2.45 1_Algebraic_functions\1.3Miscellaneous\1.3.4Substitutionproblems

Table 47: Breakdown of results for each integral
14
13.3
12.3.1
12.1
12
11.3
11.2
10.3
9
8
7
6.0.1
5.2
# grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size grade cpu size
1 A 0.2 21 A 0.3 21 A 0.1 21 A 0.1 21 A 0.1 21 A 0.1 21 A 0.1 21 A 0.1 21 A 0. 21 A 0. 21 A 0. 21 A 0.1 21 A 0. 21
2 A 0.1 24 A 0.1 24 A 0. 24 A 0. 24 A 0. 24 A 0.1 24 A 0.1 24 A 0. 24 A 0. 24 A 0. 24 A 0. 24 A 0. 24 A 0. 24
3 C 0.1 106 C 0.1 106 C 0.1 106 C 0.1 106 C 0.1 106 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19
4 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19
5 A 0. 21 A 0.1 21 A 0. 21 A 0. 21 A 0. 21 A 0. 21 A 0. 21 A 0. 21 A 0. 21 A 0. 21 A 0. 21 A 0. 21 A 0. 21
6 B 0. 98 B 0. 98 B 0. 98 B 0. 98 B 0. 98 B 0. 98 B 0. 98 B 0. 98 B 0. 98 B 0. 98 B 0. 98 B 0. 98 B 0. 98
7 B 0. 80 B 0. 80 B 0. 80 B 0. 80 B 0. 80 B 0. 80 B 0. 80 B 0. 80 B 0. 80 B 0. 80 B 0. 80 B 0. 80 B 0. 80
8 A 0.1 34 A 0.1 34 A 0.1 34 A 0.1 34 A 0.1 34 A 0. 34 A 0. 34 A 0. 34 A 0. 34 A 0. 34 A 0. 34 A 0. 34 A 0. 34
9 B 0. 140 B 0. 140 B 0. 140 B 0. 140 B 0.1 140 B 0.1 140 B 0.1 140 B 0.1 140 B 0.1 140 B 0.1 140 B 0. 140 B 0. 300 B 0. 300
10 B 0. 244 B 0.1 244 B 0.1 244 B 0.1 244 B 0.1 244 B 0.1 244 B 0.1 244 B 0.1 244 B 0.1 244 B 0.1 244 B 0.1 244 B 0.1 301 B 0. 301
11 B 0.1 248 B 0.1 248 B 0.1 248 B 0.1 248 B 0.2 248 B 0.2 248 B 0.2 248 B 0.2 248 B 0.2 248 B 0.2 248 B 0.1 248 B 0. 791 B 0. 791
12 A 0. 21 A 0. 21 A 0.1 21 A 0.1 21 A 0.2 21 A 0.1 21 A 0.1 21 A 0.1 21 A 0. 21 A 0. 21 A 0. 21 A 0. 21 A 0. 21
13 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14 A 0. 14
14 C 0.1 99 C 0.1 99 C 0.1 99 C 0.1 99 C 0.1 99 A 0.1 29 A 0.1 29 A 0.1 29 A 0. 29 A 0. 29 A 0. 29 A 0. 29 A 0. 29
15 B 0. 96 B 0. 96 B 0. 96 B 0. 96 B 0. 96 B 0. 96 B 0. 96 B 0. 96 B 0. 96 B 0. 96 B 0. 96 B 0. 96 B 0. 96
16 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15
17 A 10. 15 A 10. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15 A 0. 15
18 A 0. 116 A 0. 116 A 0. 116 A 0. 116 A 0. 116 A 0.1 116 A 0.1 116 A 0.1 116 A 0.1 116 A 0. 116 A 0. 116 A 0. 116 A 0. 116
