2.115 4_Trig_functions\4.3aSecant\4.3.7(dtrig)^m(a+b(csec)^n)^p

Table 117: 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 88 A 0.2 88 A 0.1 88 A 0.1 88 A 0.1 88 A 0.1 88 A 0.1 88 A 0. 88 A 0. 88 A 0.1 88 A 0. 88 A 0. 88 A 0. 88
2 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53
3 B 0.1 58 B 0.2 84 B 0.1 84 B 0. 84 B 0. 84 B 0. 84 B 0. 84 B 0. 84 B 0. 84 B 0. 84 B 0. 92 C 0. 174 B 0. 84
4 A 0.3 78 A 0.3 78 A 0.3 78 A 0.3 78 A 0.3 78 A 0.5 78 A 0.5 78 A 0.5 78 A 0.4 78 A 0.4 78 A 0.4 78 A 0. 118 A 0. 118
5 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
6 A 3.5 151 A 3.5 151 A 1.4 151 A 1.3 151 A 1.5 151 A 2.1 151 A 2.1 151 A 2. 151 A 1.7 151 C 6.4 830 A 1.4 102 A 1.4 102 A 1.1 102
7 B 1.8 353 B 1.8 353 B 1.7 353 B 1.6 353 B 2.4 353 B 3.3 353 B 3.9 353 B 3.5 353 B 2.1 353 C 6.6 1631 B 2.7 382 B 2.9 382 B 2.6 382
8 C 1.9 376 C 1.9 376 C 2.4 376 C 2.3 376 C 3. 376 C 4.8 376 C 4.9 376 C 4. 540 C 3.3 540 C 3.3 582 C 2.4 582 C 2.5 590 C 2.2 598
9 C 1.9 371 C 1.9 371 C 1.7 371 C 1.6 371 C 2.7 371 C 4.3 371 C 4.4 371 C 3.7 371 C 2.4 371 C 2.2 371 C 1.9 371 C 1.9 375 C 1.7 379
10 C 2. 303 C 2. 303 C 2.4 303 C 2.3 303 C 2.5 303 C 3.9 303 C 4. 303 C 3.7 303 C 3.3 303 C 3. 303 C 2.4 538 C 2.7 538 C 1.9 546
11 C 0.6 245 C 0.6 245 C 0.9 245 C 0.9 245 C 1.1 245 C 1.6 245 C 1.6 245 C 1.5 245 C 1.2 245 C 0.6 245 C 0.8 251 C 0.9 251 C 0.5 255
12 C 3.5 393 C 3.6 393 C 4.5 393 C 4.1 393 C 8.7 804 C 10.3 804 C 10.4 804 C 7.9 461 C 4.7 461 C 2.7 452 C 2.1 452 C 2.2 458 C 2.2 464
13 C 12.3 1105 C 12.2 1105 C 15.3 1105 C 14.7 1105 C 15.8 1354 C 17.7 1354 C 17.9 1354 C 17.5 1354 C 17.5 1354 C 16.9 3520 C 15.4 1104 C 15.8 1351 C 14.4 1112
14 C 8.8 1153 C 8.9 1153 C 12.6 1392 C 12.3 1392 C 14.2 1392 C 18.2 1392 C 18.6 1392 C 17.3 1360 C 14. 1360 C 12.9 1344 C 10.5 1344 C 10.9 1356 C 10.7 1368
15 C 16. 1639 C 16.1 1639 C 21.1 1639 C 20. 1639 C 22.9 1639 C 29.3 2349 C 29.8 2349 C 25.3 2057 C 25.2 2057 C 26.5 13325 C 23.9 3660 C 24.8 3660 C 24.2 3668
16 C 15.4 1915 C 14.5 1915 C 20.5 1915 C 17.7 1915 C 24.7 2187 C 30.4 2480 C 31. 2480 C 26.4 2187 C 23.4 1915 C 22.9 9153 C 15.4 2593 C 16.3 2593 C 13.1 2605
17 C 6.2 749 C 6.2 749 C 7. 987 C 6.9 987 C 6.9 987 C 7.2 987 C 7.3 987 C 7.2 987 C 7.2 987 C 7.1 3158 C 6.8 997 C 6.8 997 C 6.7 997
