10.7.3 Calculating integrals of a real variable using residues

Problem: Calculate the integral, using residues: \[ I=\int_{-\infty}^{+\infty} \frac{3 x^{2}+6 x-4}{\left(x^{2}-8 x+17\right)\left(x^{2}-16 x+68\right)} d x . \]