1. A method in complex analysis for evaluating integrals along a path in the complex plane, utilizing the residue theorem and properties of analytic functions
Contour integration is a powerful technique for computing real integrals that are difficult to evaluate using standard calculus methods.
A integração de contorno é uma técnica poderosa para calcular integrais reais que são difíceis de avaliar usando métodos de cálculo padrão.
2. The process of integrating a complex-valued function along a closed or open curve in the complex plane
Using contour integration, we can evaluate the integral of the function around a semicircular path in the upper half-plane.
Usando integração de contorno, podemos avaliar a integral da função ao redor de um caminho semicircular no semiplano superior.