Area Bajo La Curva

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Cómo calcular el área bajo la curva en Excel por el método de paralelogramos Armar una tabla como esta con una serie de datos (x;y) (en este caso tiempo y Agregar otra columna como la que se llama "area paralelogramo". Observar cómo Copiar la misma fórmula a toda la columna Crear, en otra celda, como la que aquí se llama "total", la suma de todas las Tiempo A area paralelogramo total 0 15.8411 101500.189 1 15.8365 15.8388 2 15.8411 15.8388 3 15.8458 15.84345 4 15.8505 15.84815 5 15.8597 15.8551 6 15.8599 15.8598 7 15.8737 15.8668 8 15.8783 15.876 9 15.8922 15.88525 10 15.8968 15.8945 11 15.8922 15.8945 12 15.906 15.8991 13 15.906 15.906 14 15.906 15.906 15 15.9106 15.9083 16 15.906 15.9083 17 15.9152 15.9106 18 15.9244 15.9198 19 15.9152 15.9198 20 15.9382 15.9267 21 15.929 15.9336 22 15.9382 15.9336 23 15.9428 15.9405 24 15.9474 15.9451 25 15.952 15.9497 26 15.952 15.952 27 15.9566 15.9543 28 15.975 15.9658 29 15.975 15.975 30 15.975 15.975 31 15.9796 15.9773 32 15.9704 15.975 33 15.9888 15.9796 34 15.9888 15.9888 35 15.9842 15.9865 36 15.9888 15.9865 37 15.9934 15.9911 38 15.998 15.9957 39 15.998 15.998 40 16.0026 16.0003 41 16.0026 16.0026 42 16.0072 16.0049 43 16.0164 16.0118 44 16.0072 16.0118 45 16.0026 16.0049 46 16.0164 16.0095 Fede: la celda tiene el area del paralelogramo que está entre el punto (0;15,841) y el (1;15,8365) La siguiente tiene la del paralelogramo entre (1;15,8365) y (2;15.8411) y así sucesivamente

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Transcript of Area Bajo La Curva

Page 1: Area Bajo La Curva

Cómo calcular el área bajo la curva en Excel por el método de paralelogramosArmar una tabla como esta con una serie de datos (x;y) (en este caso tiempo y A)Agregar otra columna como la que se llama "area paralelogramo". Observar cómo la fórmula que contiene se refiere a la X e Y adyacentes y a la X e Y anterioresCopiar la misma fórmula a toda la columnaCrear, en otra celda, como la que aquí se llama "total", la suma de todas las areas de los paralelogramos, usando la función SUMA(), como está en el ejemplo.

Tiempo A area paralelogramo total0 15.8411 101500.1891 15.8365 15.83882 15.8411 15.83883 15.8458 15.843454 15.8505 15.848155 15.8597 15.85516 15.8599 15.85987 15.8737 15.86688 15.8783 15.8769 15.8922 15.88525

10 15.8968 15.894511 15.8922 15.894512 15.906 15.899113 15.906 15.90614 15.906 15.90615 15.9106 15.908316 15.906 15.908317 15.9152 15.910618 15.9244 15.919819 15.9152 15.919820 15.9382 15.926721 15.929 15.933622 15.9382 15.933623 15.9428 15.940524 15.9474 15.945125 15.952 15.949726 15.952 15.95227 15.9566 15.954328 15.975 15.965829 15.975 15.97530 15.975 15.97531 15.9796 15.977332 15.9704 15.97533 15.9888 15.979634 15.9888 15.988835 15.9842 15.986536 15.9888 15.986537 15.9934 15.991138 15.998 15.995739 15.998 15.99840 16.0026 16.000341 16.0026 16.002642 16.0072 16.004943 16.0164 16.011844 16.0072 16.011845 16.0026 16.004946 16.0164 16.0095

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Fede:la celda tiene el area del paralelogramo que está entre el punto (0;15,841) y el (1;15,8365)

La siguiente tiene la del paralelogramo entre (1;15,8365) y (2;15.8411)

y así sucesivamente

Fede:Esta celda tiene la suma de toda la columna D, o sea de las areas de todos los paralelogramos, y es el área bajo la curva.

F8
Fede: Esta celda tiene la suma de toda la columna D, o sea de las areas de todos los paralelogramos, y es el área bajo la curva.
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Fede: la celda tiene el area del paralelogramo que está entre el punto (0;15,841) y el (1;15,8365) La siguiente tiene la del paralelogramo entre (1;15,8365) y (2;15.8411) y así sucesivamente
Page 2: Area Bajo La Curva

47 16.0164 16.016448 16.0256 16.02149 16.0164 16.02150 16.0441 16.0302551 16.0535 16.048852 16.0534 16.0534553 16.0534 16.053454 16.0581 16.0557555 16.0628 16.0604556 16.0769 16.0698557 16.0769 16.076958 16.0816 16.0792559 16.0863 16.0839560 16.091 16.0886561 16.0816 16.086362 16.0816 16.081663 16.091 16.086364 16.1002 16.095665 16.0956 16.097966 16.1048 16.100267 16.1048 16.104868 16.1048 16.104869 16.1094 16.107170 16.1094 16.109471 16.137 16.123272 16.1278 16.132473 16.1324 16.130174 16.1278 16.130175 16.1324 16.130176 16.137 16.134777 16.1554 16.146278 16.1554 16.155479 16.1462 16.150880 16.1554 16.150881 16.1554 16.155482 16.1692 16.162383 16.1554 16.162384 16.1738 16.164685 16.1738 16.173886 16.1692 16.171587 16.183 16.176188 16.183 16.18389 16.1784 16.180790 16.183 16.180791 16.183 16.18392 16.183 16.18393 16.183 16.18394 16.1876 16.185395 16.1876 16.187696 16.1922 16.189997 16.2014 16.196898 16.1922 16.196899 16.2198 16.206

100 16.2106 16.2152

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101 16.2106 16.2106102 16.2152 16.2129103 16.2244 16.2198104 16.2244 16.2244105 16.2336 16.229106 16.2336 16.2336107 16.2474 16.2405108 16.2428 16.2451109 16.2658 16.2543110 16.2428 16.2543111 16.2566 16.2497112 16.2658 16.2612113 16.2658 16.2658114 16.2704 16.2681115 16.275 16.2727116 16.2797 16.27735117 16.275 16.27735118 16.275 16.275119 16.2891 16.28205120 16.2797 16.2844121 16.2844 16.28205122 16.2985 16.29145123 16.2891 16.2938124 16.2797 16.2844125 16.2985 16.2891126 16.2891 16.2938127 16.3032 16.29615128 16.322 16.3126129 16.3079 16.31495130 16.3126 16.31025131 16.3126 16.3126132 16.322 16.3173133 16.3173 16.31965134 16.3312 16.32425135 16.3266 16.3289136 16.345 16.3358137 16.3311 16.33805138 16.3358 16.33345139 16.3404 16.3381140 16.3358 16.3381141 16.3358 16.3358142 16.3496 16.3427143 16.345 16.3473144 16.3542 16.3496145 16.368 16.3611146 16.3542 16.3611147 16.368 16.3611148 16.368 16.368149 16.368 16.368150 16.368 16.368151 16.368 16.368152 16.3726 16.3703153 16.3726 16.3726154 16.368 16.3703

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155 16.3772 16.3726156 16.3864 16.3818157 16.3726 16.3795158 16.391 16.3818159 16.4002 16.3956160 16.4048 16.4025161 16.3956 16.4002162 16.4002 16.3979163 16.4094 16.4048164 16.4094 16.4094165 16.3956 16.4025166 16.4094 16.4025167 16.4232 16.4163168 16.4232 16.4232169 16.4232 16.4232170 16.4278 16.4255171 16.4232 16.4255172 16.4324 16.4278173 16.437 16.4347174 16.4508 16.4439175 16.4416 16.4462176 16.4416 16.4416177 16.4416 16.4416178 16.4508 16.4462179 16.4554 16.4531180 16.4554 16.4554181 16.4554 16.4554182 16.4554 16.4554183 16.46 16.4577184 16.46 16.46185 16.46 16.46186 16.4694 16.4647187 16.4647 16.46705188 16.46 16.46235189 16.4647 16.46235190 16.4741 16.4694191 16.4647 16.4694192 16.4741 16.4694193 16.4788 16.47645194 16.4929 16.48585195 16.4741 16.4835196 16.4788 16.47645197 16.4929 16.48585198 16.4929 16.4929199 16.4929 16.4929200 16.5162 16.50455201 16.5023 16.50925202 16.5022 16.50225203 16.5023 16.50225204 16.507 16.50465205 16.5069 16.50695206 16.5023 16.5046207 16.5116 16.50695208 16.5208 16.5162

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209 16.5116 16.5162210 16.5208 16.5162211 16.5346 16.5277212 16.53 16.5323213 16.5208 16.5254214 16.53 16.5254215 16.5392 16.5346216 16.53 16.5346217 16.5392 16.5346218 16.5438 16.5415219 16.5438 16.5438220 16.553 16.5484221 16.553 16.553222 16.5484 16.5507223 16.553 16.5507224 16.553 16.553225 16.553 16.553226 16.553 16.553227 16.5576 16.5553228 16.553 16.5553229 16.553 16.553230 16.5576 16.5553231 16.5576 16.5576232 16.553 16.5553233 16.5576 16.5553234 16.5576 16.5576235 16.5622 16.5599236 16.5622 16.5622237 16.576 16.5691238 16.5714 16.5737239 16.5714 16.5714240 16.576 16.5737241 16.5944 16.5852242 16.5852 16.5898243 16.5944 16.5898244 16.5898 16.5921245 16.5898 16.5898246 16.599 16.5944247 16.6036 16.6013248 16.6128 16.6082249 16.599 16.6059250 16.6082 16.6036251 16.622 16.6151252 16.6128 16.6174253 16.6174 16.6151254 16.622 16.6197255 16.6312 16.6266256 16.6312 16.6312257 16.6404 16.6358258 16.6358 16.6381259 16.6404 16.6381260 16.6404 16.6404261 16.645 16.6427262 16.6542 16.6496

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263 16.645 16.6496264 16.645 16.645265 16.6404 16.6427266 16.6496 16.645267 16.6496 16.6496268 16.6542 16.6519269 16.6542 16.6542270 16.6496 16.6519271 16.6588 16.6542272 16.6542 16.6565273 16.6496 16.6519274 16.6496 16.6496275 16.6588 16.6542276 16.6726 16.6657277 16.668 16.6703278 16.6634 16.6657279 16.6772 16.6703280 16.6726 16.6749281 16.6818 16.6772282 16.6864 16.6841283 16.6818 16.6841284 16.6818 16.6818285 16.6864 16.6841286 16.6957 16.69105287 16.6957 16.6957288 16.6957 16.6957289 16.691 16.69335290 16.6911 16.69105291 16.7005 16.6958292 16.7004 16.70045293 16.7098 16.7051294 16.7004 16.7051295 16.7098 16.7051296 16.7098 16.7098297 16.7192 16.7145298 16.7145 16.71685299 16.7098 16.71215300 16.7098 16.7098301 16.7145 16.71215302 16.738 16.72625303 16.7239 16.73095304 16.7333 16.7286305 16.7286 16.73095306 16.7333 16.73095307 16.7286 16.73095308 16.7333 16.73095309 16.7426 16.73795310 16.738 16.7403311 16.738 16.738312 16.7426 16.7403313 16.738 16.7403314 16.7426 16.7403315 16.7426 16.7426316 16.738 16.7403