18 C 2.5 285 C 2.5 285 C 3.9 285 C 3.8 285 C 8.8 309 C 6.5 309 C 6.6 309 C 5.5 309 C 4.5 309 C 4.1 309 C 3. 309 F 0 0 F 0 0
19 A 1. 188 A 0.9 188 A 1.5 188 A 1.5 188 A 1.5 188 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 A 0.5 164 A 0.5 164 A 0.8 164 A 0.8 164 A 0.8 164 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 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0
22 C 0.2 78 C 0.1 78 C 0.2 78 C 0.2 78 C 0.3 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
23 A 1.1 64 A 1.1 64 A 1.5 64 A 1.5 64 A 1.6 64 A 1.2 64 A 1.2 64 A 1.2 64 A 1. 64 A 0.9 64 A 0.7 64 A 0.7 64 A 0.6 64
24 A 3.6 229 A 3.6 229 A 5.6 229 A 5.4 229 A 5.9 229 C 64. 2543 C 60.7 2543 C 58.6 3538 C 42.9 3470 C 35.6 3470 C 27.9 3665 F 0 0 F 0 0
25 A 1. 190 A 1. 190 A 2.1 190 A 1.3 190 A 3.1 190 C 27.2 1522 C 13.2 1522 C 15.7 1985 C 8.7 1917 C 6.9 1917 C 6. 2015 F 0 0 F 0 0
26 A 2.6 129 A 2.6 129 A 2.9 129 A 2.8 129 A 3. 129 A 4.1 129 A 4.3 129 A 3.9 129 A 3.6 129 A 3.3 129 A 2.2 129 A 2.4 129 A 2. 129
27 A 0.8 68 A 0.8 68 A 2. 68 A 1.8 68 A 2. 68 A 2.2 68 A 2.3 68 A 2.1 68 A 1.8 68 A 1.9 68 A 1.4 68 F 0 0 F 0 0
28 B 19.6 3781 B 19.6 3781 B 21.9 3781 B 22.3 3781 B 23.1 3781 B 24.7 3957 B 14.3 1024 B 14.1 1024 B 11.6 375 A 0.7 111 A 0.5 111 B 3.1 223 A 1.8 109
29 A 1.7 132 A 1.7 132 A 2.6 132 A 2.4 132 A 2.6 132 A 2.1 112 A 2.3 112 A 2. 112 A 1.7 112 A 1.8 113 A 1.4 113 F 0 0 F 0 0
30 A 0. 42 A 0. 42 A 0. 42 A 0. 42 A 0. 42 A 0.1 40 A 0.1 40 A 0. 40 A 0. 40 A 0.1 40 A 0. 40 A 0. 40 A 0. 40
31 A 0. 137 A 0. 137 A 0.4 75 A 0.3 75 A 0.4 75 A 5.9 122 A 5.9 122 A 5.8 122 A 5.9 122 A 5.7 122 A 5.4 122 A 0.5 88 A 5.5 122
32 A 0. 93 A 0. 93 A 0.1 54 A 0.1 54 A 0.1 54 A 3.1 104 A 3.3 104 A 3. 104 A 2.6 104 A 2.7 104 A 2.2 104 A 0.4 66 A 2.1 104
33 A 0. 35 A 0. 35 A 0. 35 A 0. 35 A 0. 35 B 0. 92 B 0. 92 B 0. 92 B 0. 92 B 0. 92 B 0. 92 C 0. 164 C 0. 164
34 A 0. 50 A 0. 50 A 0. 50 A 0. 50 A 0. 50 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53
35 A 0.1 61 A 0.2 61 A 0.2 61 A 0.2 61 A 0.2 61 A 0. 95 A 0. 95 A 0. 95 A 0. 95 A 0. 95 A 0. 95 A 0. 95 A 0. 95
36 A 0.1 68 A 0.1 68 A 0.1 68 A 0.1 68 A 0.1 68 A 0.2 68 A 0.2 68 A 0.1 68 A 0.1 68 A 0.1 68 A 0.1 68 A 0. 107 A 0. 107
37 A 0.3 75 A 0.3 75 A 0.4 75 A 0.4 75 A 0.4 75 B 0.1 190 B 0.1 190 B 0.1 190 B 0. 190 B 0. 190 B 0. 190 B 0. 190 B 0. 190
