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2.180 7_Inverse_hyperbolic_functions\7.1bInversehyperboliccosine\7.1.4a(fx)^m(d-c^2dx^2)^p(a+barccosh(cx))^n

Table 182: Breakdown of results for each integral
14.1
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 grade cpu size
1 A 0.1 166 A 0.1 166 A 0.1 166 A 0.1 166 A 0.1 166 A 0.1 166 A 0.2 178 A 0.2 178 A 0.2 178 A 0.2 178 A 0.3 178 A 0.1 180 A 0.1 178 A 0.2 145
2 A 0.1 89 A 0.1 89 A 0.1 89 A 0.1 89 A 0.1 89 A 0.1 89 A 0.2 89 A 0.2 89 A 0.2 89 A 0.2 89 A 0.2 89 A 0.1 89 A 0.1 89 A 0.1 108
3 B 0.3 226 A 0.1 71 A 0.1 71 A 0.1 71 A 0.1 71 A 0.1 71 A 0.2 71 A 0.2 71 A 0.2 71 A 0.1 71 A 0.1 71 A 0.1 71 A 0.1 71 A 0.1 81
4 A 0.1 107 A 0.1 107 A 0.1 107 A 0.1 107 A 0.1 107 A 0.1 107 A 0.2 107 A 0.1 107 A 0.1 107 A 0.1 107 A 0.2 107 A 0.1 107 C 0.1 119 C 0.2 127
5 A 0.1 194 A 0.1 194 A 0.1 194 A 0.2 194 A 0.2 194 A 0.2 194 A 0.4 141 A 0.4 141 A 0.3 141 A 0.3 141 A 0.3 141 A 0.2 143 A 0.2 141 A 0.3 180
6 B 9.5 1019 A 0.5 303 A 0.6 303 A 0.4 226 A 0.4 226 A 0.4 226 A 0.5 224 A 0.4 224 A 0.4 224 A 0.3 224 A 0.3 224 A 0.2 224 A 0.2 224 A 0.2 224
7 A 0.3 142 A 0.2 142 A 0.2 142 A 0.3 142 A 0.3 142 A 0.3 142 A 0.4 142 A 0.4 142 A 0.5 142 A 0.4 142 A 0.3 142 A 0.3 153 A 0.2 153 A 0.3 167
8 A 0.2 151 A 0.2 151 A 0.2 151 A 0.3 151 A 0.3 151 A 0.3 151 A 0.3 164 A 0.3 164 A 0.3 164 A 0.2 164 A 0.2 164 A 0.1 163 A 0.1 163 A 0.1 163
9 A 0. 64 A 0. 64 A 0. 64 A 0.1 64 A 0.1 64 A 0.1 64 A 0.1 95 A 0.1 95 A 0. 95 A 0. 95 A 0. 95 A 0. 94 C 0. 159 C 0. 137
10 A 0.3 212 A 0.3 212 A 0.3 212 B 2.6 309 B 2.5 309 A 0.2 212 A 0.4 205 A 0.3 205 A 0.3 205 A 0.2 205 A 0.2 205 A 0.2 204 A 0.1 204 A 0.1 229
11 A 0.2 223 A 0.2 223 A 0.2 223 A 0.4 223 A 0.3 223 A 0.4 223 A 0.3 216 A 0.2 216 A 0.2 216 A 0.2 216 A 0.2 216 A 0.1 226 A 0.1 226 A 0.1 228
12 A 0.6 283 A 0.6 283 A 0.6 283 A 0.8 283 A 0.9 283 A 0.9 283 A 0.9 266 A 0.8 266 A 2. 243 A 1.2 243 A 0.9 243 A 1. 254 A 0.5 277 A 1. 239
13 A 1.1 287 A 1.1 287 A 1.2 287 A 1.7 287 A 1.9 287 A 2.2 287 A 2.7 295 A 2.2 295 A 2.4 294 A 2.9 294 A 1.8 294 A 1.6 293 A 1.7 296 C 0.2 374
14 A 0. 77 A 0. 77 A 0. 77 A 0.1 77 A 0.1 77 A 0. 77 A 0.1 64 A 0.1 64 A 0.1 64 A 0.1 64 A 0.1 64 A 0.1 64 C 0. 123 C 0. 123
15 A 0.4 144 A 0.4 144 A 0.4 144 A 0.6 144 A 0.6 144 A 0.6 144 A 1. 144 A 0.9 144 A 0.8 144 A 0.8 144 A 0.7 144 A 0.5 144 A 0.6 144 C 0.5 140