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317 16.7425 16.74025318 16.7426 16.74255319 16.7472 16.7449320 16.738 16.7426321 16.7518 16.7449322 16.7564 16.7541323 16.7472 16.7518324 16.761 16.7541325 16.7702 16.7656326 16.761 16.7656327 16.7748 16.7679328 16.7794 16.7771329 16.761 16.7702330 16.761 16.761331 16.7702 16.7656332 16.7794 16.7748333 16.7748 16.7771334 16.7702 16.7725335 16.7794 16.7748336 16.784 16.7817337 16.7794 16.7817338 16.784 16.7817339 16.7932 16.7886340 16.7978 16.7955341 16.784 16.7909342 16.8024 16.7932343 16.7886 16.7955344 16.7978 16.7932345 16.7978 16.7978346 16.8162 16.807347 16.7978 16.807348 16.807 16.8024349 16.8116 16.8093350 16.8162 16.8139351 16.8162 16.8162352 16.8162 16.8162353 16.8208 16.8185354 16.8208 16.8208355 16.8254 16.8231356 16.8208 16.8231357 16.8254 16.8231358 16.83 16.8277359 16.8346 16.8323360 16.8208 16.8277361 16.83 16.8254362 16.8254 16.8277363 16.8254 16.8254364 16.83 16.8277365 16.83 16.83366 16.8438 16.8369367 16.83 16.8369368 16.8346 16.8323369 16.8438 16.8392370 16.8346 16.8392

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371 16.8438 16.8392372 16.8438 16.8438373 16.8484 16.8461374 16.8668 16.8576375 16.853 16.8599376 16.8484 16.8507377 16.853 16.8507378 16.853 16.853379 16.8622 16.8576380 16.8622 16.8622381 16.876 16.8691382 16.8714 16.8737383 16.8668 16.8691384 16.8622 16.8645385 16.8668 16.8645386 16.8668 16.8668387 16.8714 16.8691388 16.8714 16.8714389 16.876 16.8737390 16.876 16.876391 16.876 16.876392 16.8714 16.8737393 16.876 16.8737394 16.8898 16.8829395 16.8806 16.8852396 16.8852 16.8829397 16.8852 16.8852398 16.8944 16.8898399 16.8944 16.8944400 16.899 16.8967401 16.8944 16.8967402 16.8898 16.8921403 16.9174 16.9036404 16.922 16.9197405 16.9128 16.9174406 16.9082 16.9105407 16.9128 16.9105408 16.9128 16.9128409 16.9128 16.9128410 16.9082 16.9105411 16.9174 16.9128412 16.9174 16.9174413 16.9128 16.9151414 16.9174 16.9151415 16.922 16.9197416 16.922 16.922417 16.922 16.922418 16.922 16.922419 16.922 16.922420 16.922 16.922421 16.922 16.922422 16.9128 16.9174423 16.922 16.9174424 16.9267 16.92435

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425 16.9314 16.92905426 16.9267 16.92905427 16.9408 16.93375428 16.9455 16.94315429 16.9549 16.9502430 16.9596 16.95725431 16.969 16.9643432 16.992 16.9805433 16.9966 16.9943434 17.0104 17.0035435 17.015 17.0127436 17.0242 17.0196437 17.0518 17.038438 17.0656 17.0587439 17.084 17.0748440 17.0978 17.0909441 17.1208 17.1093442 17.1254 17.1231443 17.1718 17.1486444 17.1906 17.1812445 17.223 17.2068446 17.2598 17.2414447 17.2782 17.269448 17.292 17.2851449 17.338 17.315450 17.3702 17.3541451 17.3981 17.38415452 17.4494 17.42375453 17.4816 17.4655454 17.5276 17.5046455 17.5692 17.5484456 17.6206 17.5949457 17.6666 17.6436458 17.7402 17.7034459 17.7955 17.76785460 17.8515 17.8235461 17.9114 17.88145462 17.9942 17.9528463 18.0405 18.01735464 18.1101 18.0753465 18.193 18.15155466 18.267 18.23467 18.3366 18.3018468 18.4102 18.3734469 18.4934 18.4518470 18.5814 18.5374471 18.669 18.6252472 18.7526 18.7108473 18.8769 18.81475474 18.9697 18.9233475 19.0756 19.02265476 19.1727 19.12415477 19.2882 19.23045478 19.3992 19.3437

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479 19.5286 19.4639480 19.6582 19.5934481 19.7735 19.71585482 19.903 19.83825483 20.0369 19.96995484 20.1616 20.09925485 20.2863 20.22395486 20.4018 20.34405487 20.5452 20.4735488 20.6513 20.59825489 20.7718 20.71155490 20.8778 20.8248491 21.0028 20.9403492 21.1413 21.07205493 21.243 21.19215494 21.3629 21.30295495 21.4878 21.42535496 21.6082 21.548497 21.7142 21.6612498 21.8486 21.7814499 21.9868 21.9177500 22.1072 22.047501 22.2271 22.16715502 22.3428 22.28495503 22.458 22.4004504 22.5968 22.5274505 22.7357 22.66625506 22.8462 22.79095507 22.976 22.9111508 23.1004 23.0382509 23.2024 23.1514510 23.3267 23.26455511 23.4334 23.38005512 23.553 23.4932513 23.6736 23.6133514 23.7845 23.72905515 23.9184 23.85145516 24.0479 23.98315517 24.154 24.10095518 24.2697 24.21185519 24.4034 24.33655520 24.5053 24.45435521 24.6207 24.563522 24.7228 24.67175523 24.8333 24.77805524 24.9676 24.90045525 25.0689 25.01825526 25.1755 25.1222527 25.2906 25.23305528 25.402 25.3463529 25.4986 25.4503530 25.6237 25.56115531 25.7297 25.6767532 25.841 25.78535

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533 25.933 25.887534 26.0397 25.98635535 26.1318 26.08575536 26.2151 26.17345537 26.326 26.27055538 26.4319 26.37895539 26.5155 26.4737540 26.6076 26.56155541 26.7006 26.6541542 26.7926 26.7466543 26.8572 26.8249544 26.9546 26.9059545 27.0651 27.00985546 27.1533 27.1092547 27.25 27.20165548 27.3426 27.2963549 27.4534 27.398550 27.5687 27.51105551 27.666 27.61735552 27.7724 27.7192553 27.8878 27.8301554 28.0034 27.9456555 28.1234 28.0634556 28.2344 28.1789557 28.3452 28.2898558 28.4561 28.40065559 28.5578 28.50695560 28.6499 28.60385561 28.7474 28.69865562 28.849 28.7982563 28.9462 28.8976564 29.0521 28.99915565 29.1404 29.09625566 29.2462 29.1933567 29.3248 29.2855568 29.4128 29.3688569 29.5049 29.45885570 29.607 29.55595571 29.6945 29.65075572 29.7966 29.74555573 29.8794 29.838574 29.9904 29.9349575 30.0874 30.0389576 30.1796 30.1335577 30.2862 30.2329578 30.3875 30.33685579 30.4802 30.43385580 30.5908 30.5355581 30.7112 30.651582 30.8267 30.76895583 30.9286 30.87765584 31.0345 30.98155585 31.1457 31.0901586 31.2471 31.1964

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587 31.3537 31.3004588 31.4734 31.41355589 31.5845 31.52895590 31.6999 31.6422591 31.8158 31.75785592 31.9171 31.86645593 32.0238 31.97045594 32.0928 32.0583595 32.2084 32.1506596 32.3054 32.2569597 32.4116 32.3585598 32.518 32.4648599 32.6193 32.56865600 32.7075 32.6634601 32.7904 32.74895602 32.888 32.8392603 32.9754 32.9317604 33.054 33.0147605 33.1558 33.1049606 33.234 33.1949607 33.3315 33.28275608 33.4052 33.36835609 33.4788 33.442610 33.5392 33.509611 33.6132 33.5762612 33.7098 33.6615613 33.7888 33.7493614 33.8626 33.8257615 33.9458 33.9042616 34.0154 33.9806617 34.0982 34.0568618 34.1582 34.1282619 34.2418 34.2620 34.32 34.2809621 34.4125 34.36625622 34.4958 34.45415623 34.5648 34.5303624 34.6435 34.60415625 34.7084 34.67595626 34.7821 34.74525627 34.8426 34.81235628 34.9394 34.891629 35.0176 34.9785630 35.064 35.0408631 35.1474 35.1057632 35.2072 35.1773633 35.2858 35.2465634 35.3508 35.3183635 35.4244 35.3876636 35.5028 35.4636637 35.5864 35.5446638 35.6646 35.6255639 35.7433 35.70395640 35.799 35.77115

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641 35.8726 35.8358642 35.9375 35.90505643 36.0116 35.97455644 36.0806 36.0461645 36.1497 36.11515646 36.238 36.19385647 36.307 36.2725648 36.3669 36.33695649 36.446 36.40645650 36.4966 36.4713651 36.5702 36.5334652 36.6538 36.612653 36.7184 36.6861654 36.7874 36.7529655 36.8712 36.8293656 36.9356 36.9034657 37 36.9678658 37.0606 37.0303659 37.1344 37.0975660 37.1988 37.1666661 37.2494 37.2241662 37.31 37.2797663 37.37 37.34664 37.4206 37.3953665 37.4898 37.4552666 37.5412 37.5155667 37.6056 37.5734668 37.6424 37.624669 37.7068 37.6746670 37.7722 37.7395671 37.8274 37.7998672 37.8826 37.855673 37.9432 37.9129674 37.9894 37.9663675 38.0446 38.017676 38.1369 38.09075677 38.1836 38.16025678 38.248 38.2158679 38.317 38.2825680 38.3678 38.3424681 38.433 38.4004682 38.4974 38.4652683 38.548 38.5227684 38.6222 38.5851685 38.687 38.6546686 38.7284 38.7077687 38.8113 38.76985688 38.8718 38.84155689 38.9272 38.8995690 38.9916 38.9594691 39.0428 39.0172692 39.0984 39.0706693 39.1536 39.126694 39.2135 39.18355

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695 39.2644 39.23895696 39.3202 39.2923697 39.3708 39.3455698 39.4306 39.4007699 39.4767 39.45365700 39.542 39.50935701 39.588 39.565702 39.6478 39.6179703 39.7032 39.6755704 39.7638 39.7335705 39.8098 39.7868706 39.8512 39.8305707 39.9115 39.88135708 39.9718 39.94165709 40.0086 39.9902710 40.0592 40.0339711 40.1098 40.0845712 40.1612 40.1355713 40.2074 40.1843714 40.2442 40.2258715 40.304 40.2741716 40.3456 40.3248717 40.4016 40.3736718 40.4338 40.4177719 40.4844 40.4591720 40.5212 40.5028721 40.5764 40.5488722 40.6139 40.59515723 40.651 40.63245724 40.6786 40.6648725 40.7246 40.7016726 40.7706 40.7476727 40.8214 40.796728 40.8682 40.8448729 40.9004 40.8843730 40.9464 40.9234731 40.9556 40.951732 41.0346 40.9951733 41.067 41.0508734 41.1222 41.0946735 41.159 41.1406736 41.2096 41.1843737 41.2468 41.2282738 41.298 41.2724739 41.321 41.3095740 41.3716 41.3463741 41.413 41.3923742 41.4406 41.4268743 41.4872 41.4639744 41.5106 41.4989745 41.5658 41.5382746 41.6072 41.5865747 41.6486 41.6279748 41.6808 41.6647

