WebComplex integration We will define integrals of complex functions along curves in C. (This is a bit similar to [real-valued] line integrals R Pdx+ Qdyin R2.) A curve is most conveniently defined by a parametrisation. So a curve is a function : [a;b] ! C(from a finite closed real intervale [a;b] to the plane). We can imagine the point (t) being WebContour integrals. The contour integral of a complex function f : C → C is a generalization of the integral for real-valued functions. For continuous functions in the complex plane, the contour integral can be defined in analogy to the line integral by first defining the integral along a directed smooth curve in terms of an integral over a real valued parameter.

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Complex integration, method of - Encyclopedia of Mathematics

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