367706:0.724981:0.000000:0.000000:0.000000
(:@0.170291:0.701304:0.175174:0.701304:0.175174:0.684915:0.170291:0.684915:0.000000
4):@0.220757:0.701304:0.246168:0.701304:0.246168:0.684915:0.220757:0.684915:0.000000:0.000000
1:@0.293627:0.692342:0.302619:0.692342:0.302619:0.675953:0.293627:0.675953:0.000000
3:@0.287288:0.711787:0.296280:0.711787:0.296280:0.695398:0.287288:0.695398:0.000000
2:@0.335089:0.701304:0.344082:0.701304:0.344082:0.684915:0.335089:0.684915:0.000000
(:@0.170291:0.742407:0.175174:0.742407:0.175174:0.726018:0.170291:0.726018:0.000000
4):@0.220757:0.742407:0.246168:0.742407:0.246168:0.726018:0.220757:0.726018:0.000000:0.000000
46:@0.303154:0.733445:0.320937:0.733445:0.320937:0.717056:0.303154:0.717056:0.000000:0.000000
3:@0.302785:0.752891:0.311778:0.752891:0.311778:0.736502:0.302785:0.736502:0.000000
32:@0.338019:0.742407:0.355802:0.742407:0.355802:0.726018:0.338019:0.726018:0.000000:0.000000
0:@0.380576:0.742407:0.389568:0.742407:0.389568:0.726018:0.380576:0.726018:0.000000
32:@0.407694:0.733445:0.425477:0.733445:0.425477:0.717056:0.407694:0.717056:0.000000:0.000000
3:@0.412301:0.752891:0.421293:0.752891:0.421293:0.736502:0.412301:0.736502:0.000000
u:@0.432461:0.742407:0.442246:0.742407:0.442246:0.726018:0.432461:0.726018:0.000000
2:@0.197609:0.693627:0.202820:0.693627:0.202820:0.684129:0.197609:0.684129:0.000000
0:@0.160593:0.707454:0.165805:0.707454:0.165805:0.697956:0.160593:0.697956:0.000000
4:@0.163733:0.689027:0.168945:0.689027:0.168945:0.679529:0.163733:0.679529:0.000000
3:@0.312885:0.693620:0.318097:0.693620:0.318097:0.684121:0.312885:0.684121:0.000000
2:@0.354450:0.693620:0.359662:0.693620:0.359662:0.684121:0.354450:0.684121:0.000000
0:@0.364607:0.713578:0.369818:0.713578:0.369818:0.704080:0.364607:0.704080:0.000000
4:@0.365027:0.682940:0.370239:0.682940:0.370239:0.673442:0.365027:0.673442:0.000000
2:@0.197607:0.734726:0.202819:0.734726:0.202819:0.725228:0.197607:0.725228:0.000000
0:@0.160591:0.748553:0.165803:0.748553:0.165803:0.739054:0.160591:0.739054:0.000000
4:@0.163731:0.730125:0.168943:0.730125:0.168943:0.720627:0.163731:0.720627:0.000000
2:@0.441926:0.734718:0.447137:0.734718:0.447137:0.725220:0.441926:0.725220:0.000000
x:@0.188500:0.701290:0.195964:0.701290:0.195964:0.684929:0.188500:0.684929:0.000000
x dx:@0.231743:0.701290:0.264021:0.701290:0.264021:0.684929:0.231743:0.684929:0.000000:0.000000:0.000000:0.000000
x:@0.303778:0.701290:0.311241:0.701290:0.311241:0.684929:0.303778:0.684929:0.000000
x:@0.345345:0.701290:0.352809:0.701290:0.352809:0.684929:0.345345:0.684929:0.000000
x:@0.188500:0.742393:0.195964:0.742393:0.195964:0.726032:0.188500:0.726032:0.000000
x dx:@0.231743:0.742393:0.264021:0.742393:0.264021:0.726032:0.231743:0.726032:0.000000:0.000000:0.000000:0.000000
b) :@0.115891:0.788333:0.135921:0.788333:0.135921:0.771432:0.115891:0.771432:0.000000:0.000000:0.000000
Calculamos :@0.149134:0.788333:0.241254:0.788333:0.241254:0.771709:0.149134:0.771709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el área bajo la curva delimitada por la función :@0.241254:0.788333:0.578607:0.788333:0.578607:0.771944:0.241254:0.771944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115891:0.804929:0.119926:0.804929:0.119926:0.788540:0.115891:0.788540:0.000000