38 A 0.6 136 A 0.6 136 A 0.8 136 A 0.8 136 A 1. 136 A 1.6 136 A 1.8 136 A 1. 122 A 0.9 122 C 4.3 1271 C 3.4 1281 C 3.2 1271 C 2.7 1317
39 C 1.7 192 C 1.7 192 C 0.9 192 C 0.8 192 C 0.9 192 C 1.4 192 C 1.5 192 C 1.4 192 C 1.2 192 C 0.7 192 C 0.7 198 C 0.7 198 C 0.6 204
40 A 0.4 89 A 0.4 89 C 4.2 945 C 4.1 945 C 5.5 945 C 7.9 2271 C 8. 2271 C 7.8 2271 C 6.4 1081 C 4.2 1081 C 5. 1086 C 5.2 1081 C 4.3 1113
41 C 1.9 211 C 1.9 211 C 1.1 211 C 1. 211 C 1.2 211 C 1.7 211 C 1.8 211 C 1.6 211 C 1.4 211 C 1.1 211 C 1.2 205 C 1.3 205 C 1. 209
42 A 0.7 163 A 0.7 163 A 1.1 163 A 1. 163 A 1.2 163 C 7.9 2214 C 8. 2214 C 7.8 2214 C 7.6 2278 C 6.4 1039 C 7. 2310 C 6.9 2278 C 6.8 2278
43 C 7.2 2670 C 7.3 2670 C 7.8 2670 C 7.6 2670 C 7.8 2670 C 8.7 2670 C 8.8 2670 C 8.6 2670 C 8.2 2734 C 7.9 2734 C 7.4 2766 C 7.2 2734 C 7.1 2734
44 C 3.8 283 C 3.8 283 C 4.1 283 C 3.8 283 C 4.4 283 C 6.7 539 C 6.7 539 C 5.3 283 C 4.8 283 C 3.6 283 C 5.1 262 C 5.5 262 C 5.4 266
45 C 3.3 265 C 3.3 265 C 2.9 265 C 2.7 265 C 3.3 265 C 5.2 265 C 5.4 265 C 5.4 265 C 4.5 265 C 3.8 265 C 3.8 272 C 4.1 272 C 4. 276
46 C 8.4 1134 C 8.3 1134 C 6.6 1430 C 6.6 1430 C 6.6 1430 C 6.8 1430 C 6.9 1430 C 6.8 1430 C 6.8 1430 C 6.8 5163 C 6.5 1436 C 6.6 1436 C 6.5 1436
47 C 8.6 1411 C 8.6 1411 C 7. 1411 C 6.9 1411 C 7. 1411 C 7.3 1411 C 7.3 1411 C 7.2 1411 C 7.3 1411 C 7.3 4977 C 6.8 1421 C 6.9 1421 C 6.8 1879
48 A 0.1 48 A 0.1 48 A 0.1 48 A 0.1 48 A 0.1 48 A 0.3 54 A 0.3 54 A 0.3 54 A 0.3 54 A 0.4 60 A 0.2 44 A 0.2 44 A 0.2 44
49 A 0.2 59 A 0.2 67 A 0.3 69 A 0.3 69 A 0.3 69 A 0.6 59 A 0.6 59 A 0.5 59 A 0.5 59 A 0.3 67 A 0.2 67 A 0.3 67 A 0.2 67
50 A 0.1 71 A 0.3 79 A 0.4 79 A 0.3 79 A 0.4 79 A 0.3 71 A 0.3 71 A 0.3 71 A 0.2 71 A 0.2 83 A 0.2 83 A 0.2 83 A 0.2 83
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 F 0 0 F 0 0 F 0 0
52 C 10.2 349 C 10.2 349 C 8.8 390 C 8.5 390 C 8.8 390 C 6.5 322 C 6.4 322 C 5.5 322 C 4.6 322 C 3.8 322 C 3. 322 F 0 0 F 0 0
53 B 1.2 210 B 1.2 210 B 1.8 210 B 1.8 210 B 1.8 210 C 4.7 257 C 4.8 257 C 4.2 257 C 3.2 257 C 2.7 257 C 1.9 257 F 0 0 F 0 0
54 A 0.7 191 A 0.7 191 A 1.1 191 A 1.1 191 A 1.1 191 C 8.3 369 C 9.3 369 C 8.4 369 C 6.3 369 C 5.6 369 C 3.5 374 F 0 0 F 0 0
55 A 0.6 69 A 0.6 69 A 0.2 69 A 0.2 69 A 0.2 69 A 0.3 69 A 0.3 69 A 0.3 69 A 0.3 69 A 0.6 69 A 0.5 69 A 0.5 69 A 0.6 69
56 B 0.1 87 B 0.1 87 B 0.1 87 B 0.1 87 B 0.1 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
