10.7.33 Calculating integrals of a real variable using residues
Condition: Calculate the integral of the function of a real variable: \[ \int_{-\infty}^{+\infty} \frac{x \sin a x d x}{x^{2}+4 x+20} \text {. } \]
Here you can find calculations of proper and improper integrals of a real variable using residues, using various techniques.