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2.18
1_Algebraic_functions\1.1Binomialproducts\1.1.3General\1.1.3.2(cx)^m(a+bx^n)^p
Table 20: 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.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.01
13
A
0.
13
2
A
0.
13
A
0.01
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
3
A
0.02
13
A
0.
13
A
0.01
13
A
0.01
13
A
0.01
13
A
0.
13
A
0.
13
A
0.
13
4
A
0.
13
A
0.01
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
5
A
0.
13
A
0.01
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
6
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
7
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.02
13
A
0.
13
A
0.
13
8
A
0.
10
A
0.
10
A
0.
10
A
0.
10
A
0.
10
A
0.02
10
A
0.
10
A
0.
10
9
A
0.
13
A
0.01
13
A
0.
13
A
0.
13
A
0.02
13
A
0.
13
A
0.
13
A
0.
13
10
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
11
A
0.08
13
A
0.06
13
A
0.38
13
A
0.05
13
A
0.03
13
A
0.03
13
A
0.01
13
A
0.02
13
12
A
0.
9
A
0.01
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.02
9
13
A
0.
10
A
0.
10
A
0.
10
A
0.
10
A
0.02
10
A
0.02
10
A
0.
10
A
0.02
10
14
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.02
13
15
A
0.
10
A
0.01
10
A
0.
10
A
0.
10
A
0.
10
A
0.
10
A
0.
10
A
0.02
10
16
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.02
13
A
0.
13
A
0.02
13
17
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.01
13
A
0.
13
A
0.
13
A
0.02
13
18
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.02
20
19
A
0.
22
A
0.
22
A
0.
22
A
0.
22
A
0.
22
A
0.
22
A
0.
22
A
0.
22
20
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
21
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
22
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
23
A
0.
11
A
0.01
11
A
0.
11
A
0.
11
A
0.
11
A
0.02
11
A
0.
11
A
0.
11
24
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
25
A
0.01
12
A
0.01
12
A
0.01
12
A
0.01
12
A
0.
10
A
0.
10
A
0.03
10
A
0.
10
26
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.02
18
A
0.
18
A
0.
18
27
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.02
11
A
0.
11
A
0.
11
28
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.02
11
A
0.
11
A
0.
11
A
0.
11
29
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
30
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
A
0.
9
31
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
A
0.
11
32
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
33
A
0.
20
A
0.01
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
A
0.
20
34
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
35
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
36
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
A
0.
18
37
A
0.
13
A
0.01
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
A
0.
13
38
A
0.
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
39
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
40
A
0.
17
A
0.
17
A
0.
17
A
0.
17
A
0.
17
A
0.
17
A
0.
17
A
0.
17
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
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
43
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
44
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
A
0.
14
45
A
0.
12
A
0.
12
A
0.
12
A
0.
12
A
0.
12
A
0.
12
A
0.
12
A
0.
12
46
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
47
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
A
0.
25
48
A
0.01
25
A
0.01
25
A
0.01
25
A
0.01
25
A
0.02
25
A
0.02
25
A
0.
25
A
0.
25
49
A
0.
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
50
A
0.01
36
A
0.01
36
A
0.01
36
A
0.01
36
A
0.
36
A
0.
36
A
0.
36
A
0.02
36
51
A
0.
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
A
0.
36
52
A
0.02
58
A
0.01
58
A
0.01
58
A
0.01
58
A
0.02
58
A
0.
58
A
0.
58
A
0.
58
53
A
0.
57
A
0.
57
A
0.
57
A
0.
57
A
0.
57
A
0.
57
A
0.
57
A
0.
57
54
A
0.01
56
A
0.01
56
A
0.01
56
A
0.01
56
A
0.02
56
A
0.01
56
A
0.
56
A
0.
56
55
A
0.01
56
A
0.01
56
A
0.01
56
A
0.01
56
A
0.02
56
A
0.02
56
A
0.
56
A
0.
56
56
A
0.
91
A
0.
91
A
0.
91
A
0.
91
A
0.
91
A
0.
91
A
0.
91
A
0.02
91
57
A
0.01
91
A
0.01
91
A
0.01
91
A
0.01
91
A
0.02
91
A
0.02
91
A
0.