f x:@0.149134:0.804929:0.166180:0.804929:0.166180:0.788568:0.149134:0.788568:0.000000:0.000000:0.000000
( ) =   – 1, en el intervalo [1,4].:@0.153833:0.804929:0.373673:0.804929:0.373673:0.788540:0.153833:0.788540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.190117:0.804929:0.197580:0.804929:0.197580:0.788568:0.190117:0.788568:0.000000
 :@0.115891:0.898519:0.119926:0.898519:0.119926:0.882130:0.115891:0.882130:0.000000
∫:@0.152922:0.846780:0.089747:0.846780:0.089747:0.824235:0.152922:0.824235:0.000000
∫:@0.223406:0.846780:0.160232:0.846780:0.160232:0.824235:0.223406:0.824235:0.000000
():@0.459422:0.842078:0.477421:0.842078:0.477421:0.822388:0.459422:0.822388:0.000000:0.000000
(:@0.506565:0.842078:0.512487:0.842078:0.512487:0.822388:0.506565:0.822388:0.000000
):@0.543450:0.842078:0.549373:0.842078:0.549373:0.822388:0.543450:0.822388:0.000000
=:@0.211837:0.840272:0.221601:0.840272:0.221601:0.825242:0.211837:0.825242:0.000000
−:@0.250485:0.840272:0.260249:0.840272:0.260249:0.825242:0.250485:0.825242:0.000000
=:@0.294593:0.840272:0.304358:0.840272:0.304358:0.825242:0.294593:0.825242:0.000000
−:@0.348448:0.840272:0.358213:0.840272:0.358213:0.825242:0.348448:0.825242:0.000000
= ⎡:@0.384376:0.840272:0.417279:0.838230:0.417279:0.823200:0.384376:0.825242:0.000000:0.000000:0.000000
−:@0.447390:0.840272:0.457154:0.840272:0.457154:0.825242:0.447390:0.825242:0.000000
⎣:@0.410449:0.846533:0.417279:0.846533:0.417279:0.831502:0.410449:0.831502:0.000000
⎤ −:@0.485078:0.838230:0.473251:0.840272:0.473251:0.825242:0.485078:0.823200:0.000000:0.000000:0.000000
⎦:@0.485078:0.846533:0.491908:0.846533:0.491908:0.831502:0.485078:0.831502:0.000000
−:@0.525549:0.840272:0.504278:0.840272:0.504278:0.825242:0.525549:0.825242:0.000000
=:@0.203993:0.879944:0.213757:0.879944:0.213757:0.864914:0.203993:0.864914:0.000000
( ):@0.169489:0.839618:0.190321:0.839618:0.190321:0.823800:0.169489:0.823800:0.000000:0.000000:0.000000
(:@0.232598:0.839618:0.237311:0.839618:0.237311:0.823800:0.232598:0.823800:0.000000
1):@0.261802:0.839618:0.273078:0.839618:0.273078:0.823800:0.261802:0.823800:0.000000:0.000000
1:@0.308182:0.830968:0.316861:0.830968:0.316861:0.815150:0.308182:0.815150:0.000000
2:@0.307417:0.849736:0.316096:0.849736:0.316096:0.833918:0.307417:0.833918:0.000000
1:@0.399475:0.830968:0.408155:0.830968:0.408155:0.815150:0.399475:0.815150:0.000000
2:@0.398711:0.849736:0.407390:0.849736:0.407390:0.833918:0.398711:0.833918:0.000000
(4):@0.417350:0.839618:0.438184:0.839618:0.438184:0.823800:0.417350:0.823800:0.000000:0.000000:0.000000
1:@0.464898:0.839618:0.473578:0.839618:0.473578:0.823800:0.464898:0.823800:0.000000
4 1:@0.513859:0.839618:0.545528:0.839618:0.545528:0.823800:0.513859:0.823800:0.000000:0.000000:0.000000
9:@0.218328:0.870640:0.227008:0.870640:0.227008:0.854822:0.218328:0.854822:0.000000
2:@0.218506:0.889414:0.227185:0.889414:0.227185:0.873596:0.218506:0.873596:0.000000
u:@0.234117:0.879289:0.243561:0.879289:0.243561:0.863471:0.234117:0.863471:0.000000
1:@0.154488:0.852550:0.159518:0.852550:0.159518:0.843382:0.154488:0.843382:0.000000
4:@0.154086:0.822441:0.159116:0.822441:0.159116:0.813274:0.154086:0.813274:0.000000
