Question

Evaluate integration mod z^2 dz Around the circle |Z-1|=1 and |Z|=1 ... please solve it and send the image of solution .....​

Answer 1

$\huge\star\underline\mathfrak\red{Answer:-}$

That leaves the case when n = −1. From our experience with one variable calculus, ∫ 1/x dx = log x, so a natural primitive for 1/z would be log z. In fact by the chain rule, if we want to define the logarithm as the inverse function to the exponential, the derivative will have to be 1/z.