2.109 4_Trig_functions\4.3aSecant\4.3.1.4(dtan)^n(a+bsec)^m

Table 111: 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 0.3 106 A 0.5 106 A 0.5 106 A 0.4 106 A 0.5 106 A 0.1 118 A 0.1 118 A 0.1 118 A 0.1 118 A 0.1 118 A 0.1 118 A 0.1 118 A 0.1 118
2 A 0.1 87 A 0.3 82 A 0.3 82 A 0.3 82 A 0.3 82 A 0.1 87 A 0.1 87 A 0.1 87 A 0.1 87 A 0.1 87 A 0. 87 A 0.1 87 A 0.1 87
3 A 0. 25 A 0. 25 A 0. 25 A 0. 25 A 0. 25 A 0.1 25 A 0.1 25 A 0.1 25 A 0.1 25 A 0.1 25 A 0. 25 A 0. 25 A 0. 25
4 A 0. 160 A 0.2 175 A 0.6 127 A 0.5 127 A 0.7 127 A 0.1 160 A 0.1 160 A 0.1 160 A 0.1 160 A 0.1 160 A 0. 160 A 0.1 141 A 0.1 160
5 A 0. 179 A 0. 179 A 1.4 95 A 1.3 95 A 1.5 95 A 3.4 170 A 3.4 170 A 3.1 170 A 3.1 170 A 2.9 170 A 2.5 170 A 1.7 130 A 2.8 170
6 A 0.2 86 A 0.2 86 A 0.3 86 A 0.3 86 A 0.3 86 A 0.7 120 A 0.7 120 A 0.6 120 A 0.6 120 A 0.6 120 A 0.4 120 B 0.2 307 B 0.2 307
7 A 0.2 114 A 0.2 114 A 0.2 114 A 0.2 114 A 0.2 114 A 1.1 230 A 1.2 230 A 1. 230 A 1.1 230 A 1.2 145 A 1. 145 B 0.3 406 B 0.3 406
8 A 0.7 218 A 0.6 218 B 1.5 337 B 1.4 337 B 2.3 337 B 5.6 337 B 5.7 337 B 4.4 337 B 2. 337 B 2.2 768 B 1.2 337 C 0.2 456 C 0.2 492
9 C 0. 46 C 0. 46 C 0. 46 C 0. 46 C 0. 46 A 0.1 25 A 0.1 25 A 0.1 25 A 0.1 25 A 0.1 25 A 0.1 25 A 0. 32 A 0. 32
10 C 0.6 121 C 0.6 121 B 1.2 312 B 1. 312 B 1.2 312 B 1.9 312 B 1.8 312 B 1.6 312 B 1.6 312 B 3.7 312 B 1.1 302 B 0.4 339 B 0.4 339
11 C 1.6 141 C 1.6 141 B 1.9 428 B 1.8 428 B 2.2 428 B 3.7 428 B 3.4 428 B 3.2 428 B 2.9 428 C 7.1 1823 B 2.3 418 B 0.9 457 B 0.9 457
12 A 0. 44 A 0.1 46 A 0.1 46 A 0.1 46 A 0.1 46 A 0.1 38 A 0.1 38 A 0. 38 A 0. 38 A 0. 38 A 0. 38 A 0. 38 A 0. 38
13 A 0.6 200 A 0.6 200 A 1.4 303 A 1.3 303 A 1.6 303 A 3.6 303 A 3.4 303 A 3.2 303 A 1.7 303 B 1.8 666 A 1.6 303 C 0.2 422 C 0.1 456
14 C 3.3 159 C 3.3 159 A 6.2 268 A 5.7 268 B 7.1 1035 B 7.8 1035 B 7.8 1035 B 7.6 1035 B 7.8 1035 C 7.7 2079 B 2.9 476 B 1.1 516 B 1.1 516
15 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0. 19 A 0.1 22 A 0.1 22 A 0.1 22 A 0.1 22 A 0. 22 A 0. 22 A 0. 22 A 0. 22
16 A 0.4 97 A 0.4 97 A 0.7 107 A 0.6 107 A 0.7 107 A 2.6 105 A 2.5 105 A 2.3 105 A 2.2 105 A 1.8 95 A 1.5 95 A 1.6 95 A 1.6 95
17 B 2.2 301 B 2.1 301 B 0.9 301 B 0.9 301 B 1. 301 B 3.7 301 B 3.7 301 B 3.4 301 B 1.2 301 B 1.4 666 B 0.9 301 B 1.1 268 B 1.3 268
