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2.176 7_Inverse_hyperbolic_functions\7.1aInversehyperbolicsine\7.1.4a(fx)^m(d+c^2dx^2)^p(a+barcsinh(cx))^n

Table 178: 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. 88 A 0. 88 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 0.1 88 A 0.1 88 A 0.1 88 A 0.1 88 A 0.1 88
2 A 0.1 78 A 0.1 78 A 0.1 78 A 0.1 78 A 0.1 78 A 0.1 78 A 0.1 78 A 0.1 84 A 0.1 84 A 0.1 84 A 0.1 84 A 0.1 84 A 0.1 84
3 A 0. 86 A 0. 86 A 0.1 86 A 0. 86 A 0. 86 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
4 A 0. 111 A 0. 111 A 0.1 111 A 0.1 111 A 0.1 111 A 0.2 101 A 0.2 101 A 0.2 101 A 0.1 101 A 0.1 101 A 0.1 101 C 0.1 110 C 0.1 110
5 A 0.1 115 A 0.1 115 A 0.1 115 A 0.1 115 A 0.1 115 A 0.2 115 A 0.2 115 A 0.1 115 A 0.1 115 A 0.1 115 A 0.1 115 A 0.1 115 A 0.1 115
6 A 0.1 244 A 0.1 244 A 0.5 184 A 0.5 184 A 0.6 184 A 0.3 192 A 0.3 192 A 0.3 192 A 0.2 192 A 0.2 192 A 0.2 192 A 0.2 192 A 0.1 192
7 A 0.1 171 A 0.1 171 A 0.2 171 A 0.2 171 A 0.2 171 A 0.2 171 A 0.2 171 A 0.2 171 A 0.2 171 A 0.1 171 A 0.1 182 A 0.1 171 A 0.1 171
8 A 0.1 181 A 0.1 181 A 0.2 181 A 0.2 181 A 0.2 181 C 0.4 286 C 0.3 286 C 0.3 286 C 0.2 286 C 0.2 286 C 0.2 286 C 0.3 286 C 0.2 286
9 A 0.1 135 A 0.1 135 A 0.1 135 A 0.1 135 A 0.1 135 B 0.1 189 B 0.1 189 B 0.1 189 B 0.1 189 B 0.1 189 B 0.1 189 B 0. 259 B 0. 253
10 B 0.2 240 B 0.2 240 B 0.3 240 B 0.3 240 B 0.3 240 C 1. 344 C 0.7 344 C 0.7 344 C 0.6 344 C 0.5 344 C 0.4 344 C 0.5 344 C 0.4 344
11 A 0.1 247 A 0.1 247 A 0.2 247 A 0.2 247 A 0.2 247 B 0.3 337 B 0.3 337 B 0.2 337 B 0.2 337 B 0.2 337 B 0.2 382 B 0.2 337 B 0.1 337
12 C 0.4 253 C 0.4 253 C 0.6 253 C 0.6 253 C 0.7 253 B 2.4 348 B 1.9 348 B 1.7 348 B 1. 348 B 0.8 348 B 0.8 352 B 0.8 348 A 1. 336
13 A 0.3 340 A 0.3 340 A 0.5 340 A 0.4 340 A 0.4 340 A 1.6 362 A 1.3 362 B 5.2 436 B 1.5 436 B 1.3 436 B 1.1 436 B 1.2 436 B 1. 430
14 A 0.1 120 A 0.1 120 A 0.1 120 A 0.1 120 A 0.1 120 A 0.1 120 A 0.1 120 A 0.1 120 A 0.1 120 A 0.1 120 A 0.1 120 A 0.1 120 A 0.1 120
15 A 0.3 129 A 0.3 129 A 0.4 129 A 0.3 129 A 0.4 129 A 0.6 129 A 0.5 129 A 0.5 129 A 0.4 129 A 0.4 115 A 0.3 117 A 0.3 116 A 0.3 117
16 A 0.3 117 A 0.3 117 A 0.2 131 A 0.2 131 A 0.2 131 A 0.2 131 A 0.2 131 A 0.2 131 A 0.2 119 A 0.1 131 A 0.2 119 A 0.1 120 F 0 0
17 A 0.6 251 A 0.6 251 A 0.8 251 A 0.7 251 A 0.8 251 A 1.2 251 A 1.2 251 A 2.8 236 A 1.9 236 A 1.7 236 A 1.3 238 A 1. 236 A 0.9 236
18 A 0.9 286 A 1. 286 A 1.1 287 A 1. 287 A 1.1 287 A 1.7 286 A 1.6 286 A 3.1 283 A 2.2 283 A 1.9 272 A 1.5 274 A 1.2 272 A 1.2 272
19 A 0.2 119 A 0.2 119 A 0.2 119 A 0.2 119 A 0.2 119 A 0.2 119 A 0.2 119 A 0.2 119 A 0.2 119 A 0.2 119 A 0.1 119 A 0.1 119 A 0.1 119
