MATLAB: How to calculate complex integration along a closed curve.

complex integration

Let I = \frac{1}{2pi i} \int_{gamma} f(z)dz. I have to find the numerical value of I with help of matlab. What is is the procedure (command )to evaluate I.

Best Answer

I = 1/(2*pi*1I) * integral_{t=0}^{t=T} f(z(t))*z'(t) dt
where z(t) is a parametrization of gamma.
The last integral can numerically be evaluated using MATLAB's "integral" function.
For an example, see
https://de.mathworks.com/help/matlab/math/complex-line-integrals.html
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