How to calculate Lebesgue integral on a difference of balls?
Such as:
$\int_{B(0,2) \setminus {\overline{B}(0,1)}}$
$\overline{B}(0,1)\subset B(0,2)$ thus $$ \int_{B(0,2)\setminus\overline{B}(0,1)}d\mu=\int_{B(0,2)}d\mu-\int_{\overline{B}(0,1)}d\mu $$
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$\overline{B}(0,1)\subset B(0,2)$ thus $$ \int_{B(0,2)\setminus\overline{B}(0,1)}d\mu=\int_{B(0,2)}d\mu-\int_{\overline{B}(0,1)}d\mu $$