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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.

    © BrainMass Inc. brainmass.com October 10, 2019, 5:47 am ad1c9bdddf
    https://brainmass.com/physics/mathematical-physics/residues-theorem-integration-517462

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    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