20 A 0.6 151 A 0.6 151 A 0.6 151 A 0.6 151 A 0.6 151 A 1. 151 A 1. 151 A 0.9 151 A 0.9 151 A 0.8 151 A 0.6 153 A 0.5 151 A 0.5 151
21 A 0.3 129 A 0.3 129 A 0.4 129 A 0.4 129 A 0.4 129 A 0.6 129 A 0.5 129 A 0.5 129 A 0.4 129 A 0.4 129 A 0.3 138 A 0.2 128 A 0.2 124
22 A 5.5 369 A 5.6 369 A 6.4 381 A 6.4 381 A 6.4 381 A 6.6 381 A 6.4 381 A 6.4 381 A 6.4 381 A 6.3 381 A 6.2 396 A 6.3 379 A 5.4 366
23 A 0.6 227 A 0.7 227 A 0.4 227 A 0.3 227 A 0.4 227 A 0.5 227 A 0.4 227 A 0.4 227 A 0.4 227 A 0.4 227 A 0.3 227 A 0.3 227 F 0 0
24 A 0. 48 A 0. 48 A 0.1 48 A 0. 48 A 0. 48 A 0.1 48 A 0.1 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48
25 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 A 0. 42 A 0. 42
26 A 0.3 257 A 0.3 257 A 0.5 257 A 0.5 257 A 0.6 257 A 3.1 503 A 2.8 503 A 2.3 487 A 1.6 487 A 1.3 487 A 1.1 483 A 1.2 483 A 0.7 483
27 A 0.2 177 A 0.2 177 A 0.3 177 A 0.2 177 A 0.3 177 A 0.3 177 A 0.3 177 A 0.3 177 A 0.3 177 A 0.2 177 A 0.2 177 A 0.2 177 A 0.1 177
28 A 0.3 192 A 0.3 192 A 0.5 192 A 0.5 192 A 0.5 192 A 0.8 199 A 0.6 199 A 0.6 199 A 0.5 199 A 0.4 199 A 0.3 201 C 0.2 240 C 0.2 240
29 A 0.2 251 A 0.2 251 A 0.4 251 A 0.4 251 A 0.4 251 A 0.5 251 A 0.5 251 A 0.4 251 A 0.4 251 A 0.3 251 A 0.3 251 A 0.3 251 A 0.2 251
30 A 0.9 191 A 0.9 191 A 0.5 191 A 0.4 191 A 0.5 191 A 0.3 191 A 0.3 191 A 0.3 191 A 0.2 191 A 0.2 191 A 0.2 191 A 0.2 191 A 0.1 191
31 A 0.3 285 A 0.3 285 A 0.5 285 A 0.5 285 A 0.5 285 A 0.6 285 A 0.6 285 A 0.5 285 A 0.5 285 A 0.4 285 A 0.3 285 A 0.3 285 A 0.3 285
32 A 1.3 275 A 1.3 275 A 0.5 275 A 0.5 275 A 0.5 275 A 0.5 275 A 0.5 275 A 0.4 275 A 0.4 275 A 0.3 275 A 0.3 275 A 0.2 275 A 0.2 275
33 A 1.2 239 A 1.2 239 A 0.6 239 A 0.6 239 A 0.6 239 A 0.4 239 A 0.4 239 A 0.3 239 A 0.3 239 A 0.3 239 A 0.2 239 A 0.2 239 A 0.2 239
34 A 0.7 419 A 0.7 419 A 0.7 416 A 0.7 416 A 0.7 416 C 0.9 426 C 0.8 426 C 0.7 426 C 0.7 426 C 0.7 426 C 0.5 426 C 0.4 426 C 0.3 426
35 A 0.8 461 A 0.8 461 A 1.2 461 A 1.2 461 A 1.2 461 A 1.7 477 A 1.3 477 A 1.2 477 A 1.2 477 A 1. 477 A 0.8 507 A 2.4 640 A 2.2 640
36 A 0.2 274 A 0.2 274 A 0.3 274 A 0.3 274 A 0.3 274 B 0.5 309 B 0.3 309 B 0.3 309 B 0.3 309 B 0.2 309 B 0.2 309 B 0.2 385 B 0.2 379
37 A 0.5 145 A 0.5 145 A 0.3 145 A 0.2 145 A 0.2 145 A 0.2 145 A 0.2 145 A 0.2 145 A 0.2 145 A 0.1 145 A 0.1 145 A 0.1 145 A 0.1 145
38 C 7.6 688 C 7.7 701 C 9.6 759 C 9.6 759 C 10.2 759 C 12.1 1100 C 11.8 872 C 10.2 872 C 9.8 872 C 7.6 883 C 7.7 883 C 6.1 1109 C 6.1 1107
39 A 0.3 222 A 0.3 222 A 0.3 222 A 0.3 222 A 0.3 222 A 0.4 222 A 0.4 222 A 0.3 222 A 0.3 222 A 0.2 222 A 0.2 222 A 0.2 222 A 0.2 222
40 A 2. 508 A 2. 508 A 1.4 508 A 1.3 508 A 1.6 508 A 2.2 508 A 2.1 508 A 2. 508 A 1.7 508 A 1.4 508 A 1.1 510 A 1. 497 A 0.9 497
