mma8中的Integrate vs NIntegrate中的Bug

NIntegrate[Log[1/2 + Sqrt[1/4 - 1/(4 x^2)]]/x, {x, 1, Infinity}]
--> -0.171007

Integrate[Log[1/2 + Sqrt[1/4 - 1/(4 x^2)]]/x, {x, 1, Infinity}] // N
--> 0.171007

NIntegrate[]

PrincipalValue

x->u^(-1/2)

In[12]:= Log[1/2 + Sqrt[1/4 - 1/(4*x^2)]]/x Dt[x]/Dt[u] /. 
 x -> 1/Sqrt[u]

Out[12]= Log[1/2 + Sqrt[1/4 - u/4]]/(2 u)

In[14]:= Integrate[%, {u, 1, 0}]

Out[14]= 1/24 (-\\[Pi]^2 + Log[8] Log[16])

In[15]:= N[%]

Out[15]= -0.171007

NIntegrate