Page 15: Area Bajo La Curva

749 41.69 41.6854750 41.7368 41.7134751 41.7784 41.7576752 41.806 41.7922753 41.8566 41.8313754 41.875 41.8658755 41.922 41.8985756 41.9542 41.9381757 41.9818 41.968758 42.0094 41.9956759 42.0324 42.0209760 42.0554 42.0439761 42.0646 42.06762 42.1061 42.08535763 42.1483 42.1272764 42.176 42.16215765 42.2174 42.1967766 42.2542 42.2358767 42.2818 42.268768 42.314 42.2979769 42.337 42.3255770 42.3605 42.34875771 42.3978 42.37915772 42.43 42.4139773 42.4484 42.4392774 42.4852 42.4668775 42.522 42.5036776 42.568 42.545777 42.6056 42.5868778 42.6334 42.6195779 42.6702 42.6518780 42.7116 42.6909781 42.7346 42.7231782 42.7576 42.7461783 42.799 42.7783784 42.8037 42.80135785 42.8366 42.82015786 42.8828 42.8597787 42.9058 42.8943788 42.9518 42.9288789 42.984 42.9679790 42.9887 42.98635791 43.0169 43.0028792 43.0494 43.03315793 43.0724 43.0609794 43.1046 43.0885795 43.1322 43.1184796 43.1506 43.1414797 43.1736 43.1621798 43.1736 43.1736799 43.2339 43.20375800 43.2479 43.2409801 43.2896 43.26875802 43.3172 43.3034

Page 16: Area Bajo La Curva

803 43.354 43.3356804 43.3678 43.3609805 43.3816 43.3747806 43.4276 43.4046807 43.4507 43.43915808 43.4836 43.46715809 43.5022 43.4929810 43.5252 43.5137811 43.539 43.5321812 43.5482 43.5436813 43.5758 43.562814 43.608 43.5919815 43.6264 43.6172816 43.6724 43.6494817 43.6958 43.6841818 43.724 43.7099819 43.747 43.7355820 43.7654 43.7562821 43.77 43.7677822 43.8068 43.7884823 43.8252 43.816824 43.8482 43.8367825 43.8942 43.8712826 43.908 43.9011827 43.908 43.908828 43.9313 43.91965829 43.9825 43.9569830 43.9964 43.98945831 44.0424 44.0194832 44.0424 44.0424833 44.0654 44.0539834 44.0884 44.0769835 44.0977 44.09305836 44.093 44.09535837 44.1259 44.10945838 44.14 44.13295839 44.1676 44.1538840 44.186 44.1768841 44.1906 44.1883842 44.2182 44.2044843 44.2504 44.2343844 44.2642 44.2573845 44.278 44.2711846 44.278 44.278847 44.2734 44.2757848 44.2734 44.2734849 44.278 44.2757850 44.2734 44.2757851 44.255 44.2642852 44.2596 44.2573853 44.2412 44.2504854 44.1906 44.2159855 44.1446 44.1676856 44.1722 44.1584

Page 17: Area Bajo La Curva

857 44.1998 44.186858 44.209 44.2044859 44.2044 44.2067860 44.186 44.1952861 44.1538 44.1699862 44.1492 44.1515863 44.1446 44.1469864 44.1538 44.1492865 44.1538 44.1538866 44.1353 44.14455867 44.1024 44.11885868 44.093 44.0977869 44.0884 44.0907870 44.0654 44.0769871 44.0562 44.0608872 44.0378 44.047873 44.0056 44.0217874 44.001 44.0033875 43.9593 43.98015876 43.9173 43.9383877 43.908 43.91265878 43.8942 43.9011879 43.8804 43.8873880 43.8574 43.8689881 43.8298 43.8436882 43.816 43.8229883 43.7884 43.8022884 43.7792 43.7838885 43.747 43.7631886 43.724 43.7355887 43.7193 43.72165888 43.7099 43.7146889 43.6817 43.6958890 43.654 43.66785891 43.631 43.6425892 43.6126 43.6218893 43.5712 43.5919894 43.539 43.5551895 43.5252 43.5321896 43.5068 43.516897 43.4975 43.50215898 43.4554 43.47645899 43.446 43.4507900 43.423 43.4345901 43.3908 43.4069902 43.3678 43.3793903 43.3494 43.3586904 43.3448 43.3471905 43.3126 43.3287906 43.2896 43.3011907 43.262 43.2758908 43.2432 43.2526909 43.2151 43.22915910 43.1782 43.19665

Page 18: Area Bajo La Curva

911 43.169 43.1736912 43.146 43.1575913 43.1184 43.1322914 43.0954 43.1069915 43.077 43.0862916 43.054 43.0655917 43.0401 43.04705918 42.9981 43.0191919 42.984 42.99105920 42.9564 42.9702921 42.938 42.9472922 42.915 42.9265923 42.9058 42.9104924 42.8736 42.8897925 42.8318 42.8527926 42.8084 42.8201927 42.799 42.8037928 42.7714 42.7852929 42.7484 42.7599930 42.73 42.7392931 42.707 42.7185932 42.7024 42.7047933 42.6656 42.684934 42.6242 42.6449935 42.6149 42.61955936 42.5868 42.60085937 42.5634 42.5751938 42.5496 42.5565939 42.522 42.5358940 42.5174 42.5197941 42.476 42.4967942 42.4346 42.4553943 42.43 42.4323944 42.4116 42.4208945 42.3932 42.4024946 42.3699 42.38155947 42.3418 42.35585948 42.3232 42.3325949 42.3002 42.3117950 42.2772 42.2887951 42.245 42.2611952 42.2404 42.2427953 42.2036 42.222954 42.1944 42.199955 42.1668 42.1806956 42.153 42.1599957 42.1107 42.13185958 42.1014 42.10605959 42.0738 42.0876960 42.06 42.0669961 42.0462 42.0531962 42.0186 42.0324963 41.9864 42.0025964 41.9726 41.9795

Page 19: Area Bajo La Curva

965 41.9634 41.968966 41.9357 41.94955967 41.9173 41.9265968 41.8891 41.9032969 41.875 41.88205970 41.8382 41.8566971 41.829 41.8336972 41.8014 41.8152973 41.783 41.7922974 41.7692 41.7761975 41.7415 41.75535976 41.7041 41.7228977 41.69 41.69705978 41.6762 41.6831979 41.6624 41.6693980 41.6256 41.644981 41.6164 41.621982 41.598 41.6072983 41.5704 41.5842984 41.552 41.5612985 41.5244 41.5382986 41.506 41.5152987 41.4966 41.5013988 41.4684 41.4825989 41.4544 41.4614990 41.4222 41.4383991 41.4176 41.4199992 41.39 41.4038993 41.3624 41.3762994 41.344 41.3532995 41.321 41.3325996 41.3164 41.3187997 41.2888 41.3026998 41.2703 41.27955999 41.2374 41.25385

1000 41.228 41.23271001 41.2096 41.21881002 41.1774 41.19351003 41.1682 41.17281004 41.1498 41.1591005 41.1314 41.14061006 41.113 41.12221007 41.09 41.10151008 41.0716 41.08081009 41.0532 41.06241010 41.0393 41.046251011 41.0158 41.027551012 40.9741 40.994951013 40.9602 40.967151014 40.9464 40.95331015 40.9464 40.94641016 40.928 40.93721017 40.9004 40.91421018 40.8682 40.8843

Page 20: Area Bajo La Curva

1019 40.8636 40.86591020 40.8449 40.854251021 40.8308 40.837851022 40.8074 40.81911023 40.7798 40.79361024 40.766 40.77291025 40.7384 40.75221026 40.7246 40.73151027 40.7154 40.721028 40.6832 40.69931029 40.6694 40.67631030 40.6602 40.66481031 40.6372 40.64871032 40.6186 40.62791033 40.5857 40.602151034 40.581 40.583351035 40.5718 40.57641036 40.5396 40.55571037 40.5258 40.53271038 40.5074 40.51661039 40.4936 40.50051040 40.4752 40.48441041 40.4522 40.46371042 40.443 40.44761043 40.4062 40.42461044 40.397 40.40161045 40.3876 40.39231046 40.3688 40.37821047 40.3547 40.361751048 40.3362 40.345451049 40.3086 40.32241050 40.2994 40.3041051 40.2672 40.28331052 40.2488 40.2581053 40.2166 40.23271054 40.212 40.21431055 40.212 40.2121056 40.189 40.20051057 40.1752 40.18211058 40.1566 40.16591059 40.1331 40.144851060 40.119 40.126051061 40.1052 40.11211062 40.0822 40.09371063 40.073 40.07761064 40.0454 40.05921065 40.0316 40.03851066 40.0178 40.02471067 40.0086 40.01321068 39.9764 39.99251069 39.9534 39.96491070 39.9488 39.95111071 39.9303 39.939551072 39.9068 39.91855

Page 21: Area Bajo La Curva

1073 39.8881 39.897451074 39.865 39.876551075 39.8558 39.86041076 39.842 39.84891077 39.842 39.8421078 39.8098 39.82591079 39.7914 39.80061080 39.7822 39.78681081 39.7545 39.768351082 39.7453 39.74991083 39.7406 39.742951084 39.7077 39.724151085 39.7077 39.70771086 39.6662 39.686951087 39.6524 39.65931088 39.6524 39.65241089 39.6248 39.63861090 39.6156 39.62021091 39.5972 39.60641092 39.5742 39.58571093 39.565 39.56961094 39.5558 39.56041095 39.5188 39.53731096 39.4908 39.50481097 39.4767 39.483751098 39.472 39.474351099 39.472 39.4721100 39.4628 39.46741101 39.4352 39.4491102 39.4214 39.42831103 39.4076 39.41451104 39.38 39.39381105 39.3754 39.37771106 39.3662 39.37081107 39.3432 39.35471108 39.3202 39.33171109 39.2972 39.30871110 39.288 39.29261111 39.288 39.2881112 39.2645 39.276251113 39.241 39.252751114 39.2411 39.241051115 39.2134 39.227251116 39.195 39.20421117 39.1858 39.19041118 39.1812 39.18351119 39.1444 39.16281120 39.1352 39.13981121 39.1076 39.12141122 39.1076 39.10761123 39.103 39.10531124 39.0892 39.09611125 39.0616 39.07541126 39.057 39.0593

Page 22: Area Bajo La Curva

1127 39.0241 39.040551128 39.0147 39.01941129 39.0054 39.010051130 38.9916 38.99851131 38.9778 38.98471132 38.9778 38.97781133 38.941 38.95941134 38.9272 38.93411135 38.918 38.92261136 38.9042 38.91111137 38.8858 38.8951138 38.8719 38.878851139 38.8625 38.86721140 38.8344 38.848451141 38.8297 38.832051142 38.8158 38.822751143 38.802 38.80891144 38.7652 38.78361145 38.756 38.76061146 38.7376 38.74681147 38.733 38.73531148 38.733 38.7331149 38.71 38.72151150 38.7008 38.70541151 38.6824 38.69161152 38.664 38.67321153 38.6456 38.65481154 38.641 38.64331155 38.6316 38.63631156 38.6128 38.62221157 38.6081 38.610451158 38.5802 38.594151159 38.5618 38.5711160 38.5526 38.55721161 38.5434 38.5481162 38.5342 38.53881163 38.5066 38.52041164 38.502 38.50431165 38.4882 38.49511166 38.456 38.47211167 38.4514 38.45371168 38.4468 38.44911169 38.4376 38.44221170 38.4006 38.41911171 38.3865 38.393551172 38.363 38.374751173 38.3677 38.365351174 38.363 38.365351175 38.3538 38.35841176 38.3308 38.34231177 38.3216 38.32621178 38.294 38.30781179 38.294 38.2941180 38.2848 38.2894