57 C 7.4 405 C 7.4 405 C 7.2 405 C 7.1 405 C 8. 405 C 10.6 289 C 10.7 289 C 10.1 289 C 8.6 289 C 7.7 289 C 5.4 289 F 0 0 F 0 0
58 C 16.3 2068 C 16.3 2068 C 21.6 2068 C 21.7 2068 C 21.5 2068 C 27.2 2068 C 19.5 214 C 16.3 214 C 16.2 214 C 14.5 200 C 11.4 200 C 11.5 200 F 0 0
59 A 3. 167 A 3. 167 A 3. 167 A 2.8 167 A 2.9 167 A 4.5 167 A 4.8 167 A 4.7 167 A 4.7 167 A 3.8 167 A 3.2 167 A 3.4 167 A 3.4 167
60 C 17.5 1204 C 17.7 1204 C 10.9 1156 C 10.7 1156 C 10.8 1156 C 14.5 1156 C 15.5 1156 C 14.1 1156 C 13.2 1156 F 0 0 C 10.4 1156 F 0 0 F 0 0
61 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
62 A 4.9 78 A 4.9 78 B 6.1 215 B 6.1 215 B 6.1 215 A 2.4 78 A 2.6 78 A 2.4 78 A 2. 78 A 1.8 78 A 1.3 78 A 1.4 78 A 1.2 78
63 C 14.4 1927 C 14.5 1927 C 17.1 1927 C 17.1 1927 C 16.8 1927 C 20.6 1927 C 12.4 192 C 11.4 192 C 11.2 192 C 8.7 192 C 6.6 192 C 6.9 192 F 0 0
64 B 0. 37 B 0. 37 B 0. 37 B 0. 37 B 0. 37 B 0.1 47 B 0.1 47 B 0.1 47 B 0.1 47 B 0.1 47 B 0. 47 B 0. 47 B 0. 47
65 B 15.2 1392 B 15.1 1392 B 17.9 1989 B 17.5 1989 B 17.4 1989 B 19.4 1989 A 4.7 213 A 4.1 217 A 3.9 217 A 3.6 217 A 2.7 217 F 0 0 F 0 0
66 B 15.5 1997 B 15.4 1997 B 17.9 1997 B 17.7 1997 B 17.5 1997 B 21.3 1997 A 6.4 217 A 6. 220 A 8.2 220 A 3.9 220 A 3. 220 F 0 0 F 0 0
67 A 0.1 43 A 0.1 43 A 0.1 43 A 0.1 43 A 0.1 43 A 0.1 45 A 0.1 45 A 0. 45 A 0. 45 A 0. 45 A 0. 45 A 0. 45 A 0. 45
68 A 0. 58 A 0. 73 A 0.2 64 A 0.2 64 A 0.2 64 A 0. 58 A 0.1 58 A 0. 58 A 0. 58 A 0. 58 A 0. 58 A 0. 58 A 0. 58
69 C 0.1 43 C 0.1 43 C 0. 43 C 0. 43 C 0. 43 A 0. 29 A 0. 29 A 0. 29 A 0. 29 A 0. 29 A 0. 29 A 0. 29 A 0. 29
70 A 0.2 107 A 0.2 107 A 0.3 107 A 0.3 107 A 0.3 107 A 0.9 106 A 1. 106 A 0.9 106 A 0.9 106 A 1. 149 A 0.7 149 A 0.8 149 A 0.8 149
71 A 0.4 41 A 0.4 41 B 0.4 106 B 0.4 106 B 0.4 106 B 0.5 106 B 0.5 106 B 0.4 106 B 0.4 106 B 0.8 132 B 0.6 132 B 0.7 132 B 0.5 132
72 C 2.9 390 C 2.9 390 C 3.9 390 C 3.6 390 C 3.9 390 C 6.3 390 C 6.6 390 C 6.1 390 C 5.5 390 C 6.5 251 C 5.7 252 C 6.2 252 C 6.3 258
73 A 0.3 109 A 0.3 109 A 0.5 109 A 0.5 109 A 0.6 109 A 1.5 137 A 1.6 137 A 1.5 137 A 1.4 137 A 1.3 137 A 0.9 137 A 0.9 137 A 0.8 137
74 A 0.6 81 A 0.6 81 A 0.8 81 A 0.8 81 A 0.8 81 A 1.1 81 A 1.1 81 A 1. 81 A 0.9 81 A 0.9 81 A 0.6 81 A 0.7 81 A 0.5 81