1:@0.224982:0.852550:0.230012:0.852550:0.230012:0.843382:0.224982:0.843382:0.000000
4:@0.224580:0.822441:0.229610:0.822441:0.229610:0.813274:0.224580:0.813274:0.000000
2:@0.328666:0.832227:0.333696:0.832227:0.333696:0.823060:0.328666:0.823060:0.000000
1:@0.337808:0.851490:0.342838:0.851490:0.342838:0.842323:0.337808:0.842323:0.000000
4:@0.338870:0.821907:0.343900:0.821907:0.343900:0.812740:0.338870:0.812740:0.000000
1:@0.373225:0.842841:0.378255:0.842841:0.378255:0.833674:0.373225:0.833674:0.000000
4:@0.374287:0.830556:0.379317:0.830556:0.379317:0.821389:0.374287:0.821389:0.000000
2:@0.438204:0.832227:0.443234:0.832227:0.443234:0.823060:0.438204:0.823060:0.000000
2:@0.477311:0.830517:0.482341:0.830517:0.482341:0.821350:0.477311:0.821350:0.000000
2:@0.243267:0.871890:0.248297:0.871890:0.248297:0.862723:0.243267:0.862723:0.000000
f x dx:@0.162521:0.839618:0.207570:0.839618:0.207570:0.823827:0.162521:0.823827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.239526:0.839618:0.246729:0.839618:0.246729:0.823827:0.239526:0.823827:0.000000
dx:@0.274238:0.839618:0.290334:0.839618:0.290334:0.823827:0.274238:0.823827:0.000000:0.000000
x:@0.319862:0.839618:0.327065:0.839618:0.327065:0.823827:0.319862:0.823827:0.000000
x:@0.362307:0.839618:0.369511:0.839618:0.369511:0.823827:0.362307:0.823827:0.000000
Cálculo de áreas de regiones planas. Integrales  :@0.115891:0.138661:0.832608:0.138661:0.832608:0.097925:0.115891:0.097925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de funciones polinomiales:@0.115891:0.176380:0.492015:0.176380:0.492015:0.135644:0.115891:0.135644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cálculo de áreas de regiones planas:@0.370249:0.204850:0.626758:0.204850:0.626758:0.189485:0.370249:0.189485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área de una región rectangular:@0.123352:0.226085:0.348183:0.226085:0.348183:0.210721:0.123352:0.210721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∫:@0.173388:0.259703:0.180205:0.259703:0.180205:0.238680:0.173388:0.238680:0.000000
=:@0.159207:0.253635:0.127265:0.253635:0.127265:0.239620:0.159207:0.239620:0.000000
=:@0.212451:0.253635:0.180509:0.253635:0.180509:0.239620:0.212451:0.239620:0.000000
=:@0.253499:0.253635:0.221556:0.253635:0.221556:0.239620:0.253499:0.239620:0.000000
():@0.135601:0.253735:0.155536:0.253735:0.155536:0.237379:0.135601:0.237379:0.000000:0.000000
A S:@0.127027:0.253026:0.149039:0.253026:0.149039:0.238300:0.127027:0.238300:0.000000:0.000000:0.000000
cdx:@0.183142:0.253026:0.207527:0.253026:0.207527:0.238300:0.183142:0.238300:0.000000:0.000000:0.000000
cx:@0.225782:0.253026:0.239050:0.253026:0.239050:0.238300:0.225782:0.238300:0.000000:0.000000
cb:@0.266821:0.253026:0.281714:0.253026:0.281714:0.238300:0.266821:0.238300:0.000000:0.000000
b:@0.174284:0.237007:0.179119:0.237007:0.179119:0.228473:0.174284:0.228473:0.000000
b:@0.243120:0.243018:0.247955:0.243018:0.247955:0.234484:0.243120:0.234484:0.000000
0:@0.174378:0.265084:0.179069:0.265084:0.179069:0.256535:0.174378:0.256535:0.000000
0:@0.243120:0.257586:0.247811:0.257586:0.247811:0.249038:0.243120:0.249038:0.000000
