10.7.22 Calculating integrals of a real variable using residues
Condition: Using residues, calculate the integral. \[ I_{2}=\int_{-\infty}^{+\infty} \frac{(4 x+5) \cos \left(\frac{\pi x}{4}\right)+(-3 x-2) \sin \left(\frac{\pi x}{4}\right)}{x^{2}-10 x+74} d x \]
Here you can find calculations of proper and improper integrals of a real variable using residues, using various techniques.