Question

$I\left\{\begin{array}{l}\frac{\left(\begin{array}{c}{\displaystyle \frac{2}{x^3}}+{\displaystyle \frac{5}{x^6}}\\ \end{array}\right)}{{\left(\begin{array}{c}1+{\displaystyle \frac{1}{x^2}}+{\displaystyle \frac{1}{x^5}}\\ \end{array}\right)}^3}dx,   let 1+\frac{1}{x^2}+\frac{1}{x^5}=t\\ \end{array}\right.$
$Hence I=\frac{x^{10}}{2{\left(\begin{array}{c}{x}^5+x^3+1\\ \end{array}\right)}^2}+c$