Consider a region $D$ of the plane. Usually, its area is defined as$$\iint_D 1$$Would it be possible that this integral does not exists, and thus $D$ has a non-measurable area?
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Consider a region $D$ of the plane. Usually, its area is defined as$$\iint_D 1$$Would it be possible that this integral does not exists, and thus $D$ has a non-measurable area?