[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
2.19
1_Algebraic_functions\1.1Binomialproducts\1.1.3General\1.1.3.3(a+bx^n)^p(c+dx^n)^q
Table 21: 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
0.01
45
A
0.01
45
A
0.01
45
A
0.
45
A
0.
45
A
0.
45
A
0.
45
A
0.
45
2
A
0.02
147
A
0.02
180
A
0.01
180
A
0.01
180
A
0.
180
A
0.02
180
A
0.01
180
A
0.
180
3
A
0.
95
A
0.01
95
A
0.
95
A
0.
95
A
0.
95
A
0.
95
A
0.
95
A
0.
95
4
A
0.03
403
A
0.02
274
A
0.02
274
A
0.02
274
A
0.02
274
A
0.02
274
A
0.01
274
A
0.02
274
5
B
0.02
484
B
0.02
474
B
0.02
474
B
0.02
474
B
0.02
474
B
0.02
474
B
0.01
474
B
0.02
474
6
B
0.03
367
B
0.02
359
B
0.01
359
B
0.01
359
B
0.02
359
B
0.02
359
B
0.01
359
B
0.
359
7
A
0.01
23
A
0.01
32
A
0.01
32
A
0.01
32
A
0.
32
A
0.02
32
A
0.
32
A
0.
32
8
B
0.1
5101
B
0.08
5101
B
0.06
5101
B
0.06
5101
B
0.05
5101
B
0.06
5101
B
0.05
5101
B
0.06
5101
9
B
0.05
7922
B
0.05
7922
B
0.04
7922
B
0.04
7922
B
0.03
7922
B
0.05
7922
B
0.03
7922
B
0.05
7922
10
A
0.02
393
A
0.02
393
A
0.02
393
A
0.02
393
A
0.02
393
A
0.02
393
A
0.02
393
A
0.03
393
11
B
0.14
18791
B
0.14
18791
B
0.1
18791
B
0.1
18791
B
0.09
18791
B
0.11
18791
B
0.08
18791
B
0.12
18791
12
B
0.12
21220
B
0.11
21220
B
0.09
21220
B
0.08
21220
B
0.09
21220
B
0.09
21220
B
0.07
21220
B
0.11
21220
13
B
0.03
187
B
0.03
187
B
0.03
187
B
0.03
187
B
0.03
187
B
0.03
187
B
0.02
187
B
0.03
187
14
A
0.01
62
A
0.01
62
A
0.
62
A
0.
62
A
0.01
62
A
0.02
62
A
0.01
62
A
0.02
62
15
A
0.02
219
A
0.02
219
A
0.02
219
A
0.02
219
A
0.02
219
A
0.02
219
A
0.01
219
A
0.02
219
16
A
0.01
123
A
0.01
123
A
0.01
123
A
0.01
123
A
0.02
123
A
0.
123
A
0.01
123
A
0.02
123
17
A
0.01
54
A
0.01
54
A
0.
54
A
0.
54
A
0.
54
A
0.02
54
A
0.
54
A
0.
54
18
A
0.
26
A
0.01
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
A
0.
26
A
0.02
26
19
B
0.07
823
B
0.06
823
B
0.04
823
B
0.04
823
B
0.03
823
B
0.05
823
B
0.03
823
B
0.05
823
20
B
0.09
13964
B
0.08
13964
B
0.08
13964
B
0.08
13964
B
0.08
13964
B
0.09
13964
B
0.06
13964
B
0.09
13964
21
A
0.01
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
A
0.
