Definite Integration

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