Integral inequality 5 How can I prove that:
$$8\le \int _3^4\frac{x^2}{x-2}dx\le 9$$
My teacher advised me to find the asymptotes, why? what helps me if I find the asymptotes?

Hint
Show that $f(x)=\frac{x^2}{x-2}$ satisfies: $f(3)=9,$ $f(4)=8$ and $f$ is decreasing in the interval $[3,4].$