41 A 7.7 771 A 7.8 771 A 8. 771 A 8. 771 A 8.1 771 A 9.8 771 A 8.1 771 A 8.2 771 A 8.1 771 A 6.9 767 A 6.7 782 A 6.8 765 A 6.7 775
42 A 3.4 757 A 3.5 757 A 4.8 710 A 4.6 710 A 5.5 710 A 7. 851 A 6.8 851 A 6.6 770 A 5.7 770 A 4.5 770 A 3.8 797 A 3. 787 A 3.3 763
43 A 0.1 98 A 0.1 98 A 0.1 98 A 0.1 98 A 0.1 98 A 0.1 98 A 0.1 98 A 0.1 98 A 0.1 98 A 0.1 98 A 0.1 98 A 0.1 98 A 0. 98
44 A 0. 72 A 0. 72 A 0.1 72 A 0. 72 A 0. 72 A 0.1 72 A 0.1 72 A 0.1 72 A 0. 72 A 0. 72 A 0. 72 A 0. 72 A 0. 72
45 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48 A 0. 48
46 A 0.3 65 A 0.3 65 A 0.4 65 A 0.3 65 A 0.3 65 A 0.5 65 A 0.4 65 A 0.4 65 A 0.4 65 A 0.3 65 A 0.2 65 A 0.2 65 A 0.2 65
47 A 0.3 230 A 0.3 230 A 0.4 230 A 0.4 230 A 0.5 230 A 0.6 230 A 0.6 230 A 0.5 230 A 0.4 230 A 0.3 230 A 0.3 230 A 0.3 230 A 0.2 230
48 A 1.1 198 A 1.1 198 A 1. 198 A 0.9 198 A 1. 198 A 1.4 198 A 1.4 198 A 2.1 198 A 1.7 198 A 1.5 198 A 1.1 200 A 0.8 198 A 0.9 198
49 A 0.6 168 A 0.7 168 A 0.5 168 A 0.5 168 A 0.5 168 A 0.6 168 A 0.5 168 A 0.4 168 A 0.4 168 A 0.4 168 A 0.3 168 A 0.3 168 A 0.2 168
50 A 3.6 455 A 3.7 455 A 6. 455 A 6. 455 A 5.5 455 A 7.4 462 A 6.2 455 A 5.6 455 A 6. 455 A 6.9 458 A 6.7 472 A 6.8 456 A 6.7 459
51 A 0.6 278 A 0.6 278 A 0.7 278 A 0.7 278 A 0.7 278 A 1.1 278 A 0.9 278 A 0.8 278 A 0.8 278 A 0.7 278 A 0.5 278 A 0.5 278 A 0.5 278
52 A 1.3 568 A 1.3 568 A 1.8 568 A 1.7 568 A 2.3 568 A 3.7 568 A 2.9 568 A 5.8 578 A 3.3 578 A 2.6 578 A 2.1 590 A 0.9 578 A 0.8 578
53 A 1.2 296 A 1.2 296 A 1. 296 A 1. 296 A 1. 296 A 1.2 296 A 1. 296 A 0.9 296 A 0.8 296 A 0.7 296 A 0.5 184 A 0.5 184 A 0.4 184
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 0.1 99 A 0.1 99 A 0.1 99 A 0.1 99 A 0.1 99 A 0.1 99 A 0.1 99 A 0.1 99 A 0.1 99 A 0.1 99 A 0.1 99 A 0.1 99 A 0.1 99
56 A 0.2 86 A 0.2 86 A 0.2 86 A 0.2 86 A 0.2 86 A 0.2 86 A 0.2 86 A 0.2 86 A 0.2 86 A 0.2 86 A 0.1 86 A 0.1 86 A 0.1 86
57 C 0.2 97 C 0.2 97 C 0.2 97 C 0.2 97 C 0.2 97 C 0.3 97 C 0.2 97 C 0.2 97 C 0.2 97 C 0.2 97 C 0.1 97 C 0.1 97 C 0.1 97
58 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
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
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
61 A 0.2 135 A 0.2 135 A 0.3 135 A 0.3 135 A 0.3 135 A 0.4 135 A 0.4 135 A 0.3 135 A 0.3 135 A 0.3 135 A 0.3 135 A 0.2 135 A 0.2 135
62 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
63 A 0.4 136 A 0.4 136 A 0.5 136 A 0.5 136 A 0.5 136 A 0.6 136 A 0.5 136 A 0.5 136 A 0.4 136 A 0.4 136 A 0.4 136 A 0.4 227 A 0.3 227
64 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
65 A 0.8 180 A 0.7 180 A 1.1 180 A 1. 180 A 1. 180 A 1.5 180 A 1.4 180 A 1.2 180 A 1.1 180 A 1. 180 A 1.1 180 B 0.9 495 B 0.8 495
