I want to integrate γβ(adsbygoogle = window.adsbygoogle || []).push({}); ^{γ}x/(β + x)^{γ+1}from 0 to ∞ (given β and γ are both > 0)

So for large x the integrand is approximately proportional to x^{-γ}

So for which values of γ is the integral defined? Surely for any γ > 0 the integrand tends to zero as x tends to infinity?

Thanks

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# Choosing constants to make integral convergent

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