Page 23: Area Bajo La Curva

1181 38.271 38.27791182 38.2526 38.26181183 38.2388 38.24571184 38.2204 38.22961185 38.202 38.21121186 38.1882 38.19511187 38.1836 38.18591188 38.1696 38.17661189 38.1649 38.167251190 38.1414 38.153151191 38.1228 38.13211192 38.1182 38.12051193 38.109 38.11361194 38.086 38.09751195 38.086 38.0861196 38.0768 38.08141197 38.0446 38.06071198 38.0216 38.03311199 38.0124 38.0171200 37.994 38.00321201 37.994 37.9941202 37.994 37.9941203 37.994 37.9941204 37.9848 37.98941205 37.9526 37.96871206 37.9572 37.95491207 37.9433 37.950251208 37.9198 37.931551209 37.9104 37.91511210 37.901 37.90571211 37.8872 37.89411212 37.8642 37.87571213 37.8596 37.86191214 37.8504 37.8551215 37.832 37.84121216 37.809 37.82051217 37.8044 37.80671218 37.8044 37.80441219 37.786 37.79521220 37.7722 37.77911221 37.763 37.76761222 37.7536 37.75831223 37.7254 37.73951224 37.7114 37.71841225 37.716 37.71371226 37.6976 37.70681227 37.6884 37.6931228 37.67 37.67921229 37.6562 37.66311230 37.6378 37.6471231 37.624 37.63091232 37.624 37.6241233 37.6194 37.62171234 37.5918 37.6056

Page 24: Area Bajo La Curva

1235 37.5826 37.58721236 37.578 37.58031237 37.5688 37.57341238 37.5412 37.5551239 37.532 37.53661240 37.5273 37.529651241 37.5179 37.52261242 37.4944 37.506151243 37.4897 37.492051244 37.4804 37.485051245 37.4528 37.46661246 37.4482 37.45051247 37.439 37.44361248 37.439 37.4391249 37.4114 37.42521250 37.4114 37.41141251 37.3976 37.40451252 37.3838 37.39071253 37.3608 37.37231254 37.3516 37.35621255 37.347 37.34931256 37.3286 37.33781257 37.3378 37.33321258 37.3056 37.32171259 37.2821 37.293851260 37.2634 37.272751261 37.2728 37.26811262 37.2587 37.265751263 37.254 37.256351264 37.2356 37.24481265 37.2356 37.23561266 37.2126 37.22411267 37.208 37.21031268 37.1988 37.20341269 37.1758 37.18731270 37.1712 37.17351271 37.162 37.16661272 37.162 37.1621273 37.139 37.15051274 37.1298 37.13441275 37.1114 37.12061276 37.1022 37.10681277 37.0838 37.0931278 37.0746 37.07921279 37.07 37.07231280 37.0512 37.06061281 37.0512 37.05121282 37.0418 37.04651283 37.0324 37.03711284 37.0138 37.02311285 36.9954 37.00461286 36.9816 36.98851287 36.977 36.97931288 36.9724 36.9747

Page 25: Area Bajo La Curva

1289 36.9678 36.97011290 36.954 36.96091291 36.9172 36.93561292 36.908 36.91261293 36.9126 36.91031294 36.885 36.89881295 36.885 36.8851296 36.885 36.8851297 36.8666 36.87581298 36.8666 36.86661299 36.8436 36.85511300 36.839 36.84131301 36.8155 36.827251302 36.8249 36.82021303 36.7967 36.81081304 36.7874 36.792051305 36.7782 36.78281306 36.769 36.77361307 36.769 36.7691308 36.746 36.75751309 36.7322 36.73911310 36.7138 36.7231311 36.7092 36.71151312 36.7046 36.70691313 36.6954 36.71314 36.6862 36.69081315 36.6724 36.67931316 36.6724 36.67241317 36.6539 36.663151318 36.654 36.653951319 36.6352 36.64461320 36.607 36.62111321 36.607 36.6071322 36.607 36.6071323 36.5932 36.60011324 36.5886 36.59091325 36.5748 36.58171326 36.5426 36.55871327 36.5196 36.53111328 36.515 36.51731329 36.515 36.5151330 36.5104 36.51271331 36.515 36.51271332 36.492 36.50351333 36.5104 36.50121334 36.4736 36.4921335 36.4644 36.4691336 36.4552 36.45981337 36.446 36.45061338 36.4276 36.43681339 36.423 36.42531340 36.4183 36.420651341 36.3995 36.40891342 36.3948 36.39715

Page 26: Area Bajo La Curva

1343 36.3807 36.387751344 36.3668 36.373751345 36.353 36.35991346 36.3346 36.34381347 36.33 36.33231348 36.33 36.331349 36.3254 36.32771350 36.3208 36.32311351 36.2978 36.30931352 36.284 36.29091353 36.284 36.2841354 36.2748 36.27941355 36.2518 36.26331356 36.2472 36.24951357 36.238 36.24261358 36.238 36.2381359 36.2334 36.23571360 36.2104 36.22191361 36.1965 36.203451362 36.1919 36.19421363 36.1779 36.18491364 36.1685 36.17321365 36.1591 36.16381366 36.145 36.152051367 36.145 36.1451368 36.1358 36.14041369 36.1266 36.13121370 36.1174 36.1221371 36.1082 36.11281372 36.099 36.10361373 36.0852 36.09211374 36.0714 36.07831375 36.0576 36.06451376 36.053 36.05531377 36.0484 36.05071378 36.0438 36.04611379 36.0392 36.04151380 36.0116 36.02541381 36.007 36.00931382 35.9932 36.00011383 35.984 35.98861384 35.9656 35.97481385 35.9656 35.96561386 35.961 35.96331387 35.961 35.9611388 35.9563 35.958651389 35.9375 35.94691390 35.9187 35.92811391 35.914 35.916351392 35.914 35.9141393 35.9002 35.90711394 35.8772 35.88871395 35.8726 35.87491396 35.868 35.8703

Page 27: Area Bajo La Curva

1397 35.868 35.8681398 35.8542 35.86111399 35.8358 35.8451400 35.822 35.82891401 35.8082 35.81511402 35.8036 35.80591403 35.7806 35.79211404 35.7806 35.78061405 35.776 35.77831406 35.776 35.7761407 35.776 35.7761408 35.7619 35.768951409 35.7572 35.759551410 35.729 35.74311411 35.7337 35.731351412 35.729 35.731351413 35.7152 35.72211414 35.6968 35.7061415 35.6922 35.69451416 35.6876 35.68991417 35.683 35.68531418 35.6738 35.67841419 35.6692 35.67151420 35.66 35.66461421 35.6508 35.65541422 35.6278 35.63931423 35.6186 35.62321424 35.614 35.61631425 35.5956 35.60481426 35.591 35.59331427 35.5864 35.58871428 35.5864 35.58641429 35.5772 35.58181430 35.5634 35.57031431 35.5495 35.556451432 35.5496 35.549551433 35.5449 35.547251434 35.5262 35.535551435 35.5074 35.51681436 35.5074 35.50741437 35.4934 35.50041438 35.4981 35.495751439 35.4842 35.491151440 35.475 35.47961441 35.4612 35.46811442 35.4566 35.45891443 35.4428 35.44971444 35.4198 35.43131445 35.4198 35.41981446 35.4198 35.41981447 35.406 35.41291448 35.406 35.4061449 35.406 35.4061450 35.4014 35.4037

Page 28: Area Bajo La Curva

1451 35.383 35.39221452 35.3784 35.38071453 35.3554 35.36691454 35.36 35.35771455 35.3508 35.35541456 35.3278 35.33931457 35.3232 35.32551458 35.314 35.31861459 35.314 35.3141460 35.3093 35.311651461 35.2952 35.302251462 35.2858 35.29051463 35.2858 35.28581464 35.2717 35.278751465 35.267 35.269351466 35.267 35.2671467 35.244 35.25551468 35.244 35.2441469 35.221 35.23251470 35.2256 35.22331471 35.2164 35.2211472 35.2118 35.21411473 35.198 35.20491474 35.1842 35.19111475 35.1796 35.18191476 35.1704 35.1751477 35.1704 35.17041478 35.1612 35.16581479 35.1566 35.15891480 35.129 35.14281481 35.129 35.1291482 35.129 35.1291483 35.1198 35.12441484 35.1152 35.11751485 35.106 35.11061486 35.0876 35.09681487 35.0735 35.080551488 35.0548 35.064151489 35.0501 35.052451490 35.036 35.043051491 35.036 35.0361492 35.036 35.0361493 35.036 35.0361494 35.036 35.0361495 35.0268 35.03141496 35.0176 35.02221497 35.0038 35.01071498 34.9992 35.00151499 34.9946 34.99691500 34.9992 34.99691501 34.9808 34.991502 34.9624 34.97161503 34.9624 34.96241504 34.944 34.9532

Page 29: Area Bajo La Curva

1505 34.944 34.9441506 34.944 34.9441507 34.9394 34.94171508 34.9348 34.93711509 34.921 34.92791510 34.9026 34.91181511 34.9072 34.90491512 34.8934 34.90031513 34.8888 34.89111514 34.8658 34.87731515 34.8658 34.86581516 34.852 34.85891517 34.852 34.8521518 34.8473 34.849651519 34.852 34.849651520 34.8426 34.84731521 34.8285 34.835551522 34.8191 34.82381523 34.805 34.812051524 34.8097 34.807351525 34.7959 34.80281526 34.7866 34.791251527 34.7774 34.7821528 34.759 34.76821529 34.759 34.7591530 34.7544 34.75671531 34.759 34.75671532 34.7452 34.75211533 34.7314 34.73831534 34.7176 34.72451535 34.713 34.71531536 34.7084 34.71071537 34.69 34.69921538 34.6762 34.68311539 34.6808 34.67851540 34.667 34.67391541 34.667 34.6671542 34.6623 34.664651543 34.667 34.664651544 34.667 34.6671545 34.6482 34.65761546 34.6388 34.64351547 34.6482 34.64351548 34.6294 34.63881549 34.6108 34.62011550 34.6109 34.610851551 34.6016 34.606251552 34.5924 34.5971553 34.5924 34.59241554 34.5786 34.58551555 34.574 34.57631556 34.5648 34.56941557 34.5556 34.56021558 34.5556 34.5556

