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# Residues Theorem and Integration

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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.

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

## SOLUTION This solution is FREE courtesy of BrainMass!

See the attached pdf file for readability and the full breakdown of the solution with its adequate notation and symbols.

Using contour integration, parametrizing the circle of radius R, and utilizing several limit theorems and properties, we conclude the following:

Integral limits between negative infinity and positive infinity of 1/(1+x^2) = Pi

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Â© BrainMass Inc. brainmass.com December 24, 2021, 10:54 pm ad1c9bdddf>
https://brainmass.com/physics/mathematical-physics/residues-theorem-integration-517462