2.197 8_Special_functions\8.6Gammafunctions

Table 199: Breakdown of results for each integral
















































































4.16.0.4
4.15.2
4.14.1
4.13.3
4.12.3
4.11
4.10.1
4.9
4.8
4.7
4.5
4.3
3








































# 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 0.01 25 A 0.01 25 A 0.02 25 A 0.02 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.02 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0. 25








































2 A 0.01 18 A 0.01 18 A 0.02 18 A 0.02 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.02 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0. 18








































3 A 0.01 25 A 0.01 25 A 0.02 25 A 0.02 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.02 25 A 0.02 25 A 0.02 25 A 0.01 25 A 0.01 25 A 0. 25








































4 A 0.04 52 A 0.03 52 A 0.06 52 A 0.07 52 A 0.05 52 A 0.05 52 A 0.04 52 A 0.06 52 A 0.06 52 A 0.06 52 A 0.05 52 A 0.05 52 A 0. 52








































5 A 0.01 5 A 0.01 5 A 0.02 5 A 0.02 5 A 0.01 5 A 0.01 5 A 0.01 5 A 0.01 5 A 0.01 5 A 0.01 5 A 0.01 5 A 0.01 5 A 0. 5








































6 A 0.05 56 A 0.05 56 A 0.07 56 A 0.08 56 A 0.06 56 A 0.05 56 A 0.05 56 A 0.06 56 A 0.06 56 A 0.06 56 A 0.06 56 A 0.06 56 A 0. 56








































7 A 0.01 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0. 25








































8 A 0.02 14 A 0.02 14 A 0.03 14 A 0.04 14 B 0.03 48 B 0.03 48 B 0.03 48 B 0.03 48 B 0.04 48 B 0.03 48 B 0.03 48 B 0.03 48 F 0 0








































9 A 0. 18 A 0. 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0. 18








































10 A 0.01 18 A 0.01 18 A 0.02 18 A 0.02 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.02 18 A 0.02 18 A 0.02 18 A 0.01 18 A 0.01 18 A 0. 18








































11 A 0. 18 A 0. 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0.01 18 A 0. 18








































12 A 0.01 25 A 0.01 25 A 0.02 25 A 0.02 25 A 0.01 25 A 0.01 25 A 0.01 25 A 0.02 25 A 0.02 25 A 0.02 25 A 0.01 25 A 0.01 25 A 0. 25








































13 A 0.03 55 A 0.03 55 A 0.06 55 A 0.16 78 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








































14 A 0.01 29 A 0.01 29 A 0.02 29 A 0.02 29 A 0.02 29 A 0.01 29 A 0.01 29 A 0.01 29 A 0.02 29 A 0.02 29 A 0.01 29 A 0.01 29 A 0. 29








































15 A 0. 22 A 0. 22 A 0.01 22 A 0.01 22 A 0.01 22 A 0.01 22 A 0.01 22 A 0.01 22 A 0.01 22 A 0.01 22 A 0.01 22 A 0.01 22 A 0. 22








































16 A 0.01 29 A 0.01 29 A 0.01 29 A 0.01 29 A 0.01 29 A 0.01 29 A 0.01 29 A 0.01 29 A 0.01 29 A 0.01 29 A 0.01 29 A 0.01 29 A 0. 29








































17 A 0.01 22 A 0.01 22 A 0.02 22 A 0.02 22 A 0.01 22 A 0.01 22 A 0.01 22 A 0.01 22 A 0.02 22 A 0.01 22 A 0.01 22 A 0.01 22 A 0. 22








































18 A 0.01 24 A 0.01 24 A 0.02 24 A 0.02 24 A 0.02 24 A 0.02 24 A 0.02 24 A 0.03 24 A 0.03 24 A 0.03 24 A 0.03 24 A 0.03 24 A 0. 28








































19 A 0.01 27 A 0.01 27 A 0.02 27 A 0.02 27 A 0.02 27 A 0.01 27 A 0.01 27 A 0.02 27 A 0.02 27 A 0.02 27 A 0.01 27 A 0.01 27 A 0. 27








































20 A 0.01 27 A 0.01 27 A 0.02 27 A 0.02 27 A 0.02 27 A 0.01 27 A 0.01 27 A 0.01 27 A 0.02 27 A 0.01 27 A 0.01 27 A 0.01 27 A 0. 27








































21 A 0.01 24 A 0.01 24 A 0.01 24 A 0.01 24 A 0.01 24 A 0.01 24 A 0.01 24 A 0.01 24 A 0.01 24 A 0.01 24 A 0.01 24 A 0.01 24 A 0. 24








































22 A 0.01 31 A 0.01 31 A 0.02 31 A 0.02 31 A 0.02 31 A 0.02 31 A 0.02 31 A 0.02 31 A 0.02 31 A 0.02 31 A 0.02 31 A 0.02 31 F 0 0








































23 A 0.01 32 A 0.01 32 A 0.01 32 A 0.01 32 A 0.01 32 A 0.01 32 A 0.01 32 A 0.01 32 A 0.01 32 A 0.01 32 A 0.01 32 A 0.01 32 A 0. 32








































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 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0








































25 A 0.39 137 A 0.4 137 A 0.64 137 A 0.71 137 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








































26 B 0.07 87 B 0.07 87 B 0.11 87 B 0.12 87 B 0.1 87 B 0.09 87 B 0.08 87 B 0.15 87 B 0.13 87 B 0.13 87 B 0.13 87 B 0.13 87 B 0.01 139








































27 A 0.04 62 A 0.04 62 A 0.07 62 A 0.07 62 A 0.06 62 A 0.05 62 A 0.05 62 A 0.05 62 A 0.05 62 A 0.04 62 A 0.04 62 A 0.04 62 B 0.01 101








































28 A 0. 15 A 0. 15 A 0.01 15 A 0.01 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








































29 A 0.36 98 A 0.36 98 A 0.57 98 A 0.61 98 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








































30 A 0.53 197 A 0.53 197 A 0.87 197 A 0.95 197 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








































31 A 0.39 120 A 0.39 120 A 0.61 120 A 0.66 120 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








































32 A 0.58 205 A 0.56 205 A 0.92 205 A 1. 205 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








































33 A 0.1 69 A 0.1 69 A 0.15 69 A 0.16 69 A 0.13 69 A 0.11 69 A 0.1 69 A 0.13 69 A 0.14 69 A 0.13 69 A 0.32 92 A 0.3 92 F 0 0








































34 A 0.1 76 A 0.09 76 A 0.15 76 A 0.16 76 A 0.12 76 A 0.1 76 A 0.09 76 A 0.11 76 A 0.11 76 A 0.1 76 A 0.36 101 A 0.35 101 F 0 0








































35 A 0.1 80 A 0.1 80 A 0.16 80 A 0.17 80 A 0.13 80 A 0.11 80 A 0.1 80 A 0.13 80 A 0.14 80 A 0.13 80 B 0.51 191 B 0.5 191 F 0 0








































36 A 0.1 74 A 0.1 74 A 0.15 74 A 0.16 74 A 0.12 74 A 0.1 74 A 0.1 74 A 0.13 74 A 0.13 75 A 0.12 75 A 0.27 78 A 0.26 78 F 0 0








































37 A 0.18 150 A 0.18 150 A 0.3 150 A 0.33 150 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








































38 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 F 0 0 F 0 0








































39 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 F 0 0 F 0 0








































40 A 0.34 169 A 0.35 169 A 0.56 169 A 0.58 169 B 1.31 458 B 1.17 458 B 1.08 458 B 1.28 458 B 1.26 458 B 1.17 458 B 1.66 458 B 1.65 458 B 0.23 1610








































41 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 F 0 0 F 0 0








































42 A 0.05 74 A 0.05 74 A 0.09 74 A 0.09 74 B 0.22 166 B 0.23 166 B 0.2 166 B 0.21 166 B 0.23 166 B 0.23 166 B 0.21 166 B 0.21 166 B 0.06 166








































43 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 F 0 0 F 0 0








































44 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 F 0 0 F 0 0








































45 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 F 0 0 F 0 0








































46 A 0.01 15 A 0.01 15 A 0.02 15 A 0.02 15 A 0.02 15 A 0.02 15 A 0.02 15 A 0.02 15 A 0.02 15 A 0.02 15 A 0.02 15 A 0.02 15 A 0.01 15