2.53 3_Logarithms\3.3Logarithmfunctions

Table 55: Breakdown of results for each integral


















































2017.3
2016.2
2015.2
18.02
17.02
16.02
14.0
12.0

























# grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size grade cpu siz

























1 C 0.09 200 C 0.09 200 C 0.08 200 C 0.08 200 C 0.09 200 C 0.09 200 C 0.07 200 C 0.11 200

























2 A 0.02 21 A 0.02 21 A 0.02 21 A 0.02 21 A 0.02 21 A 0.02 21 A 0.01 21 A 0.08 21

























3 C 0.06 517 C 0.09 517 C 0.07 517 C 0.06 517 C 0.07 517 C 0.08 517 C 0.04 517 C 0.06 517

























4 C 0.12 1725 C 0.14 1725 C 0.12 1725 C 0.1 1725 C 0.12 1725 C 0.12 1725 C 0.1 1725 C 0.16 1725

























5 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























6 A 0.01 19 A 0.01 19 A 0. 19 A 0.01 19 A 0. 19 A 0. 19 A 0. 19 A 0.02 19

























7 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























8 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























9 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























10 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























11 A 0.01 52 A 0.01 52 A 0. 52 A 0. 52 A 0. 52 A 0. 52 A 0. 52 A 0. 52

























12 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























13 A 0.01 26 A 0.01 26 A 0. 26 A 0. 26 A 0. 26 A 0. 26 A 0. 26 A 0. 26

























14 A 0. 24 A 0.01 24 A 0. 24 A 0. 24 A 0. 24 A 0. 24 A 0. 24 A 0. 24

























15 A 0.01 26 A 0.01 26 A 0. 26 A 0. 26 A 0. 26 A 0. 26 A 0. 26 A 0. 26

























16 A 0. 9 A 0.01 9 A 0. 9 A 0. 9 A 0. 9 A 0. 9 A 0. 9 A 0. 9

























17 A 0. 36 A 0.01 36 A 0. 36 A 0. 36 A 0. 36 A 0. 36 A 0. 36 A 0. 36

























18 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























19 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























20 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























21 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























22 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























23 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























24 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























25 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























26 A 0. 15 A 0.01 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15

























27 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























28 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























29 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























30 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























31 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























32 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























33 A 0. 54 A 0. 54 A 0. 54 A 0. 54 A 0. 54 A 0. 54 A 0. 54 A 0.02 54

























34 C 0.08 137 C 0.07 137 C 0.06 133 C 0.06 133 C 0.07 133 C 0.08 133 C 0.05 133 C 0.06 133

























35 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























36 C 0.01 20 C 0.01 20 C 0.01 20 C 0. 20 C 0. 20 C 0. 20 C 0. 20 C 0. 20

























37 C 0.01 24 C 0.01 24 C 0.01 24 C 0.01 24 C 0.01 24 C 0. 24 C 0. 24 C 0.02 24

























38 C 0.1 332 C 0.09 332 C 0.09 332 C 0.07 332 F 0 0 F 0 0 F 0 0 F 0 0

























39 C 0.09 555 C 0.1 555 C 0.09 555 C 0.08 555 F 0 0 F 0 0 F 0 0 F 0 0

























40 A 0. 19 A 0.01 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19

























41 C 0.18 241 C 0.15 241 C 0.13 241 C 0.12 241 F 0 0 F 0 0 F 0 0 F 0 0

























42 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























43 C 0.14 232 C 0.12 232 C 0.09 232 C 0.08 256 F 0 0 F 0 0 F 0 0 F 0 0

























44 C 0.08 173 C 0.09 173 C 0.08 183 C 0.07 183 C 0.09 183 C 0.1 183 C 0.06 183 C 0.08 183

























45 C 0.09 198 C 0.09 198 C 0.09 207 C 0.07 207 C 0.09 207 C 0.1 207 C 0.06 207 C 0.09 207

























46 C 0.11 183 C 0.12 183 C 0.09 183 C 0.08 183 C 0.09 183 C 0.1 183 C 0.06 183 C 0.08 183

























