$\iiint_{|x| + |y| + |z| > 1} \frac{1}{|x|^p + |y|^q + |z|^r}dxdydz$

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Could you help me to solve this very complicated problem? I don't know how to start. $$\iiint_{|x| + |y| + |z| > 1} \frac{1}{|x|^p + |y|^q + |z|^r}dxdydz, p>0, q>0,r>0$$