16 A 0.1 88 A 0.1 88 A 0.1 88 A 0.1 88 A 0.1 88 A 0.1 88 A 0.6 171 A 0.6 171 A 0.5 171 A 0.4 215 A 0.5 215 A 0.3 173 A 0.2 173 F 0 0
17 A 0.2 146 A 0.1 146 A 0.2 146 A 0.3 146 A 0.3 146 A 0.3 146 A 0.5 261 A 0.5 261 A 0.5 261 A 0.3 304 A 0.3 304 A 0.2 262 A 0.2 262 F 0 0
18 A 0.2 154 A 0.2 154 A 0.2 154 A 0.3 154 A 0.3 154 A 0.3 154 A 0.6 301 A 0.6 301 A 0.6 301 A 0.4 344 A 0.4 344 A 0.5 215 A 0.3 302 F 0 0
19 A 0.2 209 A 0.2 209 A 0.2 209 A 0.2 182 A 0.2 182 A 0.2 182 A 0.4 184 A 0.4 184 A 0.4 184 A 0.3 184 A 0.3 184 A 0.2 184 A 0.2 184 A 0.2 185
20 A 0.2 153 A 0.2 153 A 0.2 153 A 0.2 164 A 0.2 164 A 0.2 164 A 0.4 160 A 0.4 160 A 0.3 160 A 0.3 160 A 0.2 160 A 0.2 160 A 0.2 160 A 0.2 161
21 A 0.9 574 A 1. 574 A 1.1 574 A 1.3 574 A 1.2 574 A 1.2 574 A 1.9 574 A 1.4 574 A 4. 533 A 2.5 533 A 2. 533 A 1.7 546 A 1.9 530 A 0.8 540
22 A 0.2 117 A 0.2 117 A 0.2 117 A 0.3 117 A 0.2 117 A 0.2 117 A 0.3 117 A 0.3 117 A 0.2 117 A 0.2 117 A 0.2 117 A 0.1 117 A 0.2 117 A 0.1 118
23 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0. 53 A 0.4 96 A 0.4 96 A 0.4 96 A 0.3 96 A 0.3 96 A 0.2 96 A 0.2 97 C 0.2 93
24 A 0.1 145 A 0.1 145 A 0.1 145 A 0.1 145 A 0.1 145 A 0.1 145 A 0.4 173 A 0.4 173 A 0.4 173 A 0.4 173 A 0.3 173 A 0.3 219 A 0.3 219 F 0 0
25 A 1.1 192 A 1.1 192 A 1.2 192 A 1.5 192 A 1.5 192 A 6.6 192 A 2.7 192 A 2.7 192 A 2.8 202 A 2.5 202 A 1.9 202 A 1.5 202 A 1.7 202 C 1.9 198
26 A 0.1 114 A 0.1 114 A 0.1 114 A 0.1 114 A 0.1 114 A 0.1 114 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 A 0.5 136 A 0.5 136 F 0 0
27 A 0.3 93 A 0.3 93 A 0.3 93 A 0.3 93 A 0.3 93 A 0.3 93 A 0.4 93 A 0.4 93 A 0.4 93 A 0.3 93 A 0.3 93 A 0.2 93 A 0.2 93 A 0.2 93
28 A 0. 45 A 0. 45 A 0. 45 A 0. 45 A 0. 45 A 0. 45 A 0.1 51 A 0.1 51 A 0.1 51 A 0.1 51 A 0.1 51 A 0. 51 A 0. 51 A 0. 51
29 A 0.2 234 A 0.2 234 A 0.2 234 A 0.3 234 A 0.3 234 A 0.3 234 A 0.4 234 A 0.4 234 A 0.3 234 A 0.3 234 A 0.3 234 A 0.2 234 A 0.2 234 A 0.2 234
30 A 0.3 289 A 0.3 289 A 0.3 289 A 0.5 289 A 0.5 289 A 0.5 289 C 18.4 2099 C 1.6 592 C 2.4 604 C 1.9 604 F 0 0 C 7.9 1453 C 7.9 1453 C 1.2 604
31 A 0.5 273 A 0.5 273 A 0.5 273 A 0.8 273 A 0.8 273 A 0.8 273 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 0.2 222 A 0.2 222 A 0.2 222 A 0.3 222 A 0.3 222 A 0.3 222 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 0.2 215 A 0.2 215 A 0.2 215 A 0.3 215 A 0.2 215 A 0.3 215 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0