Page 30: Area Bajo La Curva

1559 34.5418 34.54871560 34.528 34.53491561 34.5234 34.52571562 34.5142 34.51881563 34.5142 34.51421564 34.4912 34.50271565 34.4912 34.49121566 34.482 34.48661567 34.482 34.4821568 34.4774 34.47971569 34.482 34.47971570 34.4774 34.47971571 34.4544 34.46591572 34.4544 34.45441573 34.436 34.44521574 34.4312 34.43361575 34.4313 34.431251576 34.4219 34.42661577 34.4219 34.42191578 34.4078 34.414851579 34.3984 34.40311580 34.3937 34.396051581 34.389 34.391351582 34.3798 34.38441583 34.3844 34.38211584 34.366 34.37521585 34.3614 34.36371586 34.3522 34.35681587 34.3476 34.34991588 34.3246 34.33611589 34.3292 34.32691590 34.3062 34.31771591 34.3108 34.30851592 34.297 34.30391593 34.297 34.2971594 34.297 34.2971595 34.2924 34.29471596 34.297 34.29471597 34.2786 34.28781598 34.2694 34.2741599 34.2786 34.2741600 34.2556 34.26711601 34.251 34.25331602 34.251 34.2511603 34.2372 34.24411604 34.2326 34.23491605 34.2234 34.2281606 34.2142 34.21881607 34.2096 34.21191608 34.205 34.20731609 34.2003 34.202651610 34.1956 34.197951611 34.1909 34.193251612 34.1862 34.18855

Page 31: Area Bajo La Curva

1613 34.1721 34.179151614 34.1674 34.169751615 34.1581 34.162751616 34.158 34.158051617 34.1396 34.14881618 34.1488 34.14421619 34.1304 34.13961620 34.1212 34.12581621 34.1166 34.11891622 34.112 34.11431623 34.1074 34.10971624 34.1074 34.10741625 34.112 34.10971626 34.0936 34.10281627 34.0844 34.0891628 34.0798 34.08211629 34.066 34.07291630 34.0614 34.06371631 34.0522 34.05681632 34.0614 34.05681633 34.043 34.05221634 34.0338 34.03841635 34.0246 34.02921636 34.0292 34.02691637 34.0246 34.02691638 34.02 34.02231639 34.0154 34.01771640 34.0016 34.00851641 33.997 33.99931642 33.997 33.9971643 33.974 33.98551644 33.9599 33.966951645 33.9505 33.95521646 33.9364 33.943451647 33.9598 33.94811648 33.9364 33.94811649 33.9364 33.93641650 33.9317 33.934051651 33.927 33.929351652 33.927 33.9271653 33.9224 33.92471654 33.9224 33.92241655 33.9132 33.91781656 33.8902 33.90171657 33.8902 33.89021658 33.881 33.88561659 33.8764 33.87871660 33.8764 33.87641661 33.881 33.87871662 33.8626 33.87181663 33.8534 33.8581664 33.8396 33.84651665 33.835 33.83731666 33.835 33.835

Page 32: Area Bajo La Curva

1667 33.835 33.8351668 33.8258 33.83041669 33.812 33.81891670 33.8258 33.81891671 33.8074 33.81661672 33.7982 33.80281673 33.7936 33.79591674 33.8074 33.80051675 33.7889 33.798151676 33.7608 33.774851677 33.7655 33.763151678 33.7514 33.758451679 33.7608 33.75611680 33.7514 33.75611681 33.742 33.74671682 33.742 33.7421683 33.742 33.7421684 33.7374 33.73971685 33.7236 33.73051686 33.7236 33.72361687 33.719 33.72131688 33.7052 33.71211689 33.7052 33.70521690 33.6914 33.69831691 33.6914 33.69141692 33.6914 33.69141693 33.6822 33.68681694 33.6638 33.6731695 33.6638 33.66381696 33.65 33.65691697 33.65 33.651698 33.65 33.651699 33.65 33.651700 33.6408 33.64541701 33.6408 33.64081702 33.6224 33.63161703 33.6132 33.61781704 33.6086 33.61091705 33.5948 33.60171706 33.5672 33.5811707 33.558 33.56261708 33.558 33.5581709 33.5626 33.56031710 33.5626 33.56261711 33.558 33.56031712 33.5533 33.555651713 33.558 33.555651714 33.558 33.5581715 33.558 33.5581716 33.5486 33.55331717 33.5392 33.54391718 33.5345 33.536851719 33.5251 33.52981720 33.5204 33.52275

Page 33: Area Bajo La Curva

1721 33.5157 33.518051722 33.5111 33.51341723 33.5064 33.508751724 33.4972 33.50181725 33.5018 33.49951726 33.4926 33.49721727 33.488 33.49031728 33.4788 33.48341729 33.4696 33.47421730 33.4696 33.46961731 33.465 33.46731732 33.4604 33.46271733 33.4558 33.45811734 33.4466 33.45121735 33.4512 33.44891736 33.4236 33.43741737 33.4236 33.42361738 33.4236 33.42361739 33.4098 33.41671740 33.4144 33.41211741 33.4006 33.40751742 33.396 33.39831743 33.3914 33.39371744 33.3868 33.38911745 33.373 33.37991746 33.373 33.3731747 33.373 33.3731748 33.373 33.3731749 33.3684 33.37071750 33.3546 33.36151751 33.3638 33.35921752 33.3454 33.35461753 33.3454 33.34541754 33.3454 33.34541755 33.3316 33.33851756 33.3269 33.329251757 33.3223 33.32461758 33.3176 33.319951759 33.3081 33.312851760 33.3082 33.308151761 33.2988 33.30351762 33.2941 33.296451763 33.2941 33.29411764 33.28 33.287051765 33.28 33.281766 33.2754 33.27771767 33.2708 33.27311768 33.28 33.27541769 33.2524 33.26621770 33.2616 33.2571771 33.2524 33.2571772 33.2386 33.24551773 33.2386 33.23861774 33.2202 33.2294

Page 34: Area Bajo La Curva

1775 33.211 33.21561776 33.2064 33.20871777 33.2064 33.20641778 33.1972 33.20181779 33.1926 33.19491780 33.1926 33.19261781 33.188 33.19031782 33.188 33.1881783 33.188 33.1881784 33.1834 33.18571785 33.1834 33.18341786 33.1788 33.18111787 33.1834 33.18111788 33.1604 33.17191789 33.1512 33.15581790 33.1512 33.15121791 33.142 33.14661792 33.142 33.1421793 33.142 33.1421794 33.1374 33.13971795 33.1328 33.13511796 33.1098 33.12131797 33.1098 33.10981798 33.1052 33.10751799 33.096 33.10061800 33.1006 33.09831801 33.096 33.09831802 33.096 33.0961803 33.0913 33.093651804 33.0913 33.09131805 33.0819 33.08661806 33.0819 33.08191807 33.0725 33.07721808 33.0584 33.065451809 33.0537 33.056051810 33.0492 33.051451811 33.0444 33.04681812 33.0352 33.03981813 33.0398 33.03751814 33.026 33.03291815 33.0214 33.02371816 33.0076 33.01451817 33.003 33.00531818 33.0076 33.00531819 33.003 33.00531820 33.003 33.0031821 32.9984 33.00071822 32.9938 32.99611823 32.9846 32.98921824 32.9892 32.98691825 32.9754 32.98231826 32.9892 32.98231827 32.9662 32.97771828 32.957 32.9616

Page 35: Area Bajo La Curva

1829 32.9662 32.96161830 32.9616 32.96391831 32.9524 32.9571832 32.9478 32.95011833 32.9524 32.95011834 32.934 32.94321835 32.9294 32.93171836 32.9202 32.92481837 32.9202 32.92021838 32.9248 32.92251839 32.911 32.91791840 32.911 32.9111841 32.911 32.9111842 32.9064 32.90871843 32.9018 32.90411844 32.8926 32.89721845 32.8742 32.88341846 32.8788 32.87651847 32.8742 32.87651848 32.8696 32.87191849 32.8603 32.864951850 32.8462 32.853251851 32.8321 32.839151852 32.8413 32.83671853 32.8274 32.834351854 32.8227 32.825051855 32.8274 32.825051856 32.818 32.82271857 32.818 32.8181858 32.818 32.8181859 32.818 32.8181860 32.818 32.8181861 32.8088 32.81341862 32.8042 32.80651863 32.8088 32.80651864 32.7996 32.80421865 32.7904 32.7951866 32.7766 32.78351867 32.7996 32.78811868 32.772 32.78581869 32.7766 32.77431870 32.772 32.77431871 32.7766 32.77431872 32.7582 32.76741873 32.749 32.75361874 32.749 32.7491875 32.7628 32.75591876 32.7536 32.75821877 32.7628 32.75821878 32.7306 32.74671879 32.7306 32.73061880 32.7214 32.7261881 32.726 32.72371882 32.726 32.726

Page 36: Area Bajo La Curva

1883 32.726 32.7261884 32.7214 32.72371885 32.7122 32.71681886 32.6938 32.7031887 32.6938 32.69381888 32.6892 32.69151889 32.6984 32.69381890 32.6846 32.69151891 32.6753 32.679951892 32.68 32.677651893 32.6659 32.672951894 32.6518 32.658851895 32.6659 32.658851896 32.6706 32.668251897 32.6471 32.658851898 32.6518 32.649451899 32.6424 32.64711900 32.6377 32.640051901 32.633 32.635351902 32.633 32.6331903 32.6192 32.62611904 32.6377 32.628451905 32.6238 32.630751906 32.6192 32.62151907 32.6146 32.61691908 32.61 32.61231909 32.6192 32.61461910 32.61 32.61461911 32.587 32.59851912 32.5916 32.58931913 32.587 32.58931914 32.5824 32.58471915 32.5778 32.58011916 32.5732 32.57551917 32.5732 32.57321918 32.5778 32.57551919 32.564 32.57091920 32.5548 32.55941921 32.5594 32.55711922 32.541 32.55021923 32.541 32.5411924 32.5364 32.53871925 32.5456 32.5411926 32.541 32.54331927 32.541 32.5411928 32.5364 32.53871929 32.5272 32.53181930 32.5272 32.52721931 32.5088 32.5181932 32.5272 32.5181933 32.5088 32.5181934 32.495 32.50191935 32.4904 32.49271936 32.495 32.4927

Page 37: Area Bajo La Curva

1937 32.4858 32.49041938 32.4674 32.47661939 32.4582 32.46281940 32.4674 32.46281941 32.4536 32.46051942 32.4536 32.45361943 32.4536 32.45361944 32.449 32.45131945 32.4536 32.45131946 32.449 32.45131947 32.4443 32.446651948 32.449 32.446651949 32.4443 32.446651950 32.4396 32.441951951 32.449 32.44431952 32.4302 32.43961953 32.4349 32.432551954 32.4349 32.43491955 32.4208 32.427851956 32.4161 32.418451957 32.4067 32.41141958 32.4114 32.409051959 32.4067 32.409051960 32.402 32.404351961 32.3928 32.39741962 32.3974 32.39511963 32.3928 32.39511964 32.3836 32.38821965 32.3744 32.3791966 32.3698 32.37211967 32.3744 32.37211968 32.3698 32.37211969 32.3606 32.36521970 32.3652 32.36291971 32.3514 32.35831972 32.356 32.35371973 32.356 32.3561974 32.3514 32.35371975 32.3422 32.34681976 32.3468 32.34451977 32.3376 32.34221978 32.3238 32.33071979 32.3192 32.32151980 32.3146 32.31691981 32.3146 32.31461982 32.31 32.31231983 32.31 32.311984 32.2962 32.30311985 32.3008 32.29851986 32.3054 32.30311987 32.287 32.29621988 32.2778 32.28241989 32.287 32.28241990 32.264 32.2755

