For which values of the real parameter p does the following integral converge? $$\int_{0}^5 \frac{1}{(x^p-1)^{1/3}}dx$$
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2026-05-17 02:25:56.1778984756
Integral convergence test $\int_{0}^5 \frac{1}{(x^p-1)^{1/3}}dx$
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hint
near $1$,
$$x^p-1=e^{p\ln (x)}-1\sim p\ln (x) $$