34 A 0.5 318 A 0.4 318 A 0.4 318 A 0.8 318 A 0.8 318 A 0.8 318 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0
35 A 0.2 101 A 0.2 101 A 0.2 101 A 0.3 101 A 0.3 101 A 0.3 101 A 0.2 101 A 0.2 101 A 0.1 101 A 0.1 101 A 0.1 101 A 0.1 101 A 0.1 101 A 0.2 120
36 A 0.4 237 A 0.4 237 A 0.4 237 A 0.5 237 A 0.5 237 A 0.5 237 A 0.5 237 A 0.5 237 A 0.4 237 A 0.4 237 A 0.4 237 A 0.3 237 A 0.3 237 A 0.3 267
37 A 0.4 262 A 0.4 262 A 0.4 262 A 0.5 262 A 0.5 262 A 0.6 262 A 0.7 262 A 0.7 262 A 0.6 262 A 0.5 262 A 0.5 262 A 0.3 262 A 0.3 262 A 0.4 281
38 A 4.9 554 A 5. 554 A 5.1 554 A 6.2 554 A 6.1 554 A 6.7 554 A 7.1 665 A 6.9 665 A 6.9 665 A 6.9 665 A 6.8 665 A 6.6 665 A 6.6 663 C 6.5 660
39 A 2.5 803 A 2.6 803 A 2.8 803 A 3.4 803 A 3.4 803 A 5.5 803 A 6.9 803 A 7.1 803 A 6.9 803 A 3.7 803 A 3. 803 A 2.5 803 A 2.7 804 C 2.6 800
40 A 0. 53 A 0. 53 A 0. 53 A 0.1 53 A 0.1 53 A 0. 53 B 0.5 147 B 0.5 147 B 0.4 156 B 0.3 156 B 0.3 156 B 0.2 156 B 0.2 155 C 0.2 152
41 A 2.8 392 A 2.9 392 A 3. 392 A 3.9 358 A 3.9 358 A 3.8 358 A 6.9 392 A 4.7 392 A 6.7 466 A 6.7 466 A 4.4 393 A 4.3 397 A 3.4 359 A 3.9 393
42 A 2.7 613 A 2.9 613 A 3. 613 A 3.9 577 A 3.9 577 A 4.6 577 A 7.1 623 A 6.7 623 A 6.7 623 A 6.2 613 A 2.5 612 A 2.3 625 A 1.9 576 A 2.2 609
43 A 4.3 490 A 4.3 490 A 4.3 490 A 5.8 437 A 5.8 437 A 7.1 437 A 7.9 568 A 7.5 568 A 7.5 568 A 7.4 568 A 7.2 568 A 7. 568 A 6.4 407 A 6.8 460
44 A 3.7 356 A 3.6 356 A 3.6 356 A 4.7 341 A 4.6 341 A 4.9 341 A 7.7 459 A 7.2 459 A 7.2 459 A 7.2 459 A 6.2 327 A 5.6 327 A 4.4 319 A 4.9 332
45 A 1.8 264 A 1.8 264 A 1.9 264 A 1.8 264 A 1.7 264 A 1.7 264 A 2.5 264 A 2. 264 A 1.8 264 A 2.1 264 A 2.6 284 A 2.2 284 A 1.1 292 A 1. 292
46 A 9.3 818 A 9.5 818 A 9.6 818 A 10.6 806 A 10.2 806 A 11.2 806 A 14.1 1089 A 11.6 818 A 10.7 818 A 10.8 818 A 9.4 814 A 9.3 826 A 7.9 736 A 8.1 758
47 B 41.8 5532 B 62.3 5532 B 63.3 5532 A 99.4 1181 A 98.1 1181 A 99.5 1205 B 110.4 5572 B 107. 5572 B 105.8 5652 B 84.7 5532 F 0 0 F 0 0 F 0 0 F 0 0
48 A 0.1 123 A 0.1 123 A 0.1 123 A 0.2 123 A 0.2 123 A 0.2 123 A 0.2 123 A 0.2 123 A 0.2 123 A 0.2 123 A 0.1 123 A 0.1 98 A 0.1 98 A 0.1 91