19 C 0.1 173 C 0.1 173 C 0.1 173 C 0.1 173 C 0.1 173 C 0.1 173 C 0.2 173 C 0.1 173 C 0.1 173 C 0.1 173 C 0.1 173 C 0.1 173 C 0.7 173
20 C 0.1 244 C 0.1 244 C 0.2 244 C 0.1 244 C 0.2 244 C 0.2 244 C 0.2 244 C 0.2 246 C 0.2 246 C 0.2 246 C 0.1 246 C 0.2 246 C 9.3 246
21 C 0. 163 C 0. 163 C 0.1 163 C 0.1 163 C 0.1 163 C 0.1 163 C 0.1 163 C 0.1 163 A 0.4 361 A 0.3 361 A 0.2 446 A 0.2 446 A 0.2 446
22 A 0. 55 A 0. 55 A 0. 43 A 0. 43 A 0. 43 A 0.1 55 A 0.1 55 A 0.1 55 A 0.1 55 A 0. 55 A 0. 55 A 0. 55 A 0. 55
23 A 0.4 198 A 0.4 198 A 0.5 228 A 0.4 228 A 0.6 228 A 0.7 228 A 0.8 228 A 0.7 228 A 0.6 228 A 0.5 228 A 0.4 229 A 0.4 228 A 0.4 228
24 A 0.2 107 A 0.2 107 A 0.3 164 A 0.3 164 A 0.4 164 A 0.3 106 A 0.3 106 A 0.3 106 A 0.4 174 A 0.3 174 A 0.3 175 A 0.3 174 A 0.3 174
25 A 0.3 177 A 0.3 177 A 0.8 230 A 0.8 230 A 1.3 230 A 1.5 292 A 1.5 292 A 0.9 292 A 0.8 292 A 0.6 292 A 0.6 293 A 0.6 292 A 0.6 243
26 A 0.2 105 A 0.2 105 A 0.1 97 A 0.1 97 A 0.2 97 A 0.1 97 A 0.1 97 A 0.1 97 B 0.4 197 B 0.4 197 B 0.3 197 B 0.3 197 F 0 0
27 A 0.1 66 A 0.1 66 A 0.1 66 A 0.1 66 A 0.1 66 A 0.1 66 A 0.1 66 A 0.1 66 A 0.1 66 A 0.1 66 A 0. 66 A 0.1 66 A 0. 66
28 A 0.2 70 A 0.2 70 C 0. 46 C 0. 46 C 0.1 46 A 0.2 70 A 0.2 70 A 0.1 94 A 0.1 94 A 0.1 94 A 0.1 94 A 0.1 94 A 0.1 94
29 A 0.2 37 A 0.2 37 A 0.1 37 A 0.1 37 A 0.1 37 A 0.1 37 A 0.1 37 A 0.1 37 A 0.1 37 A 0.1 37 A 0.1 37 A 0.1 37 A 0. 37
30 A 0.1 65 A 0.1 65 C 0. 35 C 0. 35 C 0. 35 A 0. 60 A 0. 60 A 0. 60 A 0. 60 A 0. 60 A 0. 62 A 0. 60 A 0. 60
31 B 0. 20 B 0. 20 B 0. 20 B 0. 20 B 0. 20 B 0. 20 B 0. 20 B 0. 20 B 0. 20 B 0. 20 B 0. 20 B 0. 20 A 0. 9
32 A 0. 20 A 0. 20 A 0. 18 A 0. 18 A 0.1 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18
33 A 0.1 40 A 0.1 40 A 0. 30 A 0. 30 A 0. 30 A 0. 30 A 0. 30 A 0. 30 A 0. 30 A 0. 30 A 0. 30 A 0. 30 A 0. 30
34 A 0.1 95 A 0.1 95 A 0. 86 A 0. 86 A 0.1 86 A 0. 79 A 0. 79 A 0. 79 A 0. 79 A 0. 79 A 0. 79 A 0. 79 A 0. 79
35 A 0. 57 A 0. 57 A 0. 57 A 0. 57 A 0.1 57 A 0. 52 A 0. 52 A 0. 52 A 0. 52 A 0. 52 A 0. 57 A 0. 57 A 0. 57
36 A 0.1 62 A 0.1 62 A 0.2 63 A 0.2 63 A 0.2 63 A 0.2 63 A 0.2 63 A 0.2 93 A 0.2 93 A 0.1 93 A 0.1 93 A 0.1 93 A 0.1 93
