Exercício
$\int\:\frac{\sqrt{x^2-25}}{x^9}dx$
Solução explicada passo a passo
Resposta final para o problema
$\frac{\frac{1}{50000}\sqrt{x^2-25}}{x^2}+\frac{1}{250000}\mathrm{arcsec}\left(\frac{x}{5}\right)+\frac{\frac{1}{3000}\sqrt{x^2-25}}{x^{4}}+\frac{\sqrt{x^2-25}}{150x^{6}}+\frac{-\frac{7}{1200000}\sqrt{x^2-25}\left(1+\frac{-2\left(x^2-25\right)}{x^2}\right)}{x^2}-\frac{7}{6000000}\mathrm{arcsec}\left(\frac{x}{5}\right)+\frac{-\frac{7}{300000}\sqrt{x^2-25}}{x^2}-\frac{7}{3000000}\mathrm{arcsec}\left(\frac{x}{5}\right)+\frac{-\frac{7}{1200}\sqrt{x^2-25}}{x^{6}}+\frac{-\sqrt{x^2-25}}{8x^{8}}+C_0$