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2.200
8_Special_functions\8.9Productlogarithmfunction
Table 202: Breakdown of results for each integral
2017.3
2016.2
2015.2
18.02
17.02
16.02
14.0
12.0
#
grade
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cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
siz
1
A
0.04
56
A
0.21
56
A
0.01
56
A
0.01
56
A
0.01
56
A
0.02
56
A
0.
56
A
0.
56
2
A
0.03
46
A
0.2
46
A
0.01
46
A
0.
46
A
0.
46
A
0.
46
A
0.
46
A
0.
46
3
A
0.03
32
A
0.2
32
A
0.01
32
A
0.01
32
A
0.01
32
A
0.02
32
A
0.
32
A
0.02
32
4
A
0.03
63
A
0.2
63
A
0.01
63
A
0.01
63
A
0.01
63
A
0.
63
A
0.
63
A
0.
63
5
A
0.09
128
A
0.21
128
A
0.02
128
A
0.01
128
A
0.01
128
A
0.
128
A
0.01
128
A
0.
128
6
A
0.03
253
A
0.2
253
A
0.01
253
A
0.01
253
A
0.01
253
A
0.02
253
A
0.
253
A
0.
253
7
A
0.03
125
A
0.2
125
A
0.01
125
A
0.01
125
A
0.01
125
A
0.
125
A
0.
125
A
0.
125
8
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
9
A
0.03
332
A
0.2
332
A
0.01
332
A
0.01
332
A
0.01
332
A
0.02
332
A
0.01
332
A
0.02
332
10
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
11
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
12
A
0.08
575
A
0.22
575
A
0.03
575
A
0.02
575
A
0.02
575
A
0.03
575
A
0.02
575
A
0.02
575
13
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
B
0.04
489
B
0.21
489
B
0.02
489
B
0.02
489
B
0.02
489
B
0.02
489
B
0.01
489
B
0.02
489
15
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
16
A
0.03
44
A
0.2
44
A
0.
44
A
0.01
44
A
0.01
44
A
0.
44
A
0.
44
A
0.02
44
17
A
0.02
23
A
0.19
23
A
0.
23
A
0.
23
A
0.01
23
A
0.
23
A
0.
23
A
0.
23
18
A
0.03
43
A
0.2
43
A
0.01
43
A
0.01
43
A
0.01
43
A
0.
43
A
0.
43
A
0.02
43
19
A
0.03
72
A
0.2
72
A
0.01
72
A
0.01
72
A
0.01
72
A
0.
72
A
0.01
72
A
0.
72
20
A
0.03
60
A
0.19
60
A
0.01
60
A
0.01
60
A
0.01
60
A
0.
60
A
0.
60
A
0.02
60
21
A
0.03
20
A
0.19
20
A
0.01
20
A
0.
20
A
0.
20
A
0.02
20
A
0.
20
A
0.02
20
22
A
0.03
34
A
0.2
34
A
0.01
34
A
0.01
34
A
0.01
34
A
0.02
34
A
0.01
34
A
0.
34
23
A
0.04
48
A
0.2
48
A
0.01
48
A
0.01
48
A
0.01
48
A
0.
48
A
0.01
48
A
0.02
48
24
A
0.03
20
A
0.2
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
25
A
0.03
30
A
0.22
30
A
0.01
30
A
0.01
30
A
0.01
30
A
0.02
30
A
0.01
30
A
0.02
30
26
A
0.08
147
A
0.21
147
A
0.02
147
A
0.01
147
A
0.01
147
A
0.02
147
A
0.01
147
A
0.02
147
27
A
0.02
26
A
0.11
26
A
0.01
26
A
0.01
26
A
0.01
26
A
0.
26
A
0.01
26
A
0.02
26
28
B
0.06
252
B
0.21
252
B
0.02
252
B
0.02
252
B
0.01
252
B
0.
252
B
0.01
252
B
0.02
252
29
A
0.03
27
A
0.2
27
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
30
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
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
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
0.01
32
A
0.1
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
34
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
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
36
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
37
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
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
40
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
42
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
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
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
46
A
0.07
95
A
0.21
95
A
0.01
95
A
0.02
95
A
0.01
95
A
0.
95
A
0.01
95
A
0.02
95
47
A
0.02
30
A
0.1
30
A
0.
30
A
0.
30
A
0.
30
A
0.
30
A
0.
30
A
0.
30
48
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
49
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
50
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
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
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
54
A
0.01
32
A
0.1
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
55
A
0.03
35
A
0.22
35
A
0.01
35
A
0.01
35
A
0.01
35
A
0.02
35
A
0.01
35
A
0.02
35
56
A
0.03
74
A
0.2
74
A
0.01
74
A
0.01
74
A
0.01
74
A
0.
74
A
0.01
74
A
0.02
74
57
A
0.03
22
A
0.1
22
A
0.
22
A
0.
22
A
0.
22
A
0.
22
A
0.
22
A
0.
22
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
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
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
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
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
63
A
0.03
22
A
0.2
22
A
0.01
22
A
0.
22
A
0.01
22
A
0.02
22
A
0.
22
A
0.
22
64
A
0.03
22
A
0.2
22
A
0.01
22
A
0.01
22
A
0.01
22
A
0.
22
A
0.
22
A
0.
22
65
A
0.03
29
A
0.2
29
A
0.01
29
A
0.01
29
A
0.01
29
A
0.02
29
A
0.01
29
A
0.
29
66
A
0.03
33
A
0.2
33
A
0.01
33
A
0.01
33
A
0.01
33
A
0.
33
A
0.
33
A
0.02
33
67
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
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
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
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
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
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
74
A
0.03
14
A
0.19
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
75
A
0.03
73
A
0.2
73
A
0.01
73
A
0.01
73
A
0.01
73
A
0.02
73
A
0.
73
A
0.
73
76
A
0.03
57
A
0.22
57
A
0.01
57
A
0.01
57
A
0.01
57
A
0.
57
A
0.
57
A
0.
57
77
A
0.03
34
A
0.2
34
A
0.01
34
A
0.01
34
A
0.01
34
A
0.02
34
A
0.
34
A
0.02
34
78
A
0.03
11
A
0.2
11
A
0.01
11
A
0.01
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
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
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
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