Question Number 143248 by cesarL last updated on 11/Jun/21
$$\int\frac{{dx}}{{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{1}} \\ $$
Commented by mohammad17 last updated on 11/Jun/21
$$ \\ $$$$=\int\:\frac{{dx}}{\left({x}−\mathrm{2}\right)^{\mathrm{2}} −\mathrm{3}}=\frac{\mathrm{1}}{\mathrm{3}}\int\:\frac{−{dx}}{\mathrm{1}−\left(\frac{{x}−\mathrm{2}}{\:\sqrt{\mathrm{3}}}\right)^{\mathrm{2}} }=\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}{coth}^{−\mathrm{1}} \left(\frac{{x}−\mathrm{2}}{\:\sqrt{\mathrm{3}}}\right)+{C} \\ $$$$ \\ $$$$\langle{mohammad}\:{aldolaimy}\rangle \\ $$
Answered by cesarL last updated on 11/Jun/21
$${thank}\:{u}\:{sir},\:{you}\:{have}\:{whatsapp}? \\ $$