In contour integration, contours provide a precise definition of the curves on which an integral may be suitably defined. In complex analysis a contour is a type of curve in the complex plane. One method can be used, or a combination of these methods, or various limiting processes, for the purpose of finding these integrals or sums.
application of the Cauchy integral formula and.direct integration of a complex-valued function along a curve in the complex plane.One use for contour integrals is the evaluation of integrals along the real line that are not readily found by using only real variable methods. Ĭontour integration is closely related to the calculus of residues, a method of complex analysis. In the mathematical field of complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane.