S:@0.289392:0.342708:0.294988:0.342708:0.294988:0.331980:0.289392:0.331980:0.000000
0:@0.212870:0.374425:0.219058:0.374425:0.219058:0.363544:0.212870:0.363544:0.000000
C:@0.208600:0.315113:0.215476:0.315113:0.215476:0.304386:0.208600:0.304386:0.000000
b:@0.358274:0.376897:0.364932:0.376897:0.364932:0.366170:0.358274:0.366170:0.000000
y = c:@0.280380:0.306694:0.301825:0.306694:0.301825:0.295985:0.280380:0.295985:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.402360:0.375792:0.407245:0.375792:0.407245:0.365083:0.402360:0.365083:0.000000
y:@0.213292:0.283728:0.218189:0.283728:0.218189:0.273019:0.213292:0.273019:0.000000
Integral definida de una función lineal restringida a  0, :@0.508084:0.226084:0.860126:0.226084:0.860126:0.210720:0.508084:0.210720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.840475:0.226700:0.845830:0.226700:0.845830:0.212543:0.840475:0.212543:0.000000
b:@0.859643:0.226084:0.868408:0.226084:0.868408:0.210720:0.859643:0.210720:0.000000
]:@0.867926:0.226700:0.873281:0.226700:0.873281:0.212543:0.867926:0.212543:0.000000
S:@0.704799:0.306753:0.710421:0.306753:0.710421:0.295978:0.704799:0.295978:0.000000
0:@0.599735:0.331934:0.605950:0.331934:0.605950:0.321004:0.599735:0.321004:0.000000
C:@0.601964:0.271312:0.608870:0.271312:0.608870:0.260537:0.601964:0.260537:0.000000
b:@0.747627:0.331934:0.754315:0.331934:0.754315:0.321159:0.747627:0.321159:0.000000
x:@0.790830:0.332034:0.795737:0.332034:0.795737:0.321277:0.790830:0.321277:0.000000
y:@0.600183:0.240824:0.605102:0.240824:0.605102:0.230067:0.600183:0.230067:0.000000
y =  x :@0.640159:0.286199:0.673294:0.286199:0.673294:0.275443:0.640159:0.275443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.658683:0.281853:0.663723:0.281853:0.663723:0.271096:0.658683:0.271096:0.000000
b:@0.658683:0.290546:0.664777:0.290546:0.664777:0.279789:0.658683:0.279789:0.000000
∫:@0.558122:0.374036:0.486674:0.374036:0.486674:0.353013:0.558122:0.353013:0.000000
∫:@0.636386:0.374036:0.564938:0.374036:0.564938:0.353013:0.636386:0.353013:0.000000
=:@0.543941:0.367967:0.495646:0.367967:0.495646:0.353951:0.543941:0.353951:0.000000
=:@0.622203:0.367967:0.573908:0.367967:0.573908:0.353951:0.622203:0.353951:0.000000
=:@0.689535:0.367967:0.641240:0.367967:0.641240:0.353951:0.689535:0.353951:0.000000
=:@0.746925:0.367967:0.698630:0.367967:0.698630:0.353951:0.746925:0.353951:0.000000
f:@0.571315:0.368066:0.575925:0.368066:0.575925:0.351512:0.571315:0.351512:0.000000
():@0.520333:0.368066:0.540268:0.368066:0.540268:0.351711:0.520333:0.351711:0.000000:0.000000
( ):@0.579552:0.368066:0.600482:0.368066:0.600482:0.351711:0.579552:0.351711:0.000000:0.000000:0.000000
A S:@0.511758:0.367357:0.533770:0.367357:0.533770:0.352632:0.511758:0.352632:0.000000:0.000000:0.000000
x dx:@0.586720:0.367357:0.617278:0.367357:0.617278:0.352632:0.586720:0.352632:0.000000:0.000000:0.000000:0.000000
c:@0.647837:0.359291:0.654736:0.359291:0.654736:0.344566:0.647837:0.344566:0.000000
b:@0.647124:0.376792:0.655466:0.376792:0.655466:0.362067:0.647124:0.362067:0.000000
x dx:@0.659845:0.367357:0.684607:0.367357:0.684607:0.352632:0.659845:0.352632:0.000000:0.000000:0.000000:0.000000
c x:@0.704557:0.359291:0.724609:0.359291:0.724609:0.344566:0.704557:0.344566:0.000000:0.000000:0.000000