Page 38: Area Bajo La Curva

1991 32.2732 32.26861992 32.264 32.26861993 32.2686 32.26631994 32.2686 32.26861995 32.264 32.26631996 32.264 32.2641997 32.2594 32.26171998 32.2502 32.25481999 32.2594 32.25482000 32.2502 32.25482001 32.2456 32.24792002 32.2364 32.2412003 32.2364 32.23642004 32.2318 32.23412005 32.2364 32.23412006 32.218 32.22722007 32.2225 32.220252008 32.218 32.220252009 32.2133 32.215652010 32.2179 32.21562011 32.2086 32.213252012 32.2039 32.206252013 32.1945 32.19922014 32.1945 32.19452015 32.1898 32.192152016 32.1757 32.182752017 32.1804 32.178052018 32.171 32.17572019 32.1757 32.173352020 32.1757 32.17572021 32.171 32.173352022 32.171 32.1712023 32.1664 32.16872024 32.1664 32.16642025 32.1526 32.15952026 32.1526 32.15262027 32.148 32.15032028 32.1296 32.13882029 32.1342 32.13192030 32.125 32.12962031 32.102 32.11352032 32.0928 32.09742033 32.0882 32.09052034 32.0974 32.09282035 32.0882 32.09282036 32.0882 32.08822037 32.079 32.08362038 32.079 32.0792039 32.079 32.0792040 32.079 32.0792041 32.0836 32.08132042 32.079 32.08132043 32.079 32.0792044 32.079 32.079

Page 39: Area Bajo La Curva

2045 32.079 32.0792046 32.079 32.0792047 32.079 32.0792048 32.079 32.0792049 32.0744 32.07672050 32.079 32.07672051 32.0744 32.07672052 32.0744 32.07442053 32.0698 32.07212054 32.0698 32.06982055 32.0698 32.06982056 32.0698 32.06982057 32.056 32.06292058 32.0422 32.04912059 32.0422 32.04222060 32.0376 32.03992061 32.0376 32.03762062 32.033 32.03532063 32.0376 32.03532064 32.0284 32.0332065 32.033 32.03072066 32.0284 32.03072067 32.0192 32.02382068 32.033 32.02612069 32.0008 32.01692070 32.01 32.00542071 32.0054 32.00772072 31.9962 32.00082073 31.9869 31.991552074 31.9962 31.991552075 31.987 31.99162076 31.9916 31.98932077 31.9823 31.986952078 31.9823 31.98232079 31.9823 31.98232080 31.9776 31.979952081 31.9776 31.97762082 31.9682 31.97292083 31.9682 31.96822084 31.9682 31.96822085 31.9541 31.961152086 31.9541 31.95412087 31.9494 31.951752088 31.9494 31.94942089 31.9447 31.947052090 31.94 31.942352091 31.9447 31.942352092 31.9355 31.94012093 31.9308 31.933152094 31.9308 31.93082095 31.9354 31.93312096 31.9309 31.933152097 31.917 31.923952098 31.8986 31.9078

Page 40: Area Bajo La Curva

2099 31.8986 31.89862100 31.9078 31.90322101 31.9032 31.90552102 31.9032 31.90322103 31.8986 31.90092104 31.894 31.89632105 31.894 31.8942106 31.8894 31.89172107 31.894 31.89172108 31.894 31.8942109 31.8894 31.89172110 31.8756 31.88252111 31.8664 31.8712112 31.8664 31.86642113 31.8664 31.86642114 31.8664 31.86642115 31.8664 31.86642116 31.8526 31.85952117 31.8526 31.85262118 31.848 31.85032119 31.8434 31.84572120 31.8388 31.84112121 31.8434 31.84112122 31.8388 31.84112123 31.8342 31.83652124 31.8388 31.83652125 31.8342 31.83652126 31.825 31.82962127 31.8204 31.82272128 31.8158 31.81812129 31.825 31.82042130 31.8158 31.82042131 31.8158 31.81582132 31.802 31.80892133 31.8066 31.80432134 31.8066 31.80662135 31.802 31.80432136 31.7928 31.79742137 31.7974 31.79512138 31.7928 31.79512139 31.7928 31.79282140 31.7882 31.79052141 31.7882 31.78822142 31.7882 31.78822143 31.7744 31.78132144 31.7744 31.77442145 31.779 31.77672146 31.7651 31.772052147 31.7559 31.76052148 31.7513 31.75362149 31.7606 31.755952150 31.7466 31.75362151 31.7559 31.751252152 31.7418 31.74885

Page 41: Area Bajo La Curva

2153 31.7419 31.741852154 31.7372 31.739552155 31.7278 31.73252156 31.7184 31.72312157 31.7184 31.71842158 31.7137 31.716052159 31.709 31.711352160 31.7137 31.711352161 31.7137 31.71372162 31.709 31.711352163 31.709 31.7092164 31.709 31.7092165 31.709 31.7092166 31.709 31.7092167 31.709 31.7092168 31.709 31.7092169 31.7044 31.70672170 31.6952 31.69982171 31.6952 31.69522172 31.6998 31.69752173 31.6952 31.69752174 31.6814 31.68832175 31.6722 31.67682176 31.6768 31.67452177 31.686 31.68142178 31.6722 31.67912179 31.6768 31.67452180 31.6676 31.67222181 31.6676 31.66762182 31.6676 31.66762183 31.663 31.66532184 31.663 31.6632185 31.6584 31.66072186 31.663 31.66072187 31.6538 31.65842188 31.6492 31.65152189 31.64 31.64462190 31.6538 31.64692191 31.6262 31.642192 31.6354 31.63082193 31.6262 31.63082194 31.617 31.62162195 31.6216 31.61932196 31.617 31.61932197 31.6262 31.62162198 31.617 31.62162199 31.617 31.6172200 31.617 31.6172201 31.6124 31.61472202 31.6078 31.61012203 31.6124 31.61012204 31.6032 31.60782205 31.6032 31.60322206 31.6078 31.6055

Page 42: Area Bajo La Curva

2207 31.6032 31.60552208 31.5848 31.5942209 31.5848 31.58482210 31.5894 31.58712211 31.5848 31.58712212 31.5755 31.580152213 31.5663 31.57092214 31.5709 31.56862215 31.5663 31.56862216 31.5663 31.56632217 31.5616 31.563952218 31.5616 31.56162219 31.5616 31.56162220 31.5616 31.56162221 31.5475 31.554552222 31.5569 31.55222223 31.5428 31.549852224 31.5475 31.545152225 31.5381 31.54282226 31.524 31.531052227 31.5287 31.526352228 31.5287 31.52872229 31.524 31.526352230 31.524 31.5242231 31.524 31.5242232 31.5287 31.526352233 31.524 31.526352234 31.524 31.5242235 31.5148 31.51942236 31.5194 31.51712237 31.5194 31.51942238 31.5056 31.51252239 31.5194 31.51252240 31.5148 31.51712241 31.5102 31.51252242 31.4964 31.50332243 31.4872 31.49182244 31.4872 31.48722245 31.4872 31.48722246 31.5056 31.49642247 31.4826 31.49412248 31.4826 31.48262249 31.4734 31.4782250 31.4734 31.47342251 31.478 31.47572252 31.4734 31.47572253 31.4826 31.4782254 31.4596 31.47112255 31.4688 31.46422256 31.4688 31.46882257 31.4642 31.46652258 31.4504 31.45732259 31.455 31.45272260 31.4458 31.4504

Page 43: Area Bajo La Curva

2261 31.432 31.43892262 31.4596 31.44582263 31.4458 31.45272264 31.4412 31.44352265 31.432 31.43662266 31.432 31.4322267 31.4274 31.42972268 31.432 31.42972269 31.432 31.4322270 31.4274 31.42972271 31.432 31.42972272 31.432 31.4322273 31.4274 31.42972274 31.4182 31.42282275 31.4274 31.42282276 31.3998 31.41362277 31.3998 31.39982278 31.409 31.40442279 31.3998 31.40442280 31.4044 31.40212281 31.4044 31.40442282 31.3952 31.39982283 31.3906 31.39292284 31.3952 31.39292285 31.386 31.39062286 31.3722 31.37912287 31.386 31.37912288 31.3676 31.37682289 31.3492 31.35842290 31.363 31.35612291 31.3676 31.36532292 31.3492 31.35842293 31.3492 31.34922294 31.3446 31.34692295 31.3446 31.34462296 31.3492 31.34692297 31.3446 31.34692298 31.34 31.34232299 31.34 31.342300 31.34 31.342301 31.34 31.342302 31.34 31.342303 31.34 31.342304 31.34 31.342305 31.3353 31.337652306 31.34 31.337652307 31.34 31.342308 31.3353 31.337652309 31.34 31.337652310 31.3353 31.337652311 31.3306 31.332952312 31.3353 31.332952313 31.3259 31.33062314 31.3306 31.32825

Page 44: Area Bajo La Curva

2315 31.3118 31.32122316 31.3212 31.31652317 31.3165 31.318852318 31.3071 31.31182319 31.3118 31.309452320 31.3024 31.30712321 31.3071 31.304752322 31.3024 31.304752323 31.2977 31.300052324 31.2977 31.29772325 31.293 31.295352326 31.2884 31.29072327 31.2977 31.293052328 31.2839 31.29082329 31.2931 31.28852330 31.293 31.293052331 31.2885 31.290752332 31.27 31.279252333 31.2746 31.27232334 31.2792 31.27692335 31.2838 31.28152336 31.27 31.27692337 31.2608 31.26542338 31.2608 31.26082339 31.2516 31.25622340 31.2516 31.25162341 31.2608 31.25622342 31.2516 31.25622343 31.2516 31.25162344 31.2516 31.25162345 31.247 31.24932346 31.247 31.2472347 31.247 31.2472348 31.2516 31.24932349 31.247 31.24932350 31.2424 31.24472351 31.2424 31.24242352 31.247 31.24472353 31.2424 31.24472354 31.2424 31.24242355 31.2332 31.23782356 31.2378 31.23552357 31.224 31.23092358 31.224 31.2242359 31.2102 31.21712360 31.2148 31.21252361 31.2148 31.21482362 31.2102 31.21252363 31.2194 31.21482364 31.201 31.21022365 31.201 31.2012366 31.2056 31.20332367 31.201 31.20332368 31.2102 31.2056

Page 45: Area Bajo La Curva

2369 31.1964 31.20332370 31.1918 31.19412371 31.1918 31.19182372 31.1826 31.18722373 31.1964 31.18952374 31.1826 31.18952375 31.1826 31.18262376 31.178 31.18032377 31.178 31.1782378 31.1734 31.17572379 31.1734 31.17342380 31.155 31.16422381 31.1734 31.16422382 31.155 31.16422383 31.1596 31.15732384 31.155 31.15732385 31.1596 31.15732386 31.155 31.15732387 31.155 31.1552388 31.155 31.1552389 31.1596 31.15732390 31.155 31.15732391 31.155 31.1552392 31.155 31.1552393 31.1458 31.15042394 31.1412 31.14352395 31.1412 31.14122396 31.1458 31.14352397 31.1274 31.13662398 31.1274 31.12742399 31.132 31.12972400 31.132 31.1322401 31.1228 31.12742402 31.132 31.12742403 31.1135 31.122752404 31.1228 31.118152405 31.1274 31.12512406 31.109 31.11822407 31.1136 31.11132408 31.1136 31.11362409 31.1136 31.11362410 31.1043 31.108952411 31.109 31.106652412 31.109 31.1092413 31.1043 31.106652414 31.0949 31.09962415 31.0949 31.09492416 31.0996 31.097252417 31.1043 31.101952418 31.0855 31.09492419 31.0808 31.083152420 31.0855 31.083152421 31.0855 31.08552422 31.0667 31.0761

