Question Number 220179 by SdC355 last updated on 07/May/25

$$\int\:\:\:\frac{\mathrm{d}{s}}{\:\sqrt{{s}^{\mathrm{2}} +\mathrm{1}}\left({s}+\sqrt{{s}^{\mathrm{2}} +\mathrm{1}}\right)^{−\nu} } \\ $$
Answered by Ghisom last updated on 07/May/25

$$=\frac{\left({s}+\sqrt{{s}^{\mathrm{2}} +\mathrm{1}}\right)^{\nu} }{{v}}+{C} \\ $$