# Improper Integral Proof

Prove that for $r>1$ the improper integral $$\int \frac{1}{(1+x^5))^(frac{r}{5})}dx$$ exists. the boundaries for integration are infinity and one. (i don't know how to write that in code sorry)
And the hint is: Compare with the function $$x\rightarrow \frac{1}{x^r}$$.