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2.42
1_Algebraic_functions\1.3Miscellaneous\1.3.1Rationalfunctions
Table 44: 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.
46
A
0.01
46
A
0.
46
A
0.
46
A
0.
46
A
0.
46
A
0.
46
A
0.
46
2
B
0.
98
B
0.01
98
B
0.
98
B
0.
98
B
0.
98
B
0.
98
B
0.
98
B
0.
98
3
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
A
0.
32
4
A
0.
13
A
0.01
13
A
0.01
13
A
0.01
13
A
0.
13
A
0.01
13
A
0.
13
A
0.02
13
5
A
0.
29
A
0.
29
A
0.
29
A
0.
29
A
0.
29
A
0.
29
A
0.
29
A
0.
29
6
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
7
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
8
B
0.
164
B
0.
164
B
0.
164
B
0.
164
B
0.02
164
B
0.
164
B
0.
164
B
0.
164
9
A
0.01
13
A
0.01
13
A
0.01
13
A
0.01
13
A
0.02
13
A
0.
13
A
0.
13
A
0.
13
10
A
0.01
147
A
0.02
147
A
0.01
147
A
0.01
147
A
0.
147
A
0.01
147
A
0.01
147
A
0.02
147
11
A
0.02
78
A
0.02
78
A
0.02
78
A
0.02
78
A
0.02
78
A
0.02
78
A
0.01
78
A
0.02
78
12
A
0.
12
A
0.01
12
A
0.
12
A
0.
12
A
0.
12
A
0.
12
A
0.
12
A
0.02
12
13
B
0.02
152
B
0.02
152
B
0.02
152
B
0.02
152
B
0.02
152
B
0.02
152
B
0.01
152
B
0.03
152
14
B
0.08
2105
B
0.11
2105
B
0.09
2105
B
0.09
2105
B
0.08
2105
B
0.09
2105
B
0.04
2105
B
0.08
2105
15
C
0.01
74
C
0.02
74
C
0.01
60
C
0.01
60
C
0.01
60
C
0.01
60
C
0.01
60
C
0.02
60
16
C
0.02
93
C
0.02
93
C
0.01
91
C
0.01
91
C
0.01
91
C
0.01
91
C
0.01
91
C
0.
91
17
C
0.01
93
C
0.01
93
C
0.
91
C
0.
91
C
0.01
91
C
0.02
91
C
0.
91
C
0.
91
18
C
0.
90
C
0.01
90
C
0.
88
C
0.
88
C
0.01
88
C
0.
88
C
0.
88
C
0.02
88
19
C
0.01
133
C
0.02
133
C
0.01
133
C
0.01
133
C
0.03
133
C
0.02
133
C
0.01
133
C
0.02
133
20
C
0.01
56
C
0.01
56
C
0.01
59
C
0.01
59
C
0.01
59
C
0.02
59
C
0.01
59
C
0.02
59
21
C
0.02
122
C
0.02
122
C
0.02
102
C
0.02
102
C
0.02
102
C
0.02
102
C
0.02
102
C
0.03
102
22
C
0.02
122
C
0.02
122
C
0.02
110
C
0.02
110
C
0.02
110
C
0.03
110
C
0.02
110
C
0.02
110
23
A
0.01
19
A
0.02
19
A
0.01
19
A
0.01
19
A
0.01
19
A
0.01
19
A
0.
19
A
0.
19
24
A
0.
18
A
0.01
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
25
A
0.
19
A
0.01
19
A
0.
19
A
0.
19
A
0.02
19
A
0.
19
A
0.
19
A
0.
19
26
A
0.01
20
A
0.02
20
A
0.01
20
A
0.01
20
A
0.01
20
A
0.01
20
A
0.
20
A
0.
20
27
A
0.01
11
A
0.02
11
A
0.01
11
A
0.01
11
A
0.01
11
A
0.01
11
A
0.
11
A
0.02
11
28
A
0.01
21
A
0.01
21
A
0.
21
A
0.01
21
A
0.01
21
A
0.01
21
A
0.
21
A
0.
21
29
A
0.
34
A
0.01
34
A
0.
34
A
0.01
34
A
0.
34
A
0.01
34
A
0.
34
A
0.
34
30
A
0.01
28
A
0.02
28
A
0.02
28
A
0.02
28
A
0.03
28
A
0.02
28
A
0.01
28
A
0.
