Integral of 1/(z-1)

1. What is the integral of 1 z?
2. What is the integral of 1 DX?
3. How do you use Cauchy integral formula?
4. What is the integration of E to the power Z?

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 integral of 1 DX?

The integral of 1 with respect to x is x + C. This is mathematically written as ∫ 1 dx = x + C. Here, 1 is the integrand.

How do you use Cauchy integral formula?

Statement: If f(z) is an analytic function in a simply-connected region R, then ∫_c f(z) dz = 0 for every closed contour c contained in R. If f(z) is an analytic function and its derivative f'(z) is continuous at all points within and on a simple closed curve C, then ∫_c f(z) dz = 0.

What is the integration of E