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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Choosing constants to make integral convergent

**Physics Forums | Science Articles, Homework Help, Discussion**