28
31
A
0.
20
A
0.01
20
A
0.
20
A
0.02
20
A
0.02
20
A
0.02
20
A
0.01
20
A
0.
20
32
A
0.01
28
A
0.01
28
A
0.
28
A
0.
28
A
0.02
28
A
0.01
28
A
0.
28
A
0.02
28
33
A
0.
28
A
0.
30
A
0.
30
A
0.01
30
A
0.
30
A
0.01
30
A
0.
30
A
0.02
30
34
A
0.
32
A
0.
32
A
0.
32
A
0.01
32
A
0.
32
A
0.02
32
A
0.
32
A
0.
32
35
A
0.
16
A
0.
16
A
0.
16
A
0.02
16
A
0.
16
A
0.02
16
A
0.01
16
A
0.
16
36
A
0.
15
A
0.
15
A
0.
15
A
0.01
15
A
0.02
15
A
0.02
15
A
0.
15
A
0.
15
37
A
0.01
11
A
0.02
11
A
0.01
11
A
0.01
11
A
0.01
11
A
0.01
11
A
0.
11
A
0.
11
38
A
0.01
13
A
0.02
13
A
0.01
13
A
0.01
13
A
0.
13
A
0.01
13
A
0.
13
A
0.
13
39
A
0.01
14
A
0.02
14
A
0.01
14
A
0.01
14
A
0.01
14
A
0.02
14
A
0.
14
A
0.
14
40
A
0.
13
A
0.01
13
A
0.
13
A
0.01
13
A
0.
13
A
0.02
13
A
0.
13
A
0.
13
41
A
0.01
16
A
0.02
16
A
0.01
16
A
0.01
16
A
0.01
16
A
0.
16
A
0.
16
A
0.
16
42
A
0.01
18
A
0.02
18
A
0.01
18
A
0.01
18
A
0.01
18
A
0.01
18
A
0.
18
A
0.
18
43
A
0.01
18
A
0.02
18
A
0.01
18
A
0.01
18
A
0.01
18
A
0.02
18
A
0.
18
A
0.
18
44
A
0.01
32
A
0.02
32
A
0.02
32
A
0.01
32
A
0.02
32
A
0.02
32
A
0.01
32
A
0.
32
45
C
0.01
56
C
0.02
56
C
0.01
45
C
0.01
45
C
0.01
45
C
0.02
45
C
0.01
45
C
0.02
45
46
A
0.02
28
A
0.12
24
C
0.1
111
C
0.09
111
C
0.08
111
C
0.11
111
C
0.02
111
C
0.03
111
47
A
0.01
29
A
0.01
29
A
0.01
29
A
0.
29
A
0.02
29
A
0.
29
A
0.
29
A
0.
29
48
A
0.01
23
A
0.02
23
A
0.01
23
A
0.01
23
A
0.01
23
A
0.02
23
A
0.
23
A
0.02
23
49
A
0.01
28
A
0.01
28
A
0.01
28
A
0.01
28
A
0.01
28
A
0.02
28
A
0.
28
A
0.
28
50
A
0.01
16
A
0.02
16
A
0.01
16
A
0.01
16
A
0.02
16
A
0.
16
A
0.
16
A
0.
16
51
A
0.
39
A
0.01
39
A
0.
39
A
0.01
39
A
0.01
39
A
0.
39
A
0.
39
A
0.
39
52
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
53
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
54
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
55
A
0.01
15
A
0.02
15
A
0.01
15
A
0.01
15
A
0.01
15
A
0.02
15
A
0.
15
A
0.02
15
56
A
0.
16
A
0.01
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
A
0.
16
57
A
0.01
17
A
0.01
17
A
0.01
17
A
0.01
17
A
0.
17
A
0.02
17
A
0.
17
A
0.
17
58
A
0.
26
A
0.01
26
A
0.
26
A
0.
26
A
0.02
26
A
0.
26
A
0.
26
A
0.
26
59
A
0.01
61
A
0.01
61
A
0.01
61
A
0.01
61
A
0.02
61
A
0.02
61
A
0.
61
A
0.02
61
60
B
0.05
308
B
0.06
308
B
0.05
308
B
0.1
308
B
0.04
308
B
0.06
308
B
0.02
308
B
0.03
308
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