[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
2.58
4_Trig_functions\4.1aSine\4.1.12(ex)^m(a+bsin(c+dx^n))^p
Table 60: Breakdown of results for each integral
2017.3
2016.2
2015.2
18.02
17.02
16.02
14.0
12.0
#
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
size
grade
cpu
siz
1
A
0.02
40
A
0.02
40
A
0.01
40
A
0.01
40
A
0.01
40
A
0.
40
A
0.
40
A
0.
40
2
A
0.
27
A
0.02
27
A
0.
27
A
0.
27
A
0.
27
A
0.
27
A
0.
27
A
0.
27
3
A
0.01
47
A
0.02
47
A
0.01
47
A
0.01
47
A
0.
47
A
0.02
47
A
0.
47
A
0.
47
4
A
0.01
68
A
0.06
68
A
0.01
68
A
0.01
68
A
0.01
68
A
0.
68
A
0.
68
A
0.02
68
5
A
0.01
83
A
0.02
83
A
0.01
83
A
0.01
83
A
0.
83
A
0.02
83
A
0.
83
A
0.
83
6
A
0.05
48
A
0.06
48
A
0.04
48
A
0.03
48
A
0.02
48
A
0.02
48
A
0.01
48
A
0.02
48
7
C
0.39
162
C
0.31
162
C
0.19
162
C
0.15
162
C
0.12
162
C
0.14
162
C
0.09
162
C
0.37
162
8
A
0.02
99
A
0.02
99
A
0.01
99
A
0.01
99
A
0.02
99
A
0.
99
A
0.
99
A
0.
99
9
A
0.03
78
A
0.04
78
A
0.04
78
A
0.03
78
A
0.02
78
A
0.02
78
A
0.01
78
A
0.02
78
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
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
17
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
18
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
19
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
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
22
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
0.01
42
A
0.02
42
A
0.01
42
A
0.01
42
A
0.
42
A
0.
42
A
0.
42
A
0.
42
24
A
0.02
52
A
0.03
52
A
0.02
52
A
0.01
52
A
0.
52
A
0.
52
A
0.01
52
A
0.
52
25
A
0.02
36
A
0.03
36
A
0.02
36
A
0.01
36
A
0.
36
A
0.02
36
A
0.
36
A
0.
36
26
A
0.01
22
A
0.02
22
A
0.01
22
A
0.01
22
A
0.
22
A
0.01
22
A
0.
22
A
0.
22
27
A
0.02
24
A
0.02
24
A
0.02
24
A
0.01
24
A
0.02
24
A
0.
24
A
0.
24
A
0.
24
28
C
0.14
74
C
0.12
74
C
0.1
82
C
0.11
82
C
0.11
82
C
0.12
82
C
0.08
82
C
0.2
82
29
C
0.18
110
C
0.18
110
C
0.16
136
C
0.21
136
C
0.22
136
C
0.23
136
C
0.17
136
C
0.33
136
30
A
0.02
44
A
0.03
44
A
0.02
44
A
0.01
44
A
0.02
44
A
0.
44
A
0.
44
A
0.
44
31
A
0.04
144
A
0.05
144
A
0.03
133
A
0.02
133
A
0.02
133
A
0.02
133
A
0.01
133
A
0.
133
32
B
0.02
586
B
0.03
586
B
0.01
586
B
0.01
586
B
0.02
586
B
0.01
586
B
0.01
586
B
0.02
586
33
B
0.01
120
B
0.02
120
B
0.01
120
B
0.
120
B
0.
120
B
0.
120
B
0.01
120
B
0.02
120
34
A
0.01
42
A
0.02
42
A
0.01
42
A
0.
42
A
0.
42
A
0.
42
A
0.
42
A
0.
42
35
A
0.02
365
A
0.03
365
A
0.02
365
A
0.02
365
A
0.02
365
A
0.02
365
A
0.01
365
A
0.02
365
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
B
0.02
1246
B
0.03
1246
B
0.02
1246
B
0.01
1246
B
0.02
1246
B
0.
1246
B
0.
1246
B
0.02
1246
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
B
0.1
2724
B
0.09
2724
B
0.08
2724
B
0.07
2724
B
0.05
2724
B
0.06
2724
B
0.05
2724
B
0.06
2724
42
B
0.02
2704
B
0.03
2704
B
0.02
2704
B
0.01
2704
B
0.
2704
B
0.02
2704
B
0.01
2704
B
0.02
2704
43
C
0.11
1175
C
0.1
1175
C
0.06
1169
C
0.05
1169
C
0.05
1169
C
0.05
1169
C
0.04
1169
C
0.11
1169
44
A
0.01
175
A
0.02
175
A
0.01
175
A
0.01
175
A
0.
175
A
0.
175
A
0.01
175
A
0.
175
45
A
0.01
86
A
0.02
86
A
0.01
86
A
0.
86
A
0.
86
A
0.
86
A
0.
86
A
0.02
86
46
A
0.13
936
A
0.13
936
A
0.12
936
A
0.1
936
A
0.09
936
A
0.09
936
A
0.07
936
A
0.06
936
47
A
0.02
108
A
0.04
108
A
0.02
108
A
0.01
108
A
0.02
108
A
0.01
108
A
0.
108
A
0.02
108
48
A
0.03
452
A
0.04
452
A
0.02
452
A
0.02
452
A
0.02
452
A
0.02
452
A
0.01
452
A
0.02
452
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
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
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
57
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
0.04
142
A
0.05
142
A
0.04
142
A
0.02
142
A
0.02
142
A
0.02
142
A
0.01
142
A
0.02
142
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
65
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
66
C
0.15
117
C
0.18
117
C
0.13
117
C
0.09
117
F
0
0
F
0
0
F
0
0
F
0
0
67
C
0.15
183
C
0.15
183
C
0.13
183
C
0.09
183
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
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]