In[]:=
Integrate
ArcTan[Sqrt[x^2+1]]
3
2
(
2
x
+1)
,x
Out[]=
ArcTan[x]-
2
ArcTan
x
2
+
xArcTan
1+
2
x

1+
2
x
In[]:=
Integrate
ArcTan[x]
x(x^2+1)
,x
Out[]=
1
2

2
ArcTan[x]
+ArcTan[x]Log
2
-x
+
1
2
PolyLog[2,-x]-
1
2
PolyLog[2,x]+
1
2
PolyLog2,
+x
-+x