49 A 0.2 151 A 0.2 151 A 0.2 151 A 0.2 151 A 0.2 151 A 0.2 151 A 0.3 151 A 0.2 151 A 0.2 151 A 0.2 151 A 0.2 151 A 0.1 151 A 0.1 151 A 0.1 151
50 A 0.3 111 A 0.4 111 A 0.4 111 A 0.5 111 A 0.5 111 A 0.5 111 A 0.8 111 A 0.6 111 A 0.5 111 A 0.5 111 A 0.4 111 A 0.3 111 A 0.3 111 A 0.3 111
51 A 0.6 233 A 0.7 233 A 0.7 233 A 1. 233 A 1. 233 A 1. 233 A 1.7 233 A 1.3 233 A 1.1 233 A 1.2 233 F 0 0 F 0 0 F 0 0 F 0 0
52 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 F 0 0
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 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0
54 C 1.2 363 C 1.3 363 C 1.6 375 C 1.9 363 C 1.8 363 C 1.8 363 C 2.9 363 C 2. 363 C 1.9 363 C 1.9 363 C 1.7 419 C 1.5 419 C 1.5 419 C 1.5 419
55 A 0.3 137 A 0.4 137 A 0.4 137 A 0.6 137 A 0.5 137 A 0.6 137 A 1. 137 A 0.8 137 A 0.6 137 A 0.6 137 A 0.4 137 A 0.2 137 A 0.2 137 A 0.2 137
56 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 F 0 0
57 A 0.3 127 A 0.3 127 A 0.3 127 A 0.4 127 A 0.3 127 A 0.3 127 A 0.4 127 A 0.4 127 A 0.4 127 A 0.3 127 A 0.3 127 A 0.3 127 A 0.2 127 A 0.2 127
58 A 0.6 188 A 0.6 188 A 0.6 188 A 0.8 188 A 0.7 188 A 0.8 188 A 1. 188 A 0.9 188 A 0.9 188 A 0.8 188 A 0.7 188 A 0.6 188 A 0.6 188 A 0.5 188
59 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 F 0 0
60 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 F 0 0
61 A 0.9 216 A 0.9 216 A 1. 216 A 1.4 216 A 1.3 216 A 1.4 216 A 2. 216 A 1.8 216 A 1.7 216 A 1.5 216 A 1.4 216 A 1.2 216 A 1.1 216 A 1. 216
62 A 0.8 216 A 0.9 216 A 0.9 216 A 1.2 216 A 1.1 216 A 1.1 216 A 1.5 216 A 1.4 216 A 1.3 216 A 1.2 216 A 1.1 216 A 1. 216 A 0.9 216 A 0.9 216
63 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 F 0 0
64 A 0.1 69 A 0.1 69 A 0.1 69 A 0.1 69 A 0.1 69 A 0.1 69 A 0.1 69 A 0.1 69 A 0.1 69 A 0.1 69 A 0.1 69 A 0.1 69 A 0.1 69 A 0.1 69
65 A 0. 47 A 0.1 47 A 0.1 47 A 0.1 47 A 0.1 47 A 0.1 47 A 0.1 47 A 0.1 47 A 0.1 47 A 0.1 47 A 0.1 47 A 0. 47 A 0. 47 A 0. 47
66 A 0.6 174 A 0.7 174 A 0.7 174 A 0.5 174 A 0.4 174 A 0.5 174 A 0.6 174 A 0.5 174 A 0.5 174 A 0.4 174 A 0.4 174 A 0.3 174 A 0.4 174 A 0.3 174
67 A 0.2 81 A 0.3 81 A 0.3 81 A 0.2 81 A 0.2 81 A 0.2 81 A 0.2 81 A 0.2 81 A 0.2 81 A 0.2 81 A 0.2 81 A 0.1 81 A 0.1 81 A 0.1 81
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 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 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 F 0 0
