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## Homework Statement

Hi guys. I'm really struggling with this problem. Any help is welcomed.

Suppose I have a function f(y) = [tex]\int[/tex]g(x)/(x^2) on the set [(y/2)^(1/2), [tex]\infty[/tex]]. g(x) is known to be integrable over all of R.

I want to show that f is integrable over [0,[tex]\infty[/tex]], and that the [tex]\int[/tex]f(y) on [0, [tex]\infty[/tex]] = 2*[tex]\int[/tex]f(x) on R.