Study-the-convergence-with-respect-to-and-the-improper-integral-below-0-dx-x-lnx-

Question Number 143755 by Ar Brandon last updated on 18/Jun/21

Study the convergence with respect to

α and β the improper integral below;

\int_{0}^{\infty} \frac{dx}{x^{α} {(lnx)}^{β}}

Answered by mathmax by abdo last updated on 18/Jun/21

a lots of case see bertrand integral \dots

Commented by Ar Brandon last updated on 18/Jun/21

I^{'} m aware {it}^{'} s {Bertrand}^{'} s integral . But {can}^{'} t find

any reliable link . Can you recommend me one ?

Commented by mathmax by abdo last updated on 20/Jun/21

take a look at google \dots