37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37
38 A 0.1 31 A 0.1 31 A 0. 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18 A 0. 18
39 A 0.1 130 A 0.1 130 A 0.1 127 A 0.1 127 A 0.1 127 A 0.2 156 A 0.2 156 A 0.2 156 A 0.2 156 A 0.1 156 A 0.1 156 A 0.1 156 A 0.1 156
40 A 0.1 59 A 0.1 59 A 0. 44 A 0. 44 A 0. 44 A 0. 44 A 0. 44 A 0. 44 A 0. 44 A 0. 44 A 0. 44 A 0. 44 A 0. 44
41 A 0.1 76 A 0.1 76 A 0.1 68 A 0.1 68 A 6.6 68 A 0.1 70 A 0.1 70 A 0.1 73 A 0.1 73 A 0.1 73 A 0.1 73 A 0.1 73 A 0.1 73
42 B 0. 51 B 0. 51 A 0. 42 A 0. 42 A 0. 42 A 0. 42 A 0. 42 A 0. 42 A 0. 42 A 0. 42 A 0. 42 A 0. 42 A 0. 42
43 A 0.1 78 A 0.1 78 A 0.1 76 A 0.1 76 A 0.1 76 A 0.1 74 A 0.1 74 A 0.1 74 A 0.1 74 A 0.1 74 A 0. 74 A 0. 74 A 0. 74
44 B 0. 51 B 0. 51 A 0. 34 A 0. 34 A 0. 34 B 0. 47 B 0. 47 B 0. 47 B 0. 47 B 0. 47 B 0. 47 B 0. 45 B 0. 45
45 B 0.1 63 B 0.1 63 B 0.2 93 B 0.2 93 B 0.2 93 C 0.1 80 C 0.1 80 C 0.1 80 C 0.1 80 C 0.1 80 C 0.1 80 B 0.1 75 C 0.1 80
46 A 0. 64 A 0. 64 A 0. 67 A 0. 67 A 0. 67 A 0. 62 A 0. 62 A 0. 62 A 0. 62 A 0. 62 A 0. 62 A 0.1 62 A 0. 62
47 A 0.1 67 A 0.1 67 A 0.1 78 A 0.1 78 A 0.1 78 A 0.1 69 A 0.1 69 A 0.1 69 A 0. 69 A 0. 69 A 0. 71 A 0. 69 A 0. 69
48 A 0.2 88 A 0.2 88 A 0. 79 A 0. 79 A 0. 79 A 0.1 82 A 0.1 82 A 0.1 82 A 0.1 82 A 0.1 82 B 0. 94 B 0.1 94 B 0. 94
49 A 0. 19 A 0. 19 A 0. 11 A 0. 11 A 0. 11 A 0. 17 A 0. 17 A 0. 17 A 0. 17 A 0. 17 A 0. 17 A 0. 17 A 0. 17
50 A 1.7 41 A 1.7 41 A 0.2 41 A 0.2 41 A 0.3 41 A 0. 41 A 0. 41 A 0. 41 A 0. 41 A 0. 41 A 0. 41 A 0. 41 A 0. 47
51 A 0.4 77 A 0.4 77 A 0.1 77 A 0.1 77 A 0.1 77 A 0.1 77 A 0.1 77 A 0.1 77 A 0.1 77 A 0.1 77 A 0. 77 A 0. 77 A 0. 77
52 A 0.5 94 A 0.5 94 A 0.2 94 A 0.2 94 A 0.2 94 A 0.3 94 A 0.3 94 A 0.3 94 A 0.3 94 A 0.2 94 A 0.2 94 A 0.2 94 F 0 0
53 A 0.1 112 A 0.1 112 A 0.2 126 A 0.1 126 A 0.2 126 A 0.2 126 A 0.2 126 A 0.2 144 A 0.2 144 A 0.1 144 A 0.1 144 A 0.1 144 F 0 0
54 A 1.7 409 A 1.8 409 F 0 0 F 0 0 F 0 0 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 A 0. 29 A 0.1 29 A 0. 26 A 0. 26 A 0. 26 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 0.3 69 A 0.3 69 A 0. 79 A 0. 79 A 0. 79 A 0.1 91 A 0.1 91 A 0.1 91 A 0.1 91 A 0.1 91 A 0.1 99 A 0.1 87 A 0.1 87
