Integral help?

Let f:[0,1]x[0,1] be defined by f(x,y) = (x-1/2)^(-3) if y < |x-1/2|,
f(x,y) = 0 otherwise. What can we say about int_0^1 int_0^1 f(x,y)
dxdy, int_0^1 int_0^1 f(x,y)dydx, and int_E f(x,y) (dy X dx) where
E=[0,1]^2 and (dy X dx) is the product measure?

It looks at first glance like a Fubini-Tonelli problem, but Tonelli
can't say anything since the absolute value of f explodes ridiculously
fast as x approaches 1/2.

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