|\^/| Maple V Release 5.1 (University of Utah) ._|\| |/|_. Copyright (c) 1981-1998 by Waterloo Maple Inc. All rights \ MAPLE / reserved. Maple and Maple V are registered trademarks of <____ ____> Waterloo Maple Inc. | Type ? for help. ## /u/sy/beebe/jim-ball/toms/quadpack/main2.maple, Wed Jan 26 08:01:37 2000 ## Edit by Nelson H. F. Beebe > ## Suppress "bytes used ..." and other status messages > interface(quiet = true); ### Numerical integration with Maple V5.1 ### ### int(sin(x) * x^alpha * exp(-x) * ln(x), x = 0..infinity)) ### Digits := 50: ### for alpha from 0 by 0.5 to 100 ### do ### printf("%d\t%.1f\t%d\t%60.50e\n", ### 1, ### alpha, ### 0, ### evalf(int(sin(x) * x^alpha * exp(-x) * ln(x), x = 0..infinity))); ### od; 1 0.0 0 -6.91955458920286e-02 1 .5 0 7.41895901555803e-03 1 1.0 0 3.81053724092472e-02 1 1.5 0 1.61420869583317e-02 1 2.0 0 -1.04593709289476e-01 1 2.5 0 -4.30865150235775e-01 1 3.0 0 -1.17809724509617e+00 1 3.5 0 -2.74966469716760e+00 1 4.0 0 -5.83482672464782e+00 1 4.5 0 -1.14286156023116e+01 1 5.0 0 -2.03931611722774e+01 1 5.5 0 -3.13399865189794e+01 1 6.0 0 -3.33365661639470e+01 1 6.5 0 1.57509345619882e+01 1 7.0 0 2.47400421470196e+02 1 7.5 0 1.02451741212290e+03 1 8.0 0 3.25012722435208e+03 1 8.5 0 8.91439589058928e+03 1 9.0 0 2.16047298462417e+04 1 9.5 0 4.48772628822839e+04 1 10.0 0 6.91615733665733e+04 1 10.5 0 1.31614497377234e+04 1 11.0 0 -4.89852834510988e+05 1 11.5 0 -2.77614145476565e+06 1 12.0 0 -1.10949478563257e+07 1 12.5 0 -3.73511768108064e+07 1 13.0 0 -1.09768001040377e+08 1 13.5 0 -2.75741565368601e+08 1 14.0 0 -5.25240659639639e+08 1 14.5 0 -2.77110062420820e+08 1 15.0 0 4.01189471464499e+09 1 15.5 0 2.81983695600612e+10 1 16.0 0 1.32497567691076e+11 1 16.5 0 5.16756332476721e+11 1 17.0 0 1.74770579355658e+12 1 17.5 0 5.04495067014915e+12 1 18.0 0 1.11661440152837e+13 1 18.5 0 8.64788274717024e+12 1 19.0 0 -9.33006234837840e+13 1 19.5 0 -7.72232589168236e+14 1 20.0 0 -4.10950003498359e+15 1 20.5 0 -1.79755844538585e+16 1 21.0 0 -6.78943102367409e+16 1 21.5 0 -2.18672091001347e+17 1 22.0 0 -5.43786346910249e+17 1 22.5 0 -5.31864414339819e+17 1 23.0 0 4.95706212569344e+18 1 23.5 0 4.67958956716544e+19 1 24.0 0 2.75503257408103e+20 1 24.5 0 1.32380435113257e+21 1 25.0 0 5.47620112778425e+21 1 25.5 0 1.93056731399803e+22 1 26.0 0 5.28048014996121e+22 1 26.5 0 6.10209688186795e+22 1 27.0 0 -5.21978641835519e+23 1 27.5 0 -5.50003639143347e+24 1 28.0 0 -3.52525282652121e+25 1 28.5 0 -1.83412549100738e+26 1 29.0 0 -8.19704444982020e+26 1 29.5 0 -3.12073374946811e+27 1 30.0 0 -9.25163132715530e+27 1 30.5 0 -1.21686404171193e+28 1 31.0 0 9.85443477921277e+28 1 31.5 0 1.14104141380513e+30 1 32.0 0 7.86972254685424e+30 1 32.5 0 4.38670362831546e+31 1 33.0 0 2.09676957380251e+32 1 33.5 0 8.53505966205661e+32 1 34.0 0 2.71309843765917e+33 1 34.5 0 3.96612961712813e+33 1 35.0 0 -3.09586923023748e+34 1 35.5 0 -3.89311864881064e+35 1 36.0 0 -2.86374588177905e+36 1 36.5 0 -1.69640523267206e+37 1 37.0 0 -8.60496295157115e+37 1 37.5 0 -3.71636207366836e+38 1 38.0 0 -1.25631780622472e+39 1 38.5 0 -2.00780045187004e+39 1 39.0 0 1.52783004033758e+40 1 39.5 0 2.06748827524718e+41 1 40.0 0 1.61076223785882e+42 1 40.5 0 1.00753065255605e+43 1 41.0 0 5.39021041464422e+43 1 41.5 0 2.45489205926824e+44 1 42.0 0 8.76827557991623e+44 1 42.5 0 1.51359841561331e+45 1 43.0 0 -1.13129703166836e+46 1 43.5 0 -1.63528963315038e+47 1 44.0 0 -1.34182117475088e+48 1 44.5 0 -8.81652928304653e+48 1 45.0 0 -4.94990029161365e+49 1 45.5 0 -2.36548850141861e+50 1 46.0 0 -8.88010772942185e+50 1 46.5 0 -1.64053242579010e+51 1 47.0 0 1.21070277032116e+52 1 47.5 0 1.85814676112634e+53 1 48.0 0 1.59839261899346e+54 1 48.5 0 1.09849655379763e+55 1 49.0 0 6.44533372662851e+55 1 49.5 0 3.21866926979323e+56 1 50.0 0 1.26445092328997e+57 1 50.5 0 2.48188014579934e+57 1 51.0 0 -1.81532773381955e+58 1 51.5 0 -2.94327769252826e+59 1 52.0 0 -2.64397241909489e+60 1 52.5 0 -1.89373099307065e+61 1 53.0 0 -1.15716272274907e+62 1 53.5 0 -6.01759087757826e+62 1 54.0 0 -2.46485369600276e+63 1 54.5 0 -5.11009893684218e+63 1 55.0 0 3.71475960154697e+64 1 55.5 0 6.33556711657763e+65 1 56.0 0 5.92386783684239e+66 1 56.5 0 4.40837600649441e+67 1 57.0 0 2.79697241530011e+68 1 57.5 0 1.51016596164142e+69 1 58.0 0 6.42962430540484e+69 1 58.5 0 1.40112532730468e+70 1 59.0 0 -1.01441020704820e+71 1 59.5 0 -1.81324365959010e+72 1 60.0 0 -1.75971495472908e+73 1 60.5 0 -1.35699190097947e+74 1 61.0 0 -8.91663816065513e+74 1 61.5 0 -4.98577050622892e+75 1 62.0 0 -2.20050094213494e+76 1 62.5 0 -5.01994933201790e+76 1 63.0 0 3.62549193588820e+77 1 63.5 0 6.77046222469127e+78 1 64.0 0 6.80305229403791e+79 1 64.5 0 5.42373672865840e+80 1 65.0 0 3.68265325150595e+81 1 65.5 0 2.12772209860943e+82 1 66.0 0 9.71222571007564e+82 1 66.5 0 2.31142465284221e+83 1 67.0 0 -1.66732023541175e+84 1 67.5 0 -3.24393869006512e+85 1 68.0 0 -3.36761018263802e+86 1 68.5 0 -2.77010449656429e+87 1 69.0 0 -1.93971555218801e+88 1 69.5 0 -1.15573905219609e+89 1 70.0 0 -5.44486938157551e+89 1 70.5 0 -1.34783696863714e+90 1 71.0 0 9.72016018160579e+90 1 71.5 0 1.96546272893996e+92 1 72.0 0 2.10402339491044e+93 1 72.5 0 1.78248063320388e+94 1 73.0 0 1.28494666194880e+95 1 73.5 0 7.88162844178790e+95 1 74.0 0 3.82541533910619e+96 1 74.5 0 9.82407053472097e+96 1 75.0 0 -7.08862121563966e+97 1 75.5 0 -1.48643181031121e+99 1 76.0 0 -1.638064266968942+100 1 76.5 0 -1.426953589581761+101 1 77.0 0 -1.057326123679241+102 1 77.5 0 -6.666096549009698+102 1 78.0 0 -3.327865286246211+103 1 78.5 0 -8.846128684472600+103 1 79.0 0 6.390396279071882+104 1 79.5 0 1.386937089632917+106 1 80.0 0 1.571025134897260+107 1 80.5 0 1.405215191467928+108 1 81.0 0 1.068736121924469+109 1 81.5 0 6.916022816156976+109 1 82.0 0 3.546098996681865+110 1 82.5 0 9.737300814750205+110 1 83.0 0 -7.045872006208844+111 1 83.5 0 -1.579968087319101+113 1 84.0 0 -1.837048484298152+114 1 84.5 0 -1.684993377631350+115 1 85.0 0 -1.313721435835262+116 1 85.5 0 -8.714909700260213+116 1 86.0 0 -4.583403745333331+117 1 86.5 0 -1.297767832840977+118 1 87.0 0 9.410022761556140+118 1 87.5 0 2.176709552067914+120 1 88.0 0 2.594659027373944+121 1 88.5 0 2.437615952386242+122 1 89.0 0 1.946021776782895+123 1 89.5 0 1.321849751550468+124 1 90.0 0 7.122322999725281+124 1 90.5 0 2.076123977405669+125 1 91.0 0 -1.508993132047695+126 1 91.5 0 -3.595570885118758+127 1 92.0 0 -4.388996752922047+128 1 92.5 0 -4.218836016844067+129 1 93.0 0 -3.445057743078402+130 1 93.5 0 -2.393595938609078+131 1 94.0 0 -1.319879607667716+132 1 94.5 0 -3.955114039803788+132 1 95.0 0 2.882368524338867+133 1 95.5 0 7.065291892302264+134 1 96.0 0 8.822617405237912+135 1 96.5 0 8.668458284804415+136 1 97.0 0 7.233523836969501+137 1 97.5 0 5.135796201691759+138 1 98.0 0 2.895375228826427+139 1 98.5 0 8.907423300798353+139 1 99.0 0 -6.510191337705989+140 1 99.5 0 -1.639651095382149+142 1 100.0 0 -2.092560768897947+143