Let the slope of the line 45 x+5 y+3=0 be 27 r_1+(9 r_2)/2 for some r_1, r_2 ∈ R. Then lim_x → 3(∫_3^x (8 t^2)/((3 r_2 x)/2-r_2 x^2-r_1 x^3-3 x) d t)…

Let the slope of the line $\displaystyle 45 x+5 y+3=0$ be $\displaystyle 27 r_1+\frac{9 r_2}{2}$ for some $\displaystyle r_1, r_2 \in \mathbb{R}$. Then $\displaystyle \lim _{x \rightarrow 3}\left(\int_3^x \frac{8 t^2}{\dfrac{3 r_2 x}{2}-r_2 x^2-r_1 x^3-3 x} d t\right)$ is equal to $\displaystyle \_\_\_\_$.