I'm looking to show that is not integrable on the subset of where . It's easy to do on , and I think I need to apply Fubini's theorem for the general case, but not sure how to do so in n-dimensional space. Thanks
Answer & Explanation
Via some computation and Tonelli's theorem, we have for measurable that
where is "surface measure" on . Now you can plug in and compute it's integral.
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