In[]:=
Integrate
ArcTan
2+
2
x

2+
2
x
(1+
2
x
)
,{x,0,1}
Out[]=
1
∫
0
ArcTan
2+
2
x

(1+
2
x
)
2+
2
x
x
In[]:=
NIntegrate
ArcTan
2+
2
x

2+
2
x
(1+
2
x
)
,{x,0,1},WorkingPrecision->20
Out[]=
0.51404189589007076140

In[]:=
0.51404189589007076140
Input interpretation
0.51404189589007076140
Number line
Rational form
2570209479450353807
5000000000000000000
Number name
zero point five one four zero four one eight nine five eight nine zero zero seven one
Continued fraction
Fraction form
[0; 1, 1, 17, 3, 3, 2, 3, 2, 7, 1, 2, 1, 1, 1, 2, 1, 3, 1, 3, 19, 3]
Possible closed forms
More
5
2
π
96
≈0.51404189589007076139762
5ζ(2)
16
≈0.51404189589007076139762
175
4608
A
td
≈0.51404189589007076139762
ζ(2) is zeta of 2 »
A^__td is the mean triangle-in-disk area »
1
∫
0
ArcTan
2+
2
x

(1+
2
x
)
2+
2
x
x=
5Pi^2
96