Question Number 218462 by York12 last updated on 10/Apr/25
$$\int\frac{{dx}}{\:\sqrt{\mathrm{2}{x}−{x}^{\mathrm{2}} +\mathrm{3}}} \\ $$
Answered by som(math1967) last updated on 10/Apr/25
$$\int\frac{{dx}}{\:\sqrt{\mathrm{4}−\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{1}\right)}} \\ $$$$=\int\frac{{dx}}{\:\sqrt{\mathrm{2}^{\mathrm{2}} −\left({x}−\mathrm{1}\right)^{\mathrm{2}} }} \\ $$$$=\mathrm{sin}^{−\mathrm{1}} \frac{{x}−\mathrm{1}}{\mathrm{2}}\:+{C} \\ $$
Answered by MrGaster last updated on 10/Apr/25
