Direct Methods
Direct methods involve the calculation of the integral by means of methods similar to those in calculating line integrals in several-variable calculus. This means that we use the following method:
- parametrizing the contour
- The contour is parametrized by a differentiable complex-valued function of real variables, or the contour is broken up into pieces and parametrized separately
- substitution of the parametrization into the integrand
- Substituting the parametrization into the integrand transforms the integral into an integral of one real variable.
- direct evaluation
- The integral is evaluated in a method akin to a real-variable integral.
Read more about this topic: Methods Of Contour Integration
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