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
1
∫
0
ArcTan
2+
2
x

(1+
2
x
)
2+
2
x
x=
5Pi^2
96