75 A 0.3 112 A 0.3 112 A 0.4 112 A 0.4 112 A 0.4 112 A 1.7 137 A 1.9 137 A 1.7 138 A 1.5 138 A 1.5 138 A 1.1 138 A 1.2 138 A 1. 138
76 C 4. 286 C 4. 286 C 5.3 286 C 4.9 286 C 5. 286 C 6.9 593 C 6.9 593 C 6.9 593 C 6.9 593 C 6.6 286 C 6.5 587 C 6.6 587 C 6.5 587
77 C 8.2 3028 C 8.3 3028 C 7.6 3028 C 7.4 3028 C 7.4 3028 C 8. 3028 C 8. 3028 C 7.9 3028 C 8. 3028 C 7.8 11775 C 7.3 3034 C 7.4 3034 C 7.4 3034
78 A 1.3 131 A 1.4 131 A 1.8 131 A 1.6 131 A 1.8 131 A 2.5 131 A 2.8 131 A 2.5 131 A 2.3 131 A 2.3 131 A 1.6 131 A 1.8 131 A 1.4 131
79 A 0.8 158 A 0.8 158 A 1.1 158 A 1.1 158 A 1.2 158 C 5.3 253 C 5.7 253 C 5.1 273 A 3.5 173 A 3.3 173 A 2.7 173 A 3. 173 A 2.7 173
80 C 3.9 527 C 4. 527 C 6.4 527 C 6. 527 C 6.6 527 C 12.1 527 C 12.1 527 C 11.1 527 C 9. 527 C 6.6 527 C 5.6 549 F 0 0 F 0 0
81 C 1.3 284 C 1.3 284 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
82 C 3.9 703 C 4. 703 C 7.2 703 C 6.7 703 C 8.1 703 C 14.5 703 C 14.3 703 C 12.9 703 C 9.4 703 C 7.6 703 C 4.7 510 F 0 0 F 0 0
83 C 4. 410 C 3.9 410 C 6.8 410 C 6.4 410 C 8.2 410 C 14.6 410 C 14.8 410 C 14.4 410 C 9.2 410 C 7.8 410 C 6.5 412 F 0 0 F 0 0
84 A 0.1 33 A 0.1 33 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
85 C 1.7 294 C 1.7 294 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
86 C 1.5 296 C 1.4 296 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
87 A 0.2 127 A 0.2 127 A 0.3 127 A 0.3 127 A 0.4 127 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 C 7.9 521 C 8.1 521 C 10.9 613 C 10.6 613 C 11. 613 C 14.7 613 C 14.9 613 C 14.2 613 C 13.2 613 C 11.9 613 C 10.3 618 F 0 0 F 0 0
89 B 4.3 409 B 4.4 409 B 6.8 409 B 6.5 409 B 6.7 409 C 28.4 899 C 28.1 899 C 29.4 1391 C 23.7 1765 C 20.9 1180 C 16.8 1777 F 0 0 F 0 0
90 A 4.4 247 A 4.5 247 A 8.2 247 A 7.9 247 A 8.2 247 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 A 0.2 61 A 0.2 61 A 0.3 61 A 0.3 61 A 0.3 61 A 3.3 84 A 3.2 84 A 2.8 84 A 4. 84 C 0.6 95 C 0.4 95 C 3.5 191 C 2.2 93
92 B 15.3 2465 B 15.2 2465 B 17.2 2465 B 17. 2465 B 17.4 2465 B 20.1 2465 B 9.7 272 B 6.9 272 B 7.5 272 A 0.5 105 A 0.4 105 B 3.6 217 A 1.9 103
93 A 4.1 162 A 4.2 162 A 5.2 162 A 4.3 171 A 5.2 171 A 6.1 171 A 6.5 171 A 6.1 171 A 5.9 171 A 4.5 171 A 3.3 171 A 3.2 171 A 2.5 171
94 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
95 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