91
A
0.
91
58
A
0.01
102
A
0.01
102
A
0.
102
A
0.01
102
A
0.
102
A
0.
102
A
0.
102
A
0.02
102
59
A
0.
91
A
0.
91
A
0.
91
A
0.
91
A
0.
91
A
0.
91
A
0.
91
A
0.
91
60
A
0.01
99
A
0.01
99
A
0.01
99
A
0.01
99
A
0.
99
A
0.
99
A
0.
99
A
0.
99
61
A
0.01
100
A
0.02
100
A
0.01
100
A
0.01
100
A
0.02
100
A
0.02
100
A
0.
100
A
0.
100
62
A
0.01
33
A
0.01
33
A
0.01
33
A
0.01
33
A
0.02
33
A
0.02
33
A
0.
33
A
0.02
33
63
A
0.01
108
A
0.01
108
A
0.01
108
A
0.01
108
A
0.
108
A
0.02
108
A
0.
108
A
0.
108
64
A
0.
106
A
0.
106
A
0.
106
A
0.
106
A
0.
106
A
0.
106
A
0.
106
A
0.
106
65
A
0.02
35
A
0.02
35
A
0.02
35
A
0.02
35
A
0.02
35
A
0.02
35
A
0.01
35
A
0.02
35
66
A
0.01
115
A
0.02
115
A
0.02
115
A
0.02
115
A
0.02
115
A
0.02
115
A
0.
115
A
0.
115
67
A
0.01
119
A
0.02
126
A
0.01
126
A
0.01
126
A
0.
126
A
0.02
126
A
0.
126
A
0.
126
68
A
0.02
127
A
0.01
137
A
0.01
137
A
0.01
137
A
0.02
137
A
0.02
137
A
0.
137
A
0.02
137
69
A
0.02
125
A
0.01
133
A
0.01
133
A
0.01
133
A
0.
133
A
0.02
133
A
0.
133
A
0.
133
70
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
A
0.
15
71
A
0.01
105
A
0.01
105
A
0.
105
A
0.01
105
A
0.
105
A
0.
105
A
0.
105
A
0.
105
72
A
0.01
36
A
0.01
36
A
0.01
36
A
0.01
36
A
0.
36
A
0.02
36
A
0.01
36
A
0.02
36
73
A
0.11
36
A
0.1
36
A
0.07
36
A
0.07
36
A
0.06
36
A
0.08
36
A
0.07
36
A
0.06
36
74
A
0.02
337
A
0.03
337
A
0.02
337
A
0.02
337
A
0.02
337
A
0.06
337
A
0.02
337
A
0.02
337
75
A
0.02
317
A
0.03
317
A
0.02
317
A
0.02
317
A
0.01
317
A
0.06
317
A
0.01
317
A
0.02
317
76
A
0.03
295
A
0.04
295
A
0.03
295
A
0.02
295
A
0.02
295
A
0.06
295
A
0.02
295
A
0.03
295
77
A
0.01
25
A
0.01
25
A
0.01
25
A
0.01
25
A
0.02
25
A
0.
25
A
0.
25
A
0.
25
78
A
0.01
36
A
0.01
36
A
0.01
36
A
0.01
36
A
0.
36
A
0.
36
A
0.
36
A
0.02
36
79
A
0.01
15
A
0.01
15
A
0.01
15
A
0.01
15
A
0.
15
A
0.02
15
A
0.
15
A
0.
15
80
A
0.02
301
A
0.04
301
A
0.02
301
A
0.02
301
A
0.02
301
A
0.06
301
A
0.01
301
A
0.03
301
81
A
0.04
39
A
0.04
39
A
0.02
39
A
0.03
39
A
0.03
39
A
0.06
39
A
0.02
39
A
0.02
39
82
A
0.03
57
A
0.04
57
A
0.03
57
A
0.03
57
A
0.02
57
A
0.08
57
A
0.02
57
A
0.03
57
83
A
0.03
457
A
0.03
457
A
0.02
457
A
0.02
457
A
0.03
457
A
0.08
457
A
0.02
457
A
0.02
457
84
A
0.04
48
A
0.03
48
A
0.02
48
A
0.03
48
A
0.03
48
A
0.03
48
A
0.02
48
A
0.03
48
85
A
0.
