Cauchy’s integral formula is derived from Cauchy’s theorem and allows us to evaluate seemingly difficult contour integrals by using a very simple formula.
within like 5 minutes of watching this video I was able to understand what I haven't been able to get by watching 2 hours lecture recording. Thank you for making such an important theorem simple and intuitive to understand!
Excellent stuff. After this one 20 min video I understand these concepts better than after reading 2 chapters and watching 3 hours of lecture. Thank you for posting.
You are Brilliant. Thank you. Can anyone tell me what the complex integral represents? What I mean is that normal integration represents area under the curve , in the complex plane what integration along a curve represents?
Yes, it is necessary for f(z) to be defined everywhere where you are integrating. The denominator, on the other hand, has to have exactly one pole for you to use Cauchy's integral formula.