Evaluate the integral:
${\int }_4^6\frac{4x^5+36x^3+6x^2+27}{x^3+9x}dx$

$\frac{608}{3}-\frac{3}{2}\ln \left(\frac{81}{20}\right)$

$\frac{608}{3}+\ln \left(\frac{81}{20}\right)$

$\frac{608}{3}+\frac{2}{3}\ln \left(\frac{81}{20}\right)$

$\frac{608}{3}+\frac{3}{2}\ln \left(\frac{81}{20}\right)$