Let (u(x)=left(x^{alpha}+x^{beta}ight)^{-1}, x, alpha, beta>0). For which (p geqslant 1) is (u in mathcal{L}^{p}left(lambda^{1},(0, infty)ight)) ?

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Let \(u(x)=\left(x^{\alpha}+x^{\beta}ight)^{-1}, x, \alpha, \beta>0\). For which \(p \geqslant 1\) is \(u \in \mathcal{L}^{p}\left(\lambda^{1},(0, \infty)ight)\) ?

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