Evaluate the definite integral (int_{-infty}^{+infty} frac{d x}{left(1+x^{2}ight)}), where the contour runs along the (x) axis from (-ho)

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Evaluate the definite integral $\int_{-\infty}^{+\infty} \frac{d x}{\left(1+x^{2}ight)}$, where the contour runs along the $x$ axis from $-ho$ to $+ho$, and then closes by a semicircle in the upper half-plane of radius $ho$ centered at the origin.

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Advanced Mathematics For Engineering Students The Essential Toolbox

ISBN: 9780128236826

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Authors: Brent J Lewis, Nihan Onder, E Nihan Onder, Andrew Prudil

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Question Posted: Jan 26, 2024 02:00 AM

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Evaluate the definite integral (int_{-infty}^{+infty} frac{d x}{left(1+x^{2}ight)}), where the contour runs along the (x) axis from (-ho)

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This integral can be evaluated using the Residue Theorem However instead of directly computing the r...View the full answer

Advanced Mathematics For Engineering Students The Essential Toolbox

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