What does the following integral become when the appropriate u$-$substitution is made? ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{12x^5-5x}{\sqrt[3]{4x^6-5x^{2}10}}dx$

$($a$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}2u^{\frac{4}{5}}du$

$($b$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{u}^{-\frac{1}{5}}du$

$($c$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{2u^{-\frac{1}{5}}}du$

$($d$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{2}{u}^{-\frac{1}{5}}du$

$($e$)$ None of these