b:@0.703844:0.376792:0.712186:0.376792:0.712186:0.362067:0.703844:0.362067:0.000000
bc:@0.771975:0.367357:0.787167:0.367357:0.787167:0.352632:0.771975:0.352632:0.000000:0.000000
b:@0.559018:0.351338:0.563853:0.351338:0.563853:0.342804:0.559018:0.342804:0.000000
b:@0.637277:0.351338:0.642111:0.351338:0.642111:0.342804:0.637277:0.342804:0.000000
b:@0.736552:0.348297:0.741387:0.348297:0.741387:0.339763:0.736552:0.339763:0.000000
2:@0.720485:0.376799:0.728578:0.376799:0.728578:0.362049:0.720485:0.362049:0.000000
1:@0.761947:0.359298:0.770040:0.359298:0.770040:0.344548:0.761947:0.344548:0.000000
2:@0.761234:0.376799:0.769327:0.376799:0.769327:0.362049:0.761234:0.362049:0.000000
0:@0.559112:0.379416:0.563803:0.379416:0.563803:0.370868:0.559112:0.370868:0.000000
0:@0.637370:0.379416:0.642061:0.379416:0.642061:0.370868:0.637370:0.370868:0.000000
2:@0.726096:0.352401:0.730786:0.352401:0.730786:0.343852:0.726096:0.343852:0.000000
0:@0.736553:0.380974:0.741244:0.380974:0.741244:0.372426:0.736553:0.372426:0.000000
Integral definida con una función cuadrática :@0.123350:0.405297:0.445930:0.405297:0.445930:0.389933:0.123350:0.389933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
restringida a  0, :@0.123350:0.420385:0.239997:0.420385:0.239997:0.405021:0.123350:0.405021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.218018:0.421001:0.223597:0.421001:0.223597:0.406844:0.218018:0.406844:0.000000
b:@0.239997:0.420385:0.249127:0.420385:0.249127:0.405021:0.239997:0.405021:0.000000
]:@0.249127:0.421001:0.254706:0.421001:0.254706:0.406844:0.249127:0.406844:0.000000
∫:@0.173388:0.480392:0.101941:0.480392:0.101941:0.459369:0.173388:0.459369:0.000000
∫:@0.251652:0.480392:0.180205:0.480392:0.180205:0.459369:0.251652:0.459369:0.000000
β:@0.260311:0.474323:0.269416:0.474323:0.273524:0.460308:0.264419:0.460308:0.000000
β:@0.139598:0.503773:0.148703:0.503773:0.152811:0.489758:0.143706:0.489758:0.000000
β:@0.206923:0.511839:0.216028:0.511839:0.220136:0.497824:0.211031:0.497824:0.000000
=:@0.159207:0.474323:0.090048:0.474323:0.090048:0.460308:0.159207:0.460308:0.000000
=:@0.237471:0.474323:0.168312:0.474323:0.168312:0.460308:0.237471:0.460308:0.000000
=:@0.126037:0.511841:0.078174:0.511841:0.078174:0.497825:0.126037:0.497825:0.000000
=:@0.183007:0.511841:0.135143:0.511841:0.135143:0.497825:0.183007:0.497825:0.000000
f:@0.186589:0.474425:0.191199:0.474425:0.191199:0.457870:0.186589:0.457870:0.000000
():@0.135607:0.474425:0.155542:0.474425:0.155542:0.458069:0.135607:0.458069:0.000000:0.000000
( ):@0.194827:0.474425:0.215757:0.474425:0.215757:0.458069:0.194827:0.458069:0.000000:0.000000:0.000000
A S:@0.127033:0.473715:0.149044:0.473715:0.149044:0.458990:0.127033:0.458990:0.000000:0.000000:0.000000
x dx:@0.201995:0.473715:0.232552:0.473715:0.232552:0.458990:0.201995:0.458990:0.000000:0.000000:0.000000:0.000000
x dx:@0.272762:0.473715:0.304074:0.473715:0.304074:0.458990:0.272762:0.458990:0.000000:0.000000:0.000000:0.000000
x:@0.155492:0.511231:0.162209:0.511231:0.162209:0.496506:0.155492:0.496506:0.000000
b:@0.218067:0.511231:0.226409:0.511231:0.226409:0.496506:0.218067:0.496506:0.000000