71 B 0.3 194 B 0.3 194 B 0.3 194 B 0.4 194 A 0.5 84 A 0.5 84 A 0.8 84 A 0.8 84 A 0.6 125 A 0.6 125 A 0.6 125 A 0.4 125 A 0.4 125 B 1.2 398
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 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0
73 A 1. 436 A 1.1 436 A 1.1 436 A 1.5 436 A 1.4 436 A 1.5 436 A 1.9 436 A 1.7 436 A 1.6 436 A 1.4 436 A 1.3 436 A 1.5 436 A 1.2 436 A 3.3 446
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 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 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 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0
77 A 0.3 144 A 0.3 144 A 0.3 144 A 0.5 144 A 0.5 144 A 0.6 144 A 0.8 144 A 0.7 144 A 0.7 144 A 0.5 144 A 0.5 144 A 0.5 144 A 0.7 146 A 0.5 151
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 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0
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 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0
80 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 F 0 0
81 A 0. 45 A 0. 45 A 0. 45 A 0. 45 A 0. 45 A 0. 45 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. 51
82 A 0.6 214 A 0.5 214 A 0.5 214 A 0.7 214 A 0.8 214 A 0.7 214 A 1.5 224 A 1.1 224 A 1. 224 A 0.9 224 A 0.8 224 A 0.8 224 A 0.8 224 A 0.7 224
83 A 0.1 93 A 0.1 93 A 0.1 93 A 0.1 93 A 0.2 93 A 0.1 93 A 0.2 90 A 0.2 90 A 0.1 90 A 0.1 90 A 0.1 90 A 0.1 90 A 0.1 90 A 0.1 90
84 A 1.2 384 A 1.1 384 A 1.1 384 A 1.6 384 A 1.6 384 A 1.6 384 A 11.1 612 A 10.8 612 A 7.9 612 A 7.4 612 F 0 0 F 0 0 F 0 0 F 0 0
85 F 0 0 F 0 0 F 0 0 A 4.3 331 A 4.1 331 A 5.2 331 A 6.7 360 A 6.5 360 A 4.4 360 A 4.3 360 F 0 0 F 0 0 F 0 0 F 0 0
86 F 0 0 F 0 0 F 0 0 A 7.4 508 A 7. 508 A 8.8 733 A 19.2 585 A 17.7 585 A 12.9 585 A 10.9 585 F 0 0 F 0 0 F 0 0 F 0 0
87 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0.1 56 A 0.1 56 A 0.1 56 A 0.1 56 A 0.1 56 A 0.1 56 A 0.1 56 A 0.1 56
88 A 0.1 72 A 0.1 72 A 0.1 72 A 0.1 72 A 0.1 72 A 0.1 72 A 0.1 49 A 0.1 49 A 0.1 49 A 0.1 49 A 0.1 49 A 0.1 49 F 0 0 F 0 0
89 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 F 0 0
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 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0
91 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 F 0 0

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