Exercício
$\int\frac{\sqrt{x^2-9}}{x^9}dx$
Solução explicada passo a passo
Resposta final para o problema
$\frac{\frac{5}{11664}\sqrt{x^2-9}}{x^2}+\frac{5}{34992}\mathrm{arcsec}\left(\frac{x}{3}\right)+\frac{\frac{5}{1944}\sqrt{x^2-9}}{x^{4}}+\frac{\sqrt{x^2-9}}{54x^{6}}+\frac{-\frac{35}{279936}\sqrt{x^2-9}\left(1+\frac{-2\left(x^2-9\right)}{x^2}\right)}{x^2}-\frac{35}{839808}\mathrm{arcsec}\left(\frac{x}{3}\right)+\frac{-\frac{35}{69984}\sqrt{x^2-9}}{x^2}-\frac{35}{419904}\mathrm{arcsec}\left(\frac{x}{3}\right)+\frac{-\frac{7}{432}\sqrt{x^2-9}}{x^{6}}+\frac{-\sqrt{x^2-9}}{8x^{8}}+C_0$