19
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
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
24
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
25
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
26
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
27
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
28
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
29
F
0
0
F
0
0
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
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
34
A
0.06
543
A
0.05
543
A
0.04
543
A
0.04
543
A
0.05
543
A
0.05
543
A
0.03
543
A
0.05
543
35
B
0.11
1410
B
0.11
1410
B
0.1
1410
B
0.1
1410
B
0.08
1410
B
0.12
1410
B
0.08
1414
B
0.12
1410
36
A
0.18
24
A
0.02
24
A
0.01
24
A
0.02
24
A
0.02
24
A
0.02
24
A
0.01
24
A
0.02
24
37
A
0.05
188
A
0.06
188
A
0.04
188
A
0.04
188
A
0.03
188
A
0.06
188
A
0.03
188
A
0.05
188
38
A
0.05
144
A
0.06
144
A
0.04
144
A
0.04
144
A
0.03
144
A
0.06
144
A
0.03
144
A
0.06
144
39
A
0.05
106
A
0.05
106
A
0.04
106
A
0.04
106
A
0.03
106
A
0.06
106
A
0.03
106
A
0.03
106
40
A
0.05
108
A
0.05
108
A
0.04
108
A
0.04
108
A
0.03
108
A
0.06
108
A
0.03
108
A
0.05
108
41
A
0.03
10
A
0.03
10
A
0.03
10
A
0.03
10
A
0.03
10
A
0.03
10
A
0.02
10
A
0.03
10
42
A
0.05
14
A
0.04
14
A
0.03
14
A
0.03
14
A
0.03
14
A
0.03
14
A
0.03
14
A
0.05
14
43
A
0.04
8
A
0.04
8
A
0.02
8
A
0.02
8
A
0.03
8
A
0.05
8
A
0.02
8
A
0.03
8
44
A
0.04
14
A
0.03
14
A
0.02
14
A
0.03
14
A
0.02
14
A
0.02
14
A
0.02
14
A
0.03
14
45
A
0.08
25
A
0.03
25
A
0.02
25
A
0.03
25
A
0.03
25
A
0.03
25
A
0.02
25
A
0.02
25
46
A
0.07
34
A
0.04
34
A
0.03
34
A
0.03
34
A
0.03
34
A
0.05
34
A
0.03
34
A
0.03
34
47
A
0.07
43
A
0.04
43
A
0.04
43
A
0.04
43
A
0.03
43
A
0.03
43
A
0.02
43
A
0.05
43
48
C
0.03
30
C
0.04
30
C
0.03
30
C
0.03
30
C
0.03
30
C
0.03
30
C
0.02
30
C
0.05
30
49
A
0.06
37
A
0.03
37
A
0.03
37
A
0.03
37
A
0.03
37
A
0.03
37
A
0.02
37
A
0.03
37
50
B
0.03
171
B
0.03
171
B
0.02
171
B
0.02
171
B
0.03
171
B
0.05
171
B
0.02
171
B
0.
171
51
A
0.02
158
A
0.02
158
A
0.01
158
A
0.01
158
A
0.
158
A
0.02
158
A
0.01
158
A
0.02
158
52
A
0.03
104
A
0.03
104
A
0.02
104
A
0.02
104
A
0.02
104
A
0.03
104
A
0.02
104
A
0.02
104
53
A
0.03
162
A
0.03
162
A
0.02
162
A
0.02
162
A
0.01
162
A
0.03
162
A
0.02
162
A
0.03
162
54
A
0.02
111
A
0.02
111
A
0.01
111
A
0.01
111
A
0.02
111
A
0.03
111
A
0.01
111
A
0.02
111
55
A
0.05
38
A
0.05
38
A
0.04
38
A
0.04
38
A
0.03
38
A
0.05
38
A
0.03
38
A
0.05
38
56
C
0.03
28
C
0.03
28
C
0.02
28
C
0.02
28
C
0.02
28
C
0.02
28
C
0.02
28
C
0.03
28
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
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
A
0.01
71
A
0.01
71
A
0.01
71
A
0.
71
A
0.
71
A
0.
71
A
0.01
71
A
0.
71
67
A
0.
97
A
0.
97
A
0.
97
A
0.
97
A
0.
97
A
0.
97
A
0.
97
A
0.
97
68
A
0.
73
A
0.
73
A
0.
73
A
0.
73
A
0.
73
A
0.
73
A
0.
73
A
0.
73
69
A
0.
49
A
0.
49
A
0.
49
A
0.
49
A
0.
49
A
0.
49
A
0.
49
A
0.
49
70
A
0.01
195
A
0.01
195
A
0.01
195
A
0.01
195
A
0.
195
A
0.
195
A
0.
195
A
0.
195
71
A
0.
125
A
0.
125
A
0.
125
A
0.
125
A
0.
125
A
0.
125
A
0.
125
A
0.
125
72
A
0.
87
A
0.
87
A
0.
87
A
0.
87
A
0.
87
A
0.
87
A
0.
87
A
0.
87
73
A
0.
49
A
0.
49
A
0.
49
A
0.
49
A
0.
49
A
0.
49
A
0.
49
A
0.
49
74
B
0.
661
B
0.01
661
B
0.01
661
B
0.01
661
B
0.
661
B
0.
661
B
0.
661
B
0.02
661
75
A
0.01
222
A
0.02
222
A
0.01
222
A
0.02
222
A
0.
222
A
0.02
222
A
0.
222
A
0.
222
76
A
0.01
34
A
0.01
34
A
0.01
34
A
0.
34
A
0.02
34
A
0.
34
A
0.
34
A
0.
34
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
78
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
A
0.
87
A
0.
87
A
0.
87
A
0.
87
A
0.
87
A
0.
87
A
0.
87
A
0.
