Esercizio
$\int\frac{\sqrt{x^2-16}}{x^9}dx$
Soluzione passo-passo
Risposta finale al problema
$\frac{\frac{5}{65536}\sqrt{x^2-16}}{x^2}+\frac{5}{262144}\mathrm{arcsec}\left(\frac{x}{4}\right)+\frac{\frac{5}{6144}\sqrt{x^2-16}}{x^{4}}+\frac{\sqrt{x^2-16}}{96x^{6}}+\frac{-\frac{35}{1572864}\sqrt{x^2-16}\left(1+\frac{-2\left(x^2-16\right)}{x^2}\right)}{x^2}-\frac{35}{6291456}\mathrm{arcsec}\left(\frac{x}{4}\right)+\frac{-\frac{35}{393216}\sqrt{x^2-16}}{x^2}-\frac{35}{3145728}\mathrm{arcsec}\left(\frac{x}{4}\right)+\frac{-\frac{7}{768}\sqrt{x^2-16}}{x^{6}}+\frac{-\sqrt{x^2-16}}{8x^{8}}+C_0$