18 A 0.6 154 A 0.6 154 A 0.9 154 A 0.8 154 A 1.1 154 A 3.3 151 A 3.1 151 A 2.7 151 A 2.5 151 A 1.7 151 A 1.5 151 A 1.9 136 A 2. 136
19 B 7. 767 B 7. 767 B 6.4 767 B 6.3 767 B 6.4 767 B 6.5 767 B 6.5 767 B 6.4 767 B 6.4 767 B 6.4 767 B 6.2 767 B 1.2 152 B 1.1 152
20 B 0.9 177 B 1. 177 B 0.5 177 B 0.5 177 B 0.5 177 B 0.8 177 B 0.7 177 B 0.7 177 B 0.7 177 B 0.6 177 B 0.4 105 B 0.4 71 B 0.4 71
21 A 0.4 140 A 0.4 140 A 0.3 140 A 0.3 140 A 0.3 140 A 1.5 140 A 1.5 140 A 1.3 140 A 1.3 140 A 1.1 140 A 1. 140 A 1.1 140 A 1.1 140
22 B 1.5 241 B 1.5 241 B 1. 241 B 0.9 241 B 1.1 241 B 2. 241 B 1.7 241 B 1.6 241 B 1.3 241 B 1.1 241 B 0.9 169 A 0.9 122 A 0.9 122
23 C 2.1 196 C 2.1 196 C 2.7 196 C 2.6 196 C 3.2 196 C 16.6 312 C 14. 312 C 13.9 312 C 12.1 229 C 11. 251 C 4.5 251 C 4. 229 C 3.1 251
24 C 11.3 106 C 11.3 106 C 1.5 106 C 1.4 106 C 1.4 106 C 6.5 249 C 6.1 249 C 5.6 249 C 5. 249 C 143.1 130 C 104.5 143 F 0 0 F 0 0
25 C 12.4 220 C 12.5 220 C 2.8 220 C 2.6 220 C 2.8 220 C 5.4 218 C 5.1 218 C 4.6 218 C 4.5 218 C 52.4 131 C 0.9 172 C 0.8 172 C 0.8 172
26 C 21.2 271 C 20.7 271 C 52.5 271 C 48.7 271 C 34.6 271 C 42. 262 C 35.5 262 C 33.2 262 C 31.2 262 C 42.5 144 C 4.5 202 C 4.8 202 C 5.3 202
27 A 0.4 102 A 0.4 102 A 0.6 102 A 0.6 102 A 0.6 102 B 8.7 533 B 8.4 533 B 8.2 533 B 5.8 339 A 3.5 185 A 4.6 190 A 2.9 185 B 7.8 706
28 C 0.2 87 C 0.2 87 C 0.3 87 C 0.3 87 C 0.3 87 B 6.1 273 C 25.6 8295 C 25.5 8295 A 1.4 195 B 3.9 287 B 4.2 279 B 3.6 269 B 9.3 767
29 A 6.5 110 A 6.8 110 A 5.8 110 A 5.8 110 A 5.9 110 C 14.2 681 C 31.7 8035 C 31.6 8035 C 17.6 681 C 11.1 681 C 10. 691 C 9.7 653 C 9.1 566
30 A 4. 210 A 4. 210 C 24.2 5594 C 23.8 5604 C 24.2 5604 A 7.6 274 C 26.9 14226 C 26.5 14226 A 1.2 193 A 6.7 224 A 6.8 274 A 2.6 190 C 15.8 5727
31 C 0.2 104 C 0.2 104 C 0.3 104 C 0.3 104 C 0.3 104 A 7.1 311 C 25.7 8331 C 25.6 8331 A 6.2 312 A 5.9 309 A 5.7 315 A 5. 306 B 8.4 805
32 A 8. 147 A 7.9 147 A 8.6 147 A 8.4 147 A 8.9 147 C 14.7 1214 C 32.3 8605 C 32.2 8605 C 16.9 1214 C 10.4 1214 C 9.7 1082 C 10.9 1039 C 9.4 1063
33 A 6.4 97 A 6.4 97 A 5.6 97 A 5.5 97 A 5.6 97 C 13.3 604 C 31.7 7947 C 31.6 7947 C 14.8 604 C 9.3 604 C 8.8 593 C 8.6 553 C 8.9 574