57 C 22.7 261 C 22.7 261 C 1.1 261 C 1. 261 C 1.1 261 C 1.4 261 C 1.5 261 C 1.4 261 C 1.4 261 C 1.1 261 C 0.5 238 C 0.5 238 C 0.5 238
58 C 19.7 298 C 19.9 298 C 1.1 298 C 1. 298 C 1.2 298 C 1.3 298 C 1.3 298 C 1.2 284 C 1.3 284 C 0.9 284 C 0.8 273 C 0.8 273 C 0.7 273
59 C 22. 327 C 22. 327 C 1.1 327 C 1. 327 C 1.3 327 C 1.4 327 C 1.5 327 C 1.5 322 C 1.8 322 C 1.1 322 C 1. 305 C 1.2 305 C 1. 305
60 A 0. 285 A 0. 285 A 0. 285 A 0. 285 A 0.1 285 A 0.1 285 A 0.1 285 A 0.1 285 A 0.1 285 A 0.1 285 A 0. 285 A 0. 285 A 0. 285
61 A 0. 92 A 0. 92 A 0. 92 A 0. 92 A 0. 92 A 0. 92 A 0. 92 A 0. 92 A 0. 92 A 0. 92 A 0. 92 A 0. 92 A 0. 92
62 C 16.1 5218 C 16.1 5218 C 6.1 5218 C 6.1 5218 C 6.1 5218 C 6.2 5218 C 6.2 5218 C 6.2 5218 C 6.1 5218 C 6.1 5218 C 6.1 5218 C 6.1 5218 C 6.1 5218
63 C 11.4 822 C 11.5 822 C 2.4 822 C 2. 822 C 2.6 822 C 3.9 822 C 4.2 822 C 3.9 822 C 4. 822 C 2.9 822 C 2.4 822 C 2.4 847 C 2. 847
64 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37 A 0. 37
65 A 0. 114 A 0. 114 A 0. 114 A 0. 114 A 0. 114 A 0. 114 A 0. 114 A 0. 114 A 0. 114 A 0. 114 A 0. 114 A 0. 114 A 0. 114
66 C 0. 57 C 0. 57 C 0. 57 C 0. 57 C 0. 57 C 0. 57 C 0. 57 C 0. 57 C 0. 57 C 0. 57 C 0. 57 C 0. 57 C 0. 57
67 A 0. 35 A 0. 35 A 0. 35 A 0. 35 A 0. 35 A 0. 35 A 0. 35 A 0. 35 A 0. 35 A 0. 35 A 0. 35 A 0. 35 A 0. 35
68 A 0. 204 A 0. 204 A 0. 204 A 0. 204 A 0.1 204 A 0. 204 A 0. 204 A 0. 204 A 0. 204 A 0. 204 A 0. 204 A 0. 204 A 0. 204
69 B 16.1 3526 B 16.1 3526 B 6.1 3526 B 6.1 3526 B 6.1 3526 B 6.1 3526 B 6.1 3526 B 6.1 3526 B 6.1 3526 B 6.1 3526 B 6.1 3526 B 6.1 3526 B 6.1 3579
70 B 14. 5647 B 14. 5647 B 6.1 5647 B 6.1 5647 B 6.2 5647 B 6.2 5647 B 6.2 5647 B 6.1 5647 B 6.1 5647 B 6.1 5647 B 6.1 5647 B 6.1 5603 B 6.1 5603
71 C 0. 55 C 0. 55 C 0. 55 C 0. 55 C 0. 55 C 0. 55 C 0. 55 C 0. 55 C 0. 55 C 0. 55 C 0. 55 C 0. 55 C 0. 55
72 C 10.1 826 C 10.1 826 C 0.1 826 C 0.1 826 C 0.2 826 C 0.2 826 C 0.2 826 C 0.2 826 C 0.2 826 C 0.2 826 C 0.1 826 C 0.9 936 C 0.7 936
73 C 15.9 4974 C 16. 5428 C 6.1 5428 C 6. 5428 C 6.1 5428 C 6.1 5428 C 6.1 5428 C 6.1 5428 C 6.1 5428 C 6.1 5428 C 6.1 5428 C 6.1 6019 C 6. 6019