b:@0.174284:0.457695:0.179119:0.457695:0.179119:0.449161:0.174284:0.449161:0.000000
b:@0.252543:0.457695:0.257377:0.457695:0.257377:0.449161:0.252543:0.449161:0.000000
b:@0.172634:0.500234:0.177469:0.500234:0.177469:0.491700:0.172634:0.491700:0.000000
3:@0.142056:0.520673:0.150150:0.520673:0.150150:0.505923:0.142056:0.505923:0.000000
1:@0.197842:0.503169:0.205935:0.503169:0.205935:0.488419:0.197842:0.488419:0.000000
3:@0.197322:0.520673:0.205416:0.520673:0.205416:0.505923:0.197322:0.505923:0.000000
0:@0.174378:0.485771:0.179069:0.485771:0.179069:0.477223:0.174378:0.477223:0.000000
2:@0.280953:0.466813:0.285643:0.466813:0.285643:0.458265:0.280953:0.458265:0.000000
0:@0.252637:0.485771:0.257327:0.485771:0.257327:0.477223:0.252637:0.477223:0.000000
3:@0.163680:0.504340:0.168371:0.504340:0.168371:0.495791:0.163680:0.495791:0.000000
0:@0.172629:0.516783:0.177319:0.516783:0.177319:0.508235:0.172629:0.508235:0.000000
3:@0.226906:0.504340:0.231597:0.504340:0.231597:0.495791:0.226906:0.495791:0.000000
     :@0.308799:0.540280:0.328735:0.540280:0.328735:0.526123:0.308799:0.526123:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.333243:0.548140:0.340118:0.548140:0.340118:0.536050:0.333243:0.536050:0.000000
x:@0.483210:0.549347:0.488638:0.549347:0.488638:0.537448:0.483210:0.537448:0.000000
x = a x = b:@0.367806:0.549347:0.420422:0.549458:0.420422:0.537559:0.367806:0.537448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.375022:0.467917:0.388330:0.467917:0.388330:0.456018:0.375022:0.456018:0.000000:0.000000:0.000000
( ):@0.378439:0.468410:0.392793:0.468410:0.392793:0.457084:0.378439:0.457084:0.000000:0.000000:0.000000
y :@0.460110:0.534956:0.467629:0.534956:0.467629:0.523057:0.460110:0.523057:0.000000:0.000000
= 0:@0.467294:0.534956:0.484086:0.534956:0.484086:0.523037:0.467294:0.523037:0.000000:0.000000:0.000000
y:@0.333717:0.439160:0.339158:0.439160:0.339158:0.427261:0.333717:0.427261:0.000000
Otra propiedad de las integrales definidas:@0.539547:0.405297:0.842192:0.405297:0.842192:0.389933:0.539547:0.389933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Sea   una función real definida en el intervalo [:@0.508086:0.426722:0.835143:0.426722:0.835143:0.411823:0.508086:0.411823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.554339:0.426722:0.558611:0.426722:0.558611:0.411848:0.554339:0.411848:0.000000
a, b:@0.835143:0.426722:0.858044:0.426722:0.858044:0.411848:0.835143:0.411848:0.000000:0.000000:0.000000:0.000000
].  :@0.858044:0.426722:0.872735:0.426722:0.872735:0.411823:0.858044:0.411823:0.000000:0.000000:0.000000:0.000000
Se supone que::@0.527083:0.441809:0.629826:0.441809:0.629826:0.426910:0.527083:0.426910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.508086:0.488895:0.511755:0.488895:0.511755:0.473996:0.508086:0.473996:0.000000
∫:@0.748593:0.477446:0.755410:0.477446:0.755410:0.456423:0.748593:0.456423:0.000000
≥:@0.564369:0.471377:0.573474:0.471377:0.573474:0.457362:0.564369:0.457362:0.000000
∀∈⎡:@0.603667:0.471377:0.646083:0.471166:0.646083:0.457150:0.603667:0.457362:0.000000:0.000000:0.000000
⎣:@0.639714:0.475510:0.646083:0.475510:0.646083:0.461494:0.639714:0.461494:0.000000
⎤:@0.670297:0.471166:0.676665:0.471166:0.676665:0.457150:0.670297:0.457150:0.000000