47 C 0.06 196 C 0.08 196 C 0.07 208 C 0.05 208 C 0.06 208 C 0.07 208 C 0.04 208 C 0.08 208

























48 C 0.06 194 C 0.08 194 C 0.06 202 C 0.05 202 C 0.06 202 C 0.07 202 C 0.04 202 C 0.06 202

























49 A 0.01 50 A 0.01 50 A 0. 50 A 0. 50 A 0. 50 A 0. 50 A 0. 50 A 0. 50

























50 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























51 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























52 A 0.01 30 A 0.01 30 A 0.01 30 A 0. 30 A 0. 30 A 0.01 30 A 0. 30 A 0. 30

























53 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























54 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























55 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























56 A 0.04 83 A 0.04 83 A 0.03 83 A 0.03 83 A 0.03 83 A 0.03 83 A 0.02 83 A 0.12 83

























57 C 0.17 242 C 0.14 242 C 0.12 242 C 0.1 260 F 0 0 F 0 0 F 0 0 F 0 0

























58 C 0.16 582 C 0.16 582 C 0.15 762 C 0.13 762 C 0.16 762 C 0.18 762 C 0.12 762 C 0.2 762

























59 A 0.01 38 A 0.01 38 A 0.01 38 A 0. 38 A 0. 38 A 0.01 38 A 0. 38 A 0.02 38

























60 C 0.05 114 C 0.04 114 C 0.02 114 C 0.02 114 C 0.03 114 C 0.03 114 C 0.02 114 C 0.03 114

























61 C 0.02 65 C 0.02 65 C 0.02 65 C 0.01 65 C 0.01 65 C 0.01 65 C 0.01 65 C 0.02 65

























62 C 0.09 919 C 0.11 919 C 0.1 919 C 0.08 993 F 0 0 F 0 0 F 0 0 F 0 0

























63 C 0.1 850 C 0.1 850 C 0.09 850 C 0.1 936 F 0 0 F 0 0 F 0 0 F 0 0

























64 C 0.1 624 C 0.11 624 C 0.1 624 C 0.08 683 F 0 0 F 0 0 F 0 0 F 0 0

























65 C 0.1 831 C 0.1 831 C 0.09 831 C 0.07 921 F 0 0 F 0 0 F 0 0 F 0 0

























66 C 0.09 461 C 0.09 461 C 0.08 474 C 0.07 533 F 0 0 F 0 0 F 0 0 F 0 0

























67 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























68 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























69 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























70 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























71 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























72 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























73 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























74 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























75 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























76 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























77 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























78 C 0.11 278 C 0.11 278 C 0.06 286 C 0.06 286 C 0.04 286 C 0.08 286 C 0.04 286 C 0.05 286

























79 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























80 C 1.08 5905 C 1.72 5905 C 1.23 5905 C 1.19 5905 C 1.53 5905 C 1.98 5905 C 1.25 5905 C 3.92 5905

























81 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























82 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























83 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























84 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























85 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























86 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























87 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























88 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























89 C 0.01 41 C 0.01 41 C 0.01 41 C 0.01 41 C 0.01 41 C 0.01 41 C 0. 41 C 0. 41

























90 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























91 C 0.22 1621 C 0.23 1621 C 0.19 1673 C 0.19 1673 C 0.38 1673 C 0.24 1673 C 0.16 1673 C 0.22 1673

























92 C 0.13 870 C 0.17 870 C 0.13 903 C 0.13 903 C 0.14 903 C 0.17 903 C 0.1 903 C 0.16 903

























93 C 0.08 315 C 0.08 315 C 0.09 315 C 0.06 345 F 0 0 F 0 0 F 0 0 F 0 0

























94 C 0.1 612 C 0.09 261 C 0.11 673 C 0.1 673 C 0.1 673 C 0.08 291 C 0.08 673 C 0.12 673

