116
A
0.
116
A
0.
116
A
0.01
116
A
0.02
116
A
0.
116
A
0.01
116
A
0.
116
86
A
0.03
141
A
0.03
141
A
0.02
141
A
0.02
141
A
0.03
141
A
0.03
141
A
0.01
141
A
0.02
141
87
A
0.03
186
A
0.02
186
A
0.02
186
A
0.02
186
A
0.02
186
A
0.03
186
A
0.01
186
A
0.02
186
88
A
0.02
173
A
0.02
173
A
0.02
173
A
0.01
173
A
0.01
173
A
0.03
173
A
0.01
173
A
0.02
173
89
A
0.03
185
A
0.02
185
A
0.02
185
A
0.02
185
A
0.03
185
A
0.03
185
A
0.01
185
A
0.02
185
90
A
0.01
21
A
0.01
21
A
0.01
21
A
0.
21
A
0.
21
A
0.02
21
A
0.
21
A
0.02
21
91
A
0.03
134
A
0.03
134
A
0.02
134
A
0.02
134
A
0.02
134
A
0.02
134
A
0.02
134
A
0.02
134
92
A
0.
158
A
0.
158
A
0.
158
A
0.02
158
A
0.02
158
A
0.
158
A
0.01
158
A
0.
158
93
A
0.04
11
A
0.03
11
A
0.02
11
A
0.02
11
A
0.02
11
A
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266
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62
269
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273
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274
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279
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280
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281
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283
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284
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0.08
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400
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0.06
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0.04
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0.03
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0.02
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52
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52
B
0.02
52
411
C
0.04
503
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0.04
485
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0.03
485
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0.03
503
C
0.03
485
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0.05
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0.02
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0.03
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0
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165
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0.02
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168
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0.02
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0.01
106
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0.02
106
467
B
0.13
330
B
0.1
239
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0.09
239
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0.09
239
B
0.08
239
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0.04
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129
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0.06
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0.05
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135
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311
516
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0.04
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528
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535
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0.04
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0.04
53
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539
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27
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324
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B
0.
44
B
0.
44
570
A
0.03
100
A
0.03
100
A
0.03
100
A
0.03
100
A
0.02
100
A
0.03
100
A
0.01
100
A
0.03
100
571
A
0.03
119
A
0.03
119
A
0.03
119
A
0.03
119
A
0.02
119
A
0.03
119
A
0.01
119
A
0.03
119
572
C
0.04
214
C
0.07
632
C
0.06
731
C
0.06
731
C
0.05
731
C
0.06
731
C
0.02
731
C
0.08
731
573
C
0.04
524
C
0.07
659
C
0.06
844
C
0.06
844
C
0.05
844
C
0.08
844
C
0.03
844
C
0.08
844
574
C
0.
77
C
0.01
77
C
0.
79
C
0.
79
C
0.
79
C
0.
79
C
0.
79
C
0.
79
575
C
0.01
98
C
0.02
98
C
0.01
105
C
0.01
105
C
0.
105
C
0.01
105
C
0.
105
C
0.
105
576
A
0.01
84
A
0.01
84
A
0.01
84
A
0.01
84
A
0.02
84
A
0.02
84
A
0.
84
A
0.02
84
577
C
0.02
221
C
0.03
221
C
0.02
318
C
0.02
318
C
0.02
318
C
0.05
318
C
0.01
318
C
0.03
318
578
C
0.03
507
C
0.04
507
C
0.03
514
C
0.03
514
C
0.03
514
C
0.03
514
C
0.02
514
C
0.06
514
579
C
0.02
557
C
0.07
701
C
0.03
892
C
0.02
892
C
0.01
892
C
0.08
892
C
0.03
892
C
0.08
892
580
B
0.
3262
B
0.01
3262
B
0.
3262
B
0.
3262
B
0.
3262
B
0.
3262
B
0.
3262
B
0.
3262
581
B
0.
56
B
0.
56
B
0.
56
B
0.
56
B
0.
56
B
0.
56
B
0.
56
B
0.
56
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