Integral of 1/z^2 over unit circle

1. What is the integral of 1 z?
2. What is the integration of E to the power Z?
3. How do you find the contour integral?

What is the integral of 1 z?

The only singularity of the function f(z) = 1/z is at z=0 and so the (line) integral of 1/z around any closed contour not enclosing z=0, is 0.

What is the integration of E to the power Z?

The integral of ez with respect to z is ez .

How do you find the contour integral?

Contour integration is the process of calculating the values of a contour integral around a given contour in the complex plane. As a result of a truly amazing property of holomorphic functions, such integrals can be computed easily simply by summing the values of the complex residues inside the contour.