Calculate-I-1-t-t-2-1-dt-

Question Number 171712 by mathocean1 last updated on 20/Jun/22

$${Calculate}: \\ $$$${I}\left(\alpha\right)=\int\frac{\mathrm{1}}{{t}^{\alpha} \left(\sqrt{{t}^{\mathrm{2}} −\mathrm{1}}\right)}{dt} \\ $$