66 A 0.1 31 A 0.1 31 A 0.1 31 A 0.1 31 A 0.1 31 A 0.1 31 A 0.1 31 A 0.1 31 A 0.1 31 A 0.1 31 A 0.1 31 A 0. 31 A 0. 31
67 A 0.1 9 A 0.1 9 A 0.1 9 A 0.1 9 A 0.1 9 A 0.1 9 A 0. 9 A 0. 9 A 0. 9 A 0. 9 A 0. 9 A 0. 9 A 0. 9
68 A 0.4 136 A 0.4 136 A 0.4 136 A 0.4 136 A 0.4 136 A 0.5 136 A 0.5 136 A 0.4 136 A 0.3 136 A 0.3 136 A 0.3 136 A 0.3 136 A 0.2 136
69 A 0.2 46 A 0.2 46 A 0.1 46 A 0.1 46 A 0.1 46 A 0.1 46 A 0.1 46 A 0.1 46 A 0.1 46 A 0.1 46 A 0.1 45 A 0.1 45 A 0.1 45
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 A 0.3 82 A 0.3 82 A 0.4 82 A 0.3 82 A 0.4 82 A 0.4 82 A 0.4 82 A 0.3 98 A 0.3 98 A 0.3 98 A 0.3 98 A 0.2 98 A 0.2 98
72 A 0.1 73 A 0.2 73 A 0.2 73 A 0.2 73 A 0.2 73 A 0.3 73 A 0.2 73 A 0.2 73 A 0.2 73 A 0.2 73 A 0.2 73 A 0.2 73 A 0.1 73
73 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
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
75 A 0.6 399 A 0.6 399 A 0.9 399 A 0.9 399 A 1.1 399 A 1.5 399 A 1.4 399 A 1.3 399 A 0.9 399 A 0.8 399 A 0.9 399 A 0.7 399 A 0.5 399
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
77 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
78 A 0.9 413 A 0.9 413 A 1.3 413 A 1.3 413 A 1.4 413 A 2. 413 A 1.8 413 A 1.7 413 A 1.4 413 A 1.3 413 A 1.6 413 A 1. 413 A 0.8 413
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
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
81 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
82 A 0.5 160 A 0.5 160 A 0.7 160 A 0.7 160 A 0.6 160 A 1.3 215 A 1. 215 A 0.9 215 A 0.9 215 A 0.8 215 A 0.7 215 A 0.7 215 A 0.6 215
83 A 0.9 288 A 1. 288 A 1.5 287 A 1.4 287 A 1.8 287 A 3.3 353 A 2.6 353 A 2.1 360 A 2. 360 A 1.8 360 A 1.6 360 A 1.5 360 A 1.6 360
84 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
85 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
86 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
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 F 0 0 F 0 0 F 0 0 F 0 0 F 0 0
88 A 0.3 126 A 0.3 126 A 0.3 126 A 0.3 126 A 0.3 126 A 0.4 126 A 0.4 126 A 0.3 126 A 0.3 126 A 0.3 126 A 0.3 126 A 0.3 126 A 0.2 126
89 A 0.3 201 A 0.3 201 A 0.4 201 A 0.4 201 A 0.4 201 A 0.9 232 A 0.8 232 A 0.8 232 A 0.7 232 A 0.7 232 A 0.6 232 A 0.6 232 A 0.5 232
90 A 0.1 110 A 0.1 110 A 0.1 110 A 0.1 110 A 0.1 110 A 0.3 114 A 0.3 114 A 0.2 114 A 0.2 114 A 0.2 114 A 0.2 114 A 0.2 114 A 0.2 114
91 A 0.2 133 A 0.2 133 A 0.3 133 A 0.2 133 A 0.2 133 A 0.4 133 A 0.3 133 A 0.3 133 A 0.3 133 A 0.3 133 A 0.2 133 A 0.2 133 A 0.2 133
92 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
93 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
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

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