⎦:@0.670297:0.475510:0.676665:0.475510:0.676665:0.461494:0.670297:0.461494:0.000000
=:@0.734411:0.471376:0.665252:0.471376:0.665252:0.457360:0.734411:0.457360:0.000000
=:@0.812675:0.471376:0.743516:0.471376:0.743516:0.457360:0.812675:0.457360:0.000000
f:@0.531528:0.471476:0.305874:0.471476:0.305874:0.454921:0.531528:0.454921:0.000000
f:@0.761792:0.471476:0.536139:0.471476:0.536139:0.454921:0.761792:0.454921:0.000000
():@0.539775:0.471476:0.560705:0.471476:0.560705:0.455120:0.539775:0.455120:0.000000:0.000000
,   :@0.585289:0.471476:0.603665:0.471476:0.603665:0.455120:0.585289:0.455120:0.000000:0.000000:0.000000:0.000000
,:@0.655446:0.471476:0.659592:0.471476:0.659592:0.455120:0.655446:0.455120:0.000000
( ):@0.710808:0.471476:0.730748:0.471476:0.730748:0.455120:0.710808:0.455120:0.000000:0.000000:0.000000
():@0.770032:0.471476:0.790963:0.471476:0.790963:0.455120:0.770032:0.455120:0.000000:0.000000
():@0.834252:0.471476:0.855183:0.471476:0.855183:0.455120:0.834252:0.455120:0.000000:0.000000
x:@0.546939:0.470766:0.553656:0.470766:0.553656:0.456041:0.546939:0.456041:0.000000
x:@0.615398:0.470766:0.622115:0.470766:0.622115:0.456041:0.615398:0.456041:0.000000
a b:@0.646872:0.470766:0.669065:0.470766:0.669065:0.456041:0.646872:0.456041:0.000000:0.000000:0.000000
A S:@0.702232:0.470766:0.724243:0.470766:0.724243:0.456041:0.702232:0.456041:0.000000:0.000000:0.000000
x dx:@0.777195:0.470766:0.807752:0.470766:0.807752:0.456041:0.777195:0.456041:0.000000:0.000000:0.000000:0.000000
F x:@0.825676:0.470766:0.848131:0.470766:0.848131:0.456041:0.825676:0.456041:0.000000:0.000000:0.000000
a:@0.749583:0.482825:0.754418:0.482825:0.754418:0.474292:0.749583:0.474292:0.000000
b:@0.749488:0.454749:0.754323:0.454749:0.754323:0.446215:0.749488:0.446215:0.000000
a:@0.858187:0.475330:0.863021:0.475330:0.863021:0.466796:0.858187:0.466796:0.000000
b:@0.857994:0.460758:0.862829:0.460758:0.862829:0.452224:0.857994:0.452224:0.000000
0:@0.577044:0.470767:0.585137:0.470767:0.585137:0.456017:0.577044:0.456017:0.000000
•  La integral definida geométricamente representa :@0.508084:0.507540:0.857821:0.507540:0.857821:0.492641:0.508084:0.492641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el área de la región del plano comprendida entre la :@0.527082:0.522627:0.871137:0.522627:0.871137:0.507728:0.527082:0.507728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfica de  ( ) el eje   y las rectas :@0.527082:0.537715:0.744628:0.537715:0.744628:0.522816:0.527082:0.522816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.596369:0.537715:0.611865:0.537715:0.611865:0.522841:0.596369:0.522841:0.000000:0.000000:0.000000
x:@0.658822:0.537715:0.665607:0.537715:0.665607:0.522841:0.658822:0.522841:0.000000
x – a:@0.744628:0.537715:0.774246:0.537715:0.774246:0.522841:0.744628:0.522841:0.000000:0.000000:0.000000:0.000000:0.000000
  y  :@0.774246:0.537715:0.796293:0.537715:0.796293:0.522816:0.774246:0.522816:0.000000:0.000000:0.000000:0.000000:0.000000
x – b:@0.796293:0.537715:0.825911:0.537715:0.825911:0.522841:0.796293:0.522841:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.825911:0.537715:0.828826:0.537715:0.828826:0.522816:0.825911:0.522816:0.000000