Page 46: Area Bajo La Curva

2423 31.0808 31.073752424 31.0667 31.073752425 31.0667 31.06672426 31.0761 31.07142427 31.0714 31.073752428 31.0667 31.069052429 31.062 31.064352430 31.062 31.0622431 31.062 31.0622432 31.0574 31.05972433 31.0574 31.05742434 31.062 31.05972435 31.0574 31.05972436 31.062 31.05972437 31.0528 31.05742438 31.0528 31.05282439 31.0528 31.05282440 31.0528 31.05282441 31.0574 31.05512442 31.0436 31.05052443 31.0436 31.04362444 31.0528 31.04822445 31.0528 31.05282446 31.0482 31.05052447 31.0298 31.0392448 31.0298 31.02982449 31.0252 31.02752450 31.0344 31.02982451 31.0206 31.02752452 31.0114 31.0162453 31.0252 31.01832454 31.0206 31.02292455 31.0114 31.0162456 31.0114 31.01142457 31.0022 31.00682458 31.0022 31.00222459 31.016 31.00912460 30.9884 31.00222461 30.993 30.99072462 30.9976 30.99532463 30.9884 30.9932464 30.9884 30.98842465 30.9838 30.98612466 30.9838 30.98382467 30.9838 30.98382468 30.9838 30.98382469 30.97 30.97692470 30.9792 30.97462471 30.9746 30.97692472 30.97 30.97232473 30.97 30.972474 30.97 30.972475 30.97 30.972476 30.97 30.97

Page 47: Area Bajo La Curva

2477 30.97 30.972478 30.97 30.972479 30.97 30.972480 30.97 30.972481 30.97 30.972482 30.97 30.972483 30.97 30.972484 30.97 30.972485 30.9654 30.96772486 30.9608 30.96312487 30.97 30.96542488 30.9608 30.96542489 30.9608 30.96082490 30.9562 30.95852491 30.9516 30.95392492 30.9654 30.95852493 30.9378 30.95162494 30.9608 30.94932495 30.947 30.95392496 30.9332 30.94012497 30.9424 30.93782498 30.9424 30.94242499 30.9378 30.94012500 30.9286 30.93322501 30.9286 30.92862502 30.9332 30.93092503 30.924 30.92862504 30.9286 30.92632505 30.9194 30.9242506 30.924 30.92172507 30.9286 30.92632508 30.9194 30.9242509 30.9194 30.91942510 30.9194 30.91942511 30.9102 30.91482512 30.9148 30.91252513 30.9148 30.91482514 30.901 30.90792515 30.9102 30.90562516 30.9148 30.91252517 30.9056 30.91022518 30.8964 30.9012519 30.8918 30.89412520 30.8918 30.89182521 30.8964 30.89412522 30.8918 30.89412523 30.8872 30.88952524 30.878 30.88262525 30.8826 30.88032526 30.8918 30.88722527 30.8872 30.88952528 30.8733 30.880252529 30.878 30.875652530 30.8733 30.87565

Page 48: Area Bajo La Curva

2531 30.8733 30.87332532 30.878 30.875652533 30.878 30.8782534 30.878 30.8782535 30.878 30.8782536 30.8686 30.87332537 30.8733 30.870952538 30.8639 30.86862539 30.8639 30.86392540 30.8686 30.866252541 30.8592 30.86392542 30.8639 30.861552543 30.8451 30.85452544 30.8498 30.847452545 30.8545 30.852152546 30.8404 30.847452547 30.8639 30.852152548 30.8498 30.856852549 30.8451 30.847452550 30.8404 30.842752551 30.8405 30.840452552 30.8451 30.84282553 30.8357 30.84042554 30.8357 30.83572555 30.8357 30.83572556 30.8358 30.835752557 30.8264 30.83112558 30.8264 30.82642559 30.8218 30.82412560 30.8265 30.824152561 30.8265 30.82652562 30.8218 30.824152563 30.8034 30.81262564 30.8172 30.81032565 30.8172 30.81722566 30.7988 30.8082567 30.8218 30.81032568 30.808 30.81492569 30.7988 30.80342570 30.7942 30.79652571 30.8034 30.79882572 30.7988 30.80112573 30.7942 30.79652574 30.7942 30.79422575 30.7942 30.79422576 30.7942 30.79422577 30.785 30.78962578 30.7896 30.78732579 30.7896 30.78962580 30.785 30.78732581 30.7896 30.78732582 30.785 30.78732583 30.7804 30.78272584 30.785 30.7827

Page 49: Area Bajo La Curva

2585 30.7804 30.78272586 30.785 30.78272587 30.7804 30.78272588 30.7804 30.78042589 30.7758 30.77812590 30.7804 30.77812591 30.7804 30.78042592 30.785 30.78272593 30.7712 30.77812594 30.7712 30.77122595 30.7758 30.77352596 30.7666 30.77122597 30.7574 30.7622598 30.7712 30.76432599 30.7574 30.76432600 30.762 30.75972601 30.7574 30.75972602 30.7482 30.75282603 30.7528 30.75052604 30.7436 30.74822605 30.7574 30.75052606 30.7436 30.75052607 30.739 30.74132608 30.7482 30.74362609 30.739 30.74362610 30.7482 30.74362611 30.739 30.74362612 30.739 30.7392613 30.7206 30.72982614 30.7344 30.72752615 30.739 30.73672616 30.7344 30.73672617 30.7252 30.72982618 30.7344 30.72982619 30.7252 30.72982620 30.716 30.72062621 30.7206 30.71832622 30.716 30.71832623 30.7114 30.71372624 30.7114 30.71142625 30.7114 30.71142626 30.7068 30.70912627 30.7068 30.70682628 30.7068 30.70682629 30.7068 30.70682630 30.6976 30.70222631 30.6929 30.695252632 30.693 30.692952633 30.7022 30.69762634 30.6976 30.69992635 30.7022 30.69992636 30.693 30.69762637 30.6976 30.69532638 30.693 30.6953

Page 50: Area Bajo La Curva

2639 30.6883 30.690652640 30.6883 30.68832641 30.6883 30.68832642 30.693 30.690652643 30.693 30.6932644 30.6883 30.690652645 30.6836 30.685952646 30.6883 30.685952647 30.6883 30.68832648 30.6836 30.685952649 30.6883 30.685952650 30.6836 30.685952651 30.6695 30.676552652 30.6696 30.669552653 30.6789 30.674252654 30.6695 30.67422655 30.6601 30.66482656 30.6508 30.655452657 30.6648 30.65782658 30.6509 30.657852659 30.6508 30.650852660 30.6508 30.65082661 30.6462 30.64852662 30.6508 30.64852663 30.6415 30.646152664 30.6414 30.641452665 30.6369 30.639152666 30.6276 30.632252667 30.6322 30.62992668 30.6276 30.62992669 30.6369 30.632252670 30.6092 30.623052671 30.6092 30.60922672 30.6184 30.61382673 30.6184 30.61842674 30.6138 30.61612675 30.6138 30.61382676 30.6138 30.61382677 30.6046 30.60922678 30.6046 30.60462679 30.6046 30.60462680 30.6 30.60232681 30.6046 30.60232682 30.6092 30.60692683 30.6 30.60462684 30.6 30.62685 30.6 30.62686 30.6 30.62687 30.6 30.62688 30.6 30.62689 30.6 30.62690 30.6 30.62691 30.6 30.62692 30.6 30.6

Page 51: Area Bajo La Curva

2693 30.6046 30.60232694 30.6 30.60232695 30.6046 30.60232696 30.6 30.60232697 30.6 30.62698 30.6 30.62699 30.6 30.62700 30.5954 30.59772701 30.6 30.59772702 30.6 30.62703 30.5908 30.59542704 30.5908 30.59082705 30.5954 30.59312706 30.6 30.59772707 30.5908 30.59542708 30.5954 30.59312709 30.5908 30.59312710 30.5954 30.59312711 30.5862 30.59082712 30.5908 30.58852713 30.5816 30.58622714 30.5816 30.58162715 30.5724 30.5772716 30.577 30.57472717 30.5632 30.57012718 30.5632 30.56322719 30.5678 30.56552720 30.5632 30.56552721 30.5586 30.56092722 30.5678 30.56322723 30.5724 30.57012724 30.5632 30.56782725 30.554 30.55862726 30.554 30.5542727 30.554 30.5542728 30.5586 30.55632729 30.5494 30.5542730 30.554 30.55172731 30.5586 30.55632732 30.554 30.55632733 30.5494 30.55172734 30.5586 30.5542735 30.5448 30.55172736 30.5448 30.54482737 30.5494 30.54712738 30.5494 30.54942739 30.5356 30.54252740 30.5448 30.54022741 30.5448 30.54482742 30.5448 30.54482743 30.5356 30.54022744 30.5264 30.5312745 30.5356 30.5312746 30.5218 30.5287

Page 52: Area Bajo La Curva

2747 30.5126 30.51722748 30.5172 30.51492749 30.5126 30.51492750 30.5264 30.51952751 30.5218 30.52412752 30.5172 30.51952753 30.5126 30.51492754 30.5126 30.51262755 30.5218 30.51722756 30.508 30.51492757 30.5126 30.51032758 30.5126 30.51262759 30.508 30.51032760 30.5126 30.51032761 30.508 30.51032762 30.508 30.5082763 30.508 30.5082764 30.508 30.5082765 30.5034 30.50572766 30.508 30.50572767 30.508 30.5082768 30.5034 30.50572769 30.4988 30.50112770 30.4988 30.49882771 30.4942 30.49652772 30.4896 30.49192773 30.5034 30.49652774 30.5034 30.50342775 30.5034 30.50342776 30.4942 30.49882777 30.508 30.50112778 30.4896 30.49882779 30.4942 30.49192780 30.485 30.48962781 30.4804 30.48272782 30.4758 30.47812783 30.4758 30.47582784 30.4666 30.47122785 30.4758 30.47122786 30.4712 30.47352787 30.4804 30.47582788 30.462 30.47122789 30.4666 30.46432790 30.4712 30.46892791 30.4666 30.46892792 30.462 30.46432793 30.462 30.4622794 30.4619 30.461952795 30.462 30.461952796 30.4573 30.459652797 30.4479 30.45262798 30.4573 30.45262799 30.4526 30.454952800 30.4573 30.45495

Page 53: Area Bajo La Curva

2801 30.4573 30.45732802 30.4573 30.45732803 30.4479 30.45262804 30.4338 30.440852805 30.4479 30.440852806 30.4479 30.44792807 30.4526 30.450252808 30.415 30.43382809 30.4385 30.426752810 30.4338 30.436152811 30.4385 30.436152812 30.4244 30.431452813 30.4338 30.42912814 30.4432 30.43852815 30.4291 30.436152816 30.4197 30.42442817 30.4291 30.42442818 30.415 30.422052819 30.4244 30.41972820 30.4197 30.422052821 30.4197 30.41972822 30.415 30.417352823 30.4197 30.417352824 30.4244 30.422052825 30.4197 30.422052826 30.4151 30.41742827 30.415 30.415052828 30.415 30.4152829 30.415 30.4152830 30.415 30.4152831 30.415 30.4152832 30.4105 30.412752833 30.415 30.412752834 30.415 30.4152835 30.4058 30.41042836 30.415 30.41042837 30.415 30.4152838 30.4104 30.41272839 30.4104 30.41042840 30.392 30.40122841 30.4012 30.39662842 30.4104 30.40582843 30.4012 30.40582844 30.4012 30.40122845 30.4104 30.40582846 30.4058 30.40812847 30.3966 30.40122848 30.3782 30.38742849 30.3874 30.38282850 30.4012 30.39432851 30.3828 30.3922852 30.3874 30.38512853 30.3874 30.38742854 30.3874 30.3874