34 A 0.3 102 A 0.3 102 A 0.4 102 A 0.4 102 A 0.4 102 C 11.3 389 C 25.5 7708 C 25.5 7708 C 10.7 389 C 8.4 389 C 7.9 389 C 7.5 357 C 5.2 332
35 A 0.5 156 A 0.5 156 A 0.8 156 A 0.7 156 A 0.8 156 B 10.5 925 B 10. 925 B 9.8 925 B 8.3 449 B 7.6 925 B 7.5 853 A 4.8 290 B 7.6 1009
36 A 0.6 109 A 0.7 109 A 1.4 138 A 1.3 138 A 1.5 138 B 8.1 355 C 25.6 8319 C 25.6 8319 B 6.2 300 B 3.6 305 B 3.5 311 A 3.3 294 B 8.4 793
37 A 0.1 66 A 0.1 66 A 0.1 66 A 0.1 66 A 0.1 66 B 2.8 165 B 2.7 165 B 2.5 165 B 2. 189 B 2.5 162 B 3.1 167 B 2.3 162 B 1.2 275
38 C 0. 38 C 0. 38 C 0. 38 C 0. 38 C 0. 38 B 2.1 179 B 2. 179 B 1.9 179 B 4. 167 B 1.2 168 B 1.3 173 B 1. 168 B 1.1 269
39 C 0.1 90 C 0.1 90 C 0.2 90 C 0.2 90 C 0.1 90 B 7.9 375 C 25.7 8337 C 25.5 8337 A 6.1 320 A 4.7 326 A 4.7 327 A 3.8 302 B 8.3 805
40 A 0. 50 A 0. 50 A 0.1 50 A 0.1 50 A 0.1 50 B 3.7 179 B 3.7 179 B 3.3 179 B 6. 167 B 2. 168 B 2.2 173 B 1.7 168 B 1.1 269
41 B 6.1 447 B 6. 447 B 6.1 447 B 6.1 447 B 6.1 447 C 11.7 431 C 25.7 7739 C 25.4 7739 C 12.8 431 C 8.1 431 C 7.7 431 C 5.3 370 C 7.8 412
42 A 6. 241 A 5.8 241 C 24.3 5584 C 23.8 5594 C 24.3 5594 A 7.3 276 C 26.9 14214 C 26.6 14214 A 5. 179 A 6.8 276 A 6.7 276 A 4.2 226 C 15.5 5717
43 A 0.4 105 A 0.5 105 A 0.8 105 A 0.7 105 A 1. 105 C 18.8 2548 C 13.5 858 C 13.3 858 C 14.3 858 C 6.6 381 F 0 0 F 0 0 F 0 0
44 C 10. 329 C 10.1 329 C 6.9 329 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 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 A 3. 260 A 2.6 260 A 6. 260 A 1.2 116
47 A 0.3 87 A 0.3 87 A 0.5 87 A 0.4 87 A 0.5 87 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 A 54.8 244 A 55.3 244
48 A 0. 43 A 0. 43 A 0. 43 A 0. 43 A 0. 43 A 1.5 53 A 1.4 53 A 1.3 53 A 1.7 53 A 0.9 53 A 0.6 53 A 1.5 53 A 19. 68
49 B 6.1 910 B 6.1 910 B 11.3 910 B 15. 2419 B 15.3 2419 B 16.8 2419 B 5.2 410 B 5.2 410 B 6. 410 B 4. 419 B 3.4 419 B 3.7 410 A 1.1 130
50 B 2.9 893 B 2.8 893 B 5. 893 B 15.3 2492 B 15.8 2492 B 17.7 2492 B 6.3 360 B 6. 360 B 6.7 360 B 4.9 416 B 5.6 416 B 5.7 413 A 1.8 151
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 F 0 0 F 0 0 B 5.5 532 B 7.9 533 B 3.8 219
52 C 12.8 169 C 12.9 169 C 1.9 169 C 1.8 169 C 1.9 169 C 2.7 169 C 8.3 169 C 7.2 169 C 2.3 169 C 2.4 225 C 2.7 122 C 1.6 120 C 1.4 159