87
81
B
0.02
1118
B
0.02
1118
B
0.02
1118
B
0.02
1118
B
0.02
1118
B
0.01
1118
B
0.01
1118
B
0.02
1118
82
B
0.03
669
B
0.02
669
B
0.01
669
B
0.01
669
B
0.
669
B
0.02
669
B
0.01
669
B
0.
669
83
B
0.02
475
B
0.02
475
B
0.01
475
B
0.01
475
B
0.
475
B
0.
475
B
0.
475
B
0.
475
84
C
0.04
183
C
0.04
183
C
0.03
184
C
0.03
184
C
0.03
184
C
0.05
184
C
0.05
184
C
0.05
184
85
C
0.04
273
C
0.04
273
C
0.02
271
C
0.07
271
C
0.06
271
C
0.11
271
C
0.04
271
C
0.06
271
86
C
0.05
540
C
0.05
540
C
0.03
539
C
0.04
539
C
0.03
539
C
0.04
539
C
0.02
539
C
0.05
539
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
88
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
89
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
90
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
91
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
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
93
B
0.05
939
B
0.05
939
B
0.03
937
B
0.03
939
B
0.02
937
B
0.04
937
B
0.02
939
B
0.02
939
94
B
0.02
332
B
0.03
332
B
0.02
332
B
0.01
332
B
0.02
332
B
0.03
332
B
0.01
332
B
0.02
332
95
B
0.02
1204
B
0.02
1202
B
0.01
1204
B
0.01
1202
B
0.
1204
B
0.01
1202
B
0.01
1202
B
0.02
1204
96
B
0.02
318
B
0.02
318
B
0.01
318
B
0.02
318
B
0.01
318
B
0.03
318
B
0.01
318
B
0.02
318
97
A
0.
112
A
0.01
112
A
0.
112
A
0.
112
A
0.
112
A
0.
112
A
0.
112
A
0.
112
98
B
0.02
178
B
0.02
178
B
0.01
179
B
0.01
179
B
0.
178
B
0.02
178
B
0.01
179
B
0.
178
99
B
0.02
203
B
0.02
203
B
0.01
203
B
0.01
203
B
0.
203
B
0.02
203
B
0.01
203
B
0.
203
100
B
0.03
1157
B
0.03
1157
B
0.02
1157
B
0.02
1157
B
0.02
1157
B
0.01
1157
B
0.02
1157
B
0.02
1157
101
A
0.01
45
A
0.01
45
A
0.
45
A
0.01
45
A
0.
45
A
0.
45
A
0.
45
A
0.
45
102
A
0.01
66
A
0.01
66
A
0.01
66
A
0.01
66
A
0.
66
A
0.
66
A
0.
66
A
0.
66
103
A
0.
23
A
0.
23
A
0.
23
A
0.
23
A
0.
23
A
0.
23
A
0.
23
A
0.
23
104
A
0.02
104
A
0.02
104
A
0.02
104
A
0.02
104
A
0.02
104
A
0.02
104
A
0.01
104
A
0.05
104
105
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
106
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
107
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
108
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
109
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
110
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
111
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
112
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
113
A
0.01
68
A
0.01
68
A
0.01
68
A
0.01
68
A
0.
68
A
0.
68
A
0.01
68
A
0.02
68
114
A
0.01
38
A
0.01
38
A
0.
38
A
0.01
38
A
0.02
38
A
0.02
38
A
0.01
38
A
0.02
38
115
C
0.05
77
C
0.04
77
C
0.03
77
C
0.03
77
C
0.03
77
C
0.03
77
C
0.02
77
C
0.03
77
116
A
0.01
68
A
0.01
68
A
0.01
68
A
0.01
68
A
0.02
68
A
0.
68
A
0.01
68
A
0.
68
117
C
0.04
124
C
0.04
124
C
0.03
124
C
0.03
124
C
0.03
124
C
0.05
124
C
0.02
124
C
0.02
124
118
B
0.04
158
B
0.04
158
B
0.03
158
B
0.03
158
B
0.03
158
B
0.05
158
B
0.02
158
B
0.03
158
119
B
0.04
227
B
0.04
227
B
0.03
227
B
0.03
227
B
0.03
227
B
0.03
227
B
0.02
227
B
0.03
227
120
A
0.01
43
A
0.01
43
A
0.
43
A
0.
43
A
0.
43
A
0.
43
A
0.01
43
A
0.02
43
121
A
0.02
66
A
0.02
66
A
0.01
66
A
0.01
66
A
0.01
66
A
0.02
66
A
0.01
66
A
0.02
66
122
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
123
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
F
0
0
124
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
]