0:@0.635037:0.731248:0.642084:0.731248:0.642084:0.718855:0.635037:0.718855:0.000000
3:@0.628210:0.638201:0.635257:0.638201:0.635257:0.625808:0.628210:0.625808:0.000000
4:@0.628210:0.610302:0.635257:0.610302:0.635257:0.597910:0.628210:0.597910:0.000000
y:@0.654956:0.599941:0.660533:0.599941:0.660533:0.587744:0.654956:0.587744:0.000000
x:@0.842809:0.716577:0.848372:0.716577:0.848372:0.704380:0.842809:0.704380:0.000000
2:@0.628196:0.666749:0.635243:0.666749:0.635243:0.654357:0.628196:0.654357:0.000000
1:@0.628196:0.694606:0.635243:0.694606:0.635243:0.682214:0.628196:0.682214:0.000000
8:@0.490672:0.732691:0.496310:0.732691:0.496310:0.722777:0.490672:0.722777:0.000000
10:@0.448626:0.732691:0.459901:0.732691:0.459901:0.722777:0.448626:0.722777:0.000000:0.000000
12:@0.412074:0.732691:0.423350:0.732691:0.423350:0.722777:0.412074:0.722777:0.000000:0.000000
14:@0.373413:0.732691:0.384688:0.732691:0.384688:0.722777:0.373413:0.722777:0.000000:0.000000
4:@0.795299:0.733206:0.802346:0.733206:0.802346:0.720814:0.795299:0.720814:0.000000
3:@0.757083:0.733206:0.764130:0.733206:0.764130:0.720814:0.757083:0.720814:0.000000
2:@0.718798:0.733206:0.725845:0.733206:0.725845:0.720814:0.718798:0.720814:0.000000
1:@0.680540:0.733206:0.687588:0.733206:0.687588:0.720814:0.680540:0.720814:0.000000
5:@0.832437:0.733206:0.839485:0.733206:0.839485:0.720814:0.832437:0.720814:0.000000
f x:@0.690246:0.603096:0.702953:0.603096:0.702953:0.590899:0.690246:0.590899:0.000000:0.000000:0.000000
( ) = –  + 4:@0.693749:0.603096:0.758066:0.603096:0.758066:0.590879:0.693749:0.590879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.727666:0.603096:0.733229:0.603096:0.733229:0.590899:0.727666:0.590899:0.000000
x:@0.758066:0.603096:0.763629:0.603096:0.763629:0.590899:0.758066:0.590899:0.000000
0:@0.631838:0.900505:0.638885:0.900505:0.638885:0.888113:0.631838:0.888113:0.000000
3:@0.628211:0.806985:0.635258:0.806985:0.635258:0.794592:0.628211:0.794592:0.000000
4:@0.628211:0.779086:0.635258:0.779086:0.635258:0.766694:0.628211:0.766694:0.000000
y:@0.654957:0.768725:0.660534:0.768725:0.660534:0.756528:0.654957:0.756528:0.000000
x:@0.842810:0.885360:0.848373:0.885360:0.848373:0.873164:0.842810:0.873164:0.000000
2:@0.628197:0.835533:0.635244:0.835533:0.635244:0.823140:0.628197:0.823140:0.000000
1:@0.628197:0.863390:0.635244:0.863390:0.635244:0.850997:0.628197:0.850997:0.000000
8:@0.490672:0.901468:0.496310:0.901468:0.496310:0.891555:0.490672:0.891555:0.000000
10:@0.448626:0.901468:0.459901:0.901468:0.459901:0.891555:0.448626:0.891555:0.000000:0.000000
12:@0.412074:0.901468:0.423350:0.901468:0.423350:0.891555:0.412074:0.891555:0.000000:0.000000
14:@0.373413:0.901468:0.384688:0.901468:0.384688:0.891555:0.373413:0.891555:0.000000:0.000000
4:@0.795299:0.901984:0.802346:0.901984:0.802346:0.889591:0.795299:0.889591:0.000000
3:@0.757083:0.901984:0.764130:0.901984:0.764130:0.889591:0.757083:0.889591:0.000000
2:@0.718798:0.901984:0.725845:0.901984:0.725845:0.889591:0.718798:0.889591:0.000000
1:@0.680540:0.901984:0.687588:0.901984:0.687588:0.889591:0.680540:0.889591:0.000000
5:@0.832437:0.901984:0.839485:0.901984:0.839485:0.889591:0.832437:0.889591:0.000000