Page 54: Area Bajo La Curva

2855 30.3782 30.38282856 30.369 30.37362857 30.3828 30.37592858 30.3828 30.38282859 30.369 30.37592860 30.3736 30.37132861 30.369 30.37132862 30.3644 30.36672863 30.3736 30.3692864 30.369 30.37132865 30.369 30.3692866 30.369 30.3692867 30.3644 30.36672868 30.3644 30.36442869 30.3644 30.36442870 30.3598 30.36212871 30.3644 30.36212872 30.3552 30.35982873 30.369 30.36212874 30.3552 30.36212875 30.3644 30.35982876 30.3506 30.35752877 30.3506 30.35062878 30.3552 30.35292879 30.3552 30.35522880 30.3414 30.34832881 30.346 30.34372882 30.346 30.3462883 30.346 30.3462884 30.3506 30.34832885 30.3414 30.3462886 30.3506 30.3462887 30.3368 30.34372888 30.3322 30.33452889 30.3276 30.32992890 30.3276 30.32762891 30.323 30.32532892 30.3322 30.32762893 30.3276 30.32992894 30.3276 30.32762895 30.3276 30.32762896 30.323 30.32532897 30.3276 30.32532898 30.3184 30.3232899 30.3184 30.31842900 30.323 30.32072901 30.323 30.3232902 30.323 30.3232903 30.323 30.3232904 30.3184 30.32072905 30.3184 30.31842906 30.323 30.32072907 30.3184 30.32072908 30.3184 30.3184

Page 55: Area Bajo La Curva

2909 30.323 30.32072910 30.3184 30.32072911 30.3 30.30922912 30.3138 30.30692913 30.3184 30.31612914 30.3184 30.31842915 30.3092 30.31382916 30.3046 30.30692917 30.3092 30.30692918 30.3046 30.30692919 30.3184 30.31152920 30.3092 30.31382921 30.2862 30.29772922 30.2908 30.28852923 30.2908 30.29082924 30.3 30.29542925 30.2862 30.29312926 30.3 30.29312927 30.2862 30.29312928 30.2954 30.29082929 30.2862 30.29082930 30.277 30.28162931 30.2862 30.28162932 30.2862 30.28622933 30.2816 30.28392934 30.2816 30.28162935 30.277 30.27932936 30.277 30.2772937 30.2862 30.28162938 30.2816 30.28392939 30.2678 30.27472940 30.277 30.27242941 30.2586 30.26782942 30.2724 30.26552943 30.2632 30.26782944 30.2632 30.26322945 30.2494 30.25632946 30.254 30.25172947 30.2586 30.25632948 30.254 30.25632949 30.2494 30.25172950 30.2402 30.24482951 30.2632 30.25172952 30.2448 30.2542953 30.2494 30.24712954 30.2402 30.24482955 30.2494 30.24482956 30.231 30.24022957 30.2494 30.24022958 30.231 30.24022959 30.231 30.2312960 30.2356 30.23332961 30.2356 30.23562962 30.231 30.2333

Page 56: Area Bajo La Curva

2963 30.231 30.2312964 30.2356 30.23332965 30.231 30.23332966 30.2356 30.23332967 30.2402 30.23792968 30.231 30.23562969 30.231 30.2312970 30.231 30.2312971 30.231 30.2312972 30.2356 30.23332973 30.231 30.23332974 30.231 30.2312975 30.2263 30.228652976 30.231 30.228652977 30.231 30.2312978 30.231 30.2312979 30.231 30.2312980 30.231 30.2312981 30.231 30.2312982 30.2216 30.22632983 30.231 30.22632984 30.2263 30.228652985 30.2263 30.22632986 30.2216 30.223952987 30.2169 30.219252988 30.2263 30.22162989 30.231 30.228652990 30.2169 30.223952991 30.2169 30.21692992 30.2216 30.219252993 30.2216 30.22162994 30.1981 30.209852995 30.2169 30.20752996 30.1981 30.20752997 30.2028 30.200452998 30.2122 30.20752999 30.2169 30.214553000 30.1934 30.205153001 30.2075 30.200453002 30.1981 30.20283003 30.2122 30.205153004 30.1934 30.20283005 30.1934 30.19343006 30.1934 30.19343007 30.1935 30.193453008 30.1887 30.19113009 30.1887 30.18873010 30.1887 30.18873011 30.184 30.186353012 30.1934 30.18873013 30.1841 30.188753014 30.1887 30.18643015 30.184 30.186353016 30.184 30.184

Page 57: Area Bajo La Curva

3017 30.1887 30.186353018 30.184 30.186353019 30.184 30.1843020 30.184 30.1843021 30.1795 30.181753022 30.184 30.181753023 30.184 30.1843024 30.1794 30.18173025 30.184 30.18173026 30.1794 30.18173027 30.1702 30.17483028 30.1748 30.17253029 30.1748 30.17483030 30.1702 30.17253031 30.1748 30.17253032 30.1656 30.17023033 30.1748 30.17023034 30.1564 30.16563035 30.1656 30.1613036 30.1564 30.1613037 30.1656 30.1613038 30.1518 30.15873039 30.1518 30.15183040 30.1426 30.14723041 30.1564 30.14953042 30.161 30.15873043 30.1426 30.15183044 30.1518 30.14723045 30.1472 30.14953046 30.1472 30.14723047 30.1426 30.14493048 30.1334 30.1383049 30.138 30.13573050 30.1426 30.14033051 30.1426 30.14263052 30.1426 30.14263053 30.138 30.14033054 30.138 30.1383055 30.138 30.1383056 30.138 30.1383057 30.138 30.1383058 30.138 30.1383059 30.1426 30.14033060 30.1334 30.1383061 30.1334 30.13343062 30.138 30.13573063 30.1334 30.13573064 30.1334 30.13343065 30.138 30.13573066 30.1288 30.13343067 30.138 30.13343068 30.138 30.1383069 30.138 30.1383070 30.1288 30.1334

Page 58: Area Bajo La Curva

3071 30.1288 30.12883072 30.1334 30.13113073 30.1334 30.13343074 30.1242 30.12883075 30.1334 30.12883076 30.115 30.12423077 30.1242 30.11963078 30.1334 30.12883079 30.115 30.12423080 30.1196 30.11733081 30.115 30.11733082 30.115 30.1153083 30.1058 30.11043084 30.1104 30.10813085 30.0966 30.10353086 30.115 30.10583087 30.115 30.1153088 30.1012 30.10813089 30.1058 30.10353090 30.1012 30.10353091 30.1012 30.10123092 30.0966 30.09893093 30.1104 30.10353094 30.092 30.10123095 30.1012 30.09663096 30.092 30.09663097 30.0966 30.09433098 30.0874 30.0923099 30.092 30.08973100 30.092 30.0923101 30.0966 30.09433102 30.0966 30.09663103 30.092 30.09433104 30.1012 30.09663105 30.0828 30.0923106 30.0828 30.08283107 30.0874 30.08513108 30.0736 30.08053109 30.0782 30.07593110 30.0828 30.08053111 30.0782 30.08053112 30.0828 30.08053113 30.0736 30.07823114 30.092 30.08283115 30.0782 30.08513116 30.0598 30.0693117 30.0736 30.06673118 30.0782 30.07593119 30.0598 30.0693120 30.0598 30.05983121 30.0644 30.06213122 30.069 30.06673123 30.069 30.0693124 30.0506 30.0598

Page 59: Area Bajo La Curva

3125 30.069 30.05983126 30.0598 30.06443127 30.0552 30.05753128 30.0552 30.05523129 30.0598 30.05753130 30.0598 30.05983131 30.0506 30.05523132 30.0552 30.05293133 30.0506 30.05293134 30.046 30.04833135 30.0506 30.04833136 30.0552 30.05293137 30.0506 30.05293138 30.046 30.04833139 30.046 30.0463140 30.046 30.0463141 30.046 30.0463142 30.046 30.0463143 30.0506 30.04833144 30.046 30.04833145 30.046 30.0463146 30.0414 30.04373147 30.0414 30.04143148 30.0506 30.0463149 30.0414 30.0463150 30.0506 30.0463151 30.0414 30.0463152 30.0414 30.04143153 30.046 30.04373154 30.046 30.0463155 30.0414 30.04373156 30.0414 30.04143157 30.0414 30.04143158 30.0414 30.04143159 30.046 30.04373160 30.0368 30.04143161 30.0368 30.03683162 30.0322 30.03453163 30.0368 30.03453164 30.0368 30.03683165 30.0276 30.03223166 30.0368 30.03223167 30.0276 30.03223168 30.0368 30.03223169 30.023 30.02993170 30.023 30.0233171 30.0322 30.02763172 30.0368 30.03453173 30.023 30.02993174 30.0184 30.02073175 30.0184 30.01843176 30.0276 30.0233177 30.023 30.02533178 30.0046 30.0138

Page 60: Area Bajo La Curva

3179 30.023 30.01383180 30.0092 30.01613181 30.0184 30.01383182 30.0092 30.01383183 30.0092 30.00923184 30 30.00463185 30.0092 30.00463186 30.0184 30.01383187 30.0045 30.011453188 30.0092 30.006853189 30.0138 30.01153190 30 30.00693191 29.9999 29.999953192 30.0046 30.002253193 30 30.00233194 29.9999 29.999953195 30 29.999953196 29.9953 29.997653197 29.9999 29.99763198 30 29.999953199 29.9953 29.997653200 29.9905 29.99293201 29.9906 29.990553202 29.9953 29.992953203 29.9953 29.99533204 29.9906 29.992953205 29.9953 29.992953206 29.9953 29.99533207 29.9859 29.99063208 29.9906 29.988253209 29.9859 29.988253210 29.9905 29.98823211 29.9765 29.98353212 29.9671 29.97183213 29.9859 29.97653214 29.9812 29.983553215 29.9765 29.978853216 29.9812 29.978853217 29.9765 29.978853218 29.9718 29.974153219 29.9859 29.978853220 29.9718 29.978853221 29.9765 29.974153222 29.9624 29.969453223 29.9624 29.96243224 29.9671 29.964753225 29.9624 29.964753226 29.9671 29.964753227 29.9577 29.96243228 29.9671 29.96243229 29.953 29.960053230 29.953 29.9533231 29.9624 29.95773232 29.9577 29.96005

Page 61: Area Bajo La Curva

3233 29.953 29.955353234 29.9577 29.955353235 29.9624 29.960053236 29.953 29.95773237 29.9577 29.955353238 29.953 29.955353239 29.953 29.9533240 29.9577 29.955353241 29.953 29.955353242 29.953 29.9533243 29.953 29.9533244 29.953 29.9533245 29.953 29.953

Page 62: Area Bajo La Curva

Agregar otra columna como la que se llama "area paralelogramo". Observar cómo la fórmula que contiene se refiere a la X e Y adyacentes y a la X e Y anteriores

Crear, en otra celda, como la que aquí se llama "total", la suma de todas las areas de los paralelogramos, usando la función SUMA(), como está en el ejemplo.

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Fede:Esta celda tiene la suma de toda la columna D, o sea de las areas de todos los paralelogramos, y es el área bajo la curva.

Page 63: Area Bajo La Curva

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