# Residues Theorem and Integration

Using the Residues Theorem, calculate the following:

Integral limits between negative infinity and positive infinity [dx/(1+x^2)].

Please the file attached for the formula in its adequate notation.

https://brainmass.com/physics/mathematical-physics/residues-theorem-integration-517462

#### Solution Preview

See the attached pdf file for readability and the full breakdown of the solution with ...

#### Solution Summary

Using the residues theorem over an appropriate contour in the complex plane we calculate the integral from minus infinity to plus infinity of the function 1/(1+x^2)

$2.19