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2.139
5_Inverse_trig_functions\5.2aInversetangent\5.2.1.3(fx)^m(d+ex^2)^p(a+barctan(cx))^n
Table 141: 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
102
A
0.08
102
A
0.01
102
A
0.01
102
A
0.
102
A
0.02
102
A
0.01
102
A
0.02
102
2
C
0.02
117
C
0.08
117
C
0.02
117
B
0.1
227
B
0.08
672
B
0.08
672
B
0.06
672
B
0.08
672
3
A
0.03
97
A
0.09
97
A
0.02
97
A
0.02
97
A
0.02
97
A
0.01
97
A
0.01
97
A
0.02
97
4
A
0.02
168
A
0.07
168
A
0.01
168
A
0.01
168
A
0.
168
A
0.01
168
A
0.01
168
A
0.02
168
5
C
0.03
178
C
0.1
178
C
0.03
178
B
0.19
302
B
0.11
7874
B
0.11
7874
B
0.1
7874
B
0.14
7874
6
A
0.03
147
A
0.08
147
A
0.02
147
A
0.02
147
A
0.02
147
A
0.02
147
A
0.01
147
A
0.
147
7
A
0.03
186
A
0.09
186
A
0.02
186
A
0.02
186
A
0.02
186
A
0.02
186
A
0.01
186
A
0.02
186
8
C
0.25
760
C
0.28
760
C
0.16
760
C
0.37
1877
C
0.26
2846
C
0.26
2846
C
0.24
2846
C
0.37
2846
9
C
0.66
3851
C
0.66
3851
C
0.57
3855
C
0.48
3855
C
0.36
12842
C
0.37
12842
C
0.31
12842
C
0.45
12842
10
B
0.05
297
B
0.1
294
B
0.03
294
B
0.03
294
B
0.03
294
B
0.03
294
B
0.02
294
B
0.03
294
11
A
0.03
216
A
0.09
180
A
0.02
180
A
0.02
180
A
0.03
180
A
0.02
180
A
0.01
180
A
0.02
180
12
C
0.93
3664
C
1.01
3664
C
0.88
3670
C
0.68
3670
C
0.58
30244
C
0.64
30244
C
0.6
30244
C
0.9
30244
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
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
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