95 C 0.18 2246 C 0.17 2246 C 0.16 2406 C 0.14 2406 C 0.17 2406 C 0.11 526 C 0.08 526 C 0.19 2406

























96 C 0.81 55216 C 0.36 14679 C 0.38 20199 C 0.34 20199 C 0.38 20199 C 0.53 20199 C 0.38 20199 C 0.8 20199

























97 C 0.26 764 C 0.26 764 C 0.17 764 C 0.15 764 F 0 0 F 0 0 F 0 0 F 0 0

























98 A 0.03 80 A 0.04 80 A 0.03 80 A 0.02 80 A 0.02 80 A 0.03 80 A 0.02 80 A 0.03 80

























99 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























100 C 0.02 76 C 0.03 76 C 0.02 76 C 0.02 76 C 0.02 76 C 0.02 76 C 0.01 76 C 0.02 76

























101 C 0.01 34 C 0.01 34 C 0.01 34 C 0.01 34 C 0. 34 C 0. 34 C 0. 34 C 0. 34

























102 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























103 A 0.01 84 A 0.01 84 A 0.01 84 A 0.01 84 A 0.02 84 A 0.01 84 A 0. 84 A 0.02 84

























104 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























105 C 0.04 88 C 0.04 88 C 0.03 92 C 0.03 92 C 0.02 92 C 0.02 92 C 0.01 92 C 0. 92

























106 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























107 C 0.05 82 C 0.06 82 C 0.04 82 C 0.03 82 C 0.02 82 C 0.03 82 C 0.01 82 C 0. 82

























108 C 0.06 118 C 0.06 118 C 0.04 122 C 0.03 122 C 0.02 122 C 0.03 122 C 0.01 122 C 0.02 122

























109 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























110 A 0.02 7 A 0.02 7 A 0.01 7 A 0.01 7 C 0.4 211 C 0.44 211 C 0.3 220 C 1.2 207

























111 A 0.01 8 A 0.02 8 A 0.01 8 A 0. 8 C 0.03 225 C 0.06 225 C 0.04 225 C 0.03 225

























112 C 0.02 134 C 0.03 134 C 0.02 220 C 0.06 220 C 0.01 220 C 0.05 220 C 0.02 220 C 0.02 220

























113 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























114 A 0.08 76 A 0.06 76 A 0.04 76 A 0.03 76 A 0.03 76 A 0.03 76 A 0.02 76 A 0.03 76

























115 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























116 C 0.03 47 C 0.04 47 C 0.02 47 C 0.02 47 C 0.03 47 C 0.02 47 C 0.01 47 C 0.02 47

























117 C 0.18 314 C 0.16 314 C 0.12 314 C 0.11 314 C 0.11 314 C 0.15 314 C 0.09 430 C 0.11 430

























118 A 0.02 14 A 0.03 14 A 0.01 14 A 0.01 14 A 0. 14 A 0.01 14 A 0.01 14 A 0.02 14

























119 A 0. 23 A 0.01 23 A 0. 23 A 0. 23 A 0. 23 A 0. 23 A 0. 23 A 0. 23

























120 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14

























121 A 0.06 75 A 0.08 75 A 0.05 75 A 0.04 75 A 0.03 75 A 0.04 75 A 0.04 75 A 0.06 75

























122 A 0. 19 A 0.01 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19

























123 A 0.01 168 A 0.01 168 A 0. 168 A 0.01 168 A 0. 168 A 0. 168 A 0.01 168 A 0.02 168

























124 A 0.01 12 A 0.02 12 A 0. 12 A 0.01 12 A 0. 12 A 0. 12 A 0. 12 A 0. 12

























125 A 0.01 38 A 0.01 38 A 0. 38 A 0.01 38 A 0. 38 A 0. 38 A 0. 38 A 0.02 38

























126 A 0. 10 A 0.01 10 A 0. 10 A 0. 10 A 0. 10 A 0. 10 A 0. 10 A 0. 10

























127 A 0.01 14 A 0.01 14 A 0. 14 A 0.01 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14

























128 A 0.01 22 A 0.02 22 A 0.01 22 A 0.01 22 A 0. 22 A 0. 22 A 0. 22 A 0. 22

























129 A 0. 30 A 0.01 30 A 0. 30 A 0. 30 A 0.02 30 A 0. 30 A 0. 30 A 0. 30

























130 A 0.03 57 A 0.03 57 A 0.02 57 A 0.02 57 A 0.02 57 A 0.02 57 A 0.01 57 A 0.02 57

























131 A 0.04 28 A 0.04 28 A 0.01 28 A 0.01 28 A 0.02 28 A 0.01 28 A 0.01 28 A 0.02 28

























132 C 0. 46 C 0.01 46 C 0. 46 C 0.01 46 C 0. 46 C 0. 46 C 0.01 46 C 0. 46

























133 C 0.09 292 C 0.19 292 C 0.08 292 C 0.07 292 F 0 0 F 0 0 F 0 0 F 0 0

























134 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























135 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15

























136 A 0.02 26 A 0.02 26 A 0.02 26 A 0.02 26 A 0.02 26 A 0. 26 A 0.01 26 A 0.02 26

























137 A 0.01 22 A 0.02 22 A 0. 22 A 0.01 22 A 0. 22 A 0. 22 A 0.01 22 A 0. 22

























138 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0

























139 C 0.13 468 C 0.13 468 C 0.07 469 C 0.07 469 C 0.07 469 C 0.11 469 C 0.05 469 C 0.09 469