53 C 1.4 189 C 1.4 189 C 1.7 189 C 1.6 189 C 1.8 189 C 9.9 200 C 7.7 200 C 7.4 202 C 7.4 202 C 5.3 216 C 4.4 216 C 4. 216 C 0.9 96
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 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0
55 A 0. 25 A 0. 25 A 0. 25 A 0. 25 A 0. 25 A 0.1 25 A 0.1 25 A 0.1 25 A 0.1 25 A 0.1 25 A 0. 25 A 0. 25 A 0. 25
56 A 0. 117 A 0. 117 A 0.7 79 A 0.6 79 A 0.7 79 B 6.1 230 B 6.1 230 B 6.1 230 B 6.1 230 B 6. 230 B 6. 230 A 1.9 105 B 6. 230
57 C 0. 92 C 0. 92 C 0.1 92 C 0. 92 C 0. 92 B 0.1 300 B 0.1 300 B 0.1 300 B 0.1 300 B 0.1 300 B 0. 300 B 0. 300 B 0.1 300
58 A 0.6 89 A 0.6 89 A 0.5 82 A 0.5 82 A 0.5 82 A 0.6 82 A 0.6 82 A 0.6 82 A 0.6 82 A 0.7 82 A 0.6 86 A 0.4 91 A 0.6 82
59 A 0.6 39 A 0.6 39 A 0.4 39 A 0.4 39 A 0.4 39 A 0.5 39 A 0.4 39 A 0.4 39 A 0.4 39 A 0.4 39 A 0.2 39 B 0. 136 B 0. 136
60 C 0.3 70 C 0.3 70 A 0.5 122 A 0.5 122 A 0.5 122 A 0.6 122 A 0.6 122 A 0.5 122 A 0.5 122 A 0.5 122 A 0.4 122 A 0.5 122 A 0.5 122
61 C 0.4 84 C 0.4 84 A 0.6 198 A 0.6 198 A 0.7 198 A 0.9 198 A 0.9 198 A 0.8 198 A 0.7 198 A 0.8 198 A 0.7 198 A 0.7 198 A 0.8 198
62 A 3.8 228 A 3.9 228 B 6.2 520 B 6.2 520 B 6.2 520 B 6.3 520 B 6.3 520 B 6.3 520 B 6.3 520 B 6.2 520 B 6.2 520 B 6.2 520 B 6.2 520
63 A 0.2 82 A 0.2 82 A 0.1 70 A 0.1 70 A 0.1 70 A 0.1 70 A 0.1 70 A 0.1 70 A 0.1 70 A 0.1 70 A 0.1 73 A 0.1 69 A 0.1 69
64 B 1.8 287 B 1.8 287 B 2.2 287 B 2.1 287 B 2.4 287 B 5.2 287 B 4.9 287 B 3.8 287 B 3.2 287 B 2.9 287 B 2.5 287 B 2.6 287 A 2.3 172
65 A 0.4 136 A 0.4 136 A 0.4 189 A 0.3 189 A 0.4 189 A 0.6 189 A 0.6 189 A 0.6 189 A 0.4 189 A 0.5 207 A 0.5 159 A 0.5 155 A 0.6 155
66 C 20. 548 C 20.3 548 C 7.4 202 C 7. 202 C 9.2 202 C 21.1 755 C 17.1 548 C 16.4 548 C 18.9 548 C 18.4 1786 C 5.3 202 C 5.7 202 C 10.8 1786
67 C 53.8 2169 C 53.7 2169 C 24.5 2169 C 23.9 2169 C 28. 2554 C 29.7 2554 C 33. 1553 C 24.4 1565 C 23.8 1820 C 21.8 1986 C 20.5 1976 C 19.2 1977 C 13. 1822
68 A 0.3 100 A 0.3 100 B 6.1 218 B 6.2 218 B 6.8 218 C 25.6 2955 B 5.1 528 B 4.9 528 C 19.7 614 C 35.8 614 C 23. 743 B 18.9 297 C 20.9 6242
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 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 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 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0