Evaluate the integral using any appropriate algebraic method or trigonometric identity.

${\displaystyle \underset{3}{\overset{8}{}}}\frac{5x^7}{x^4-6}dx$

${\displaystyle \underset{3}{\overset{8}{}}}\frac{5x^7}{x^4-6}dx=$

$$

$($Type an integer or decimal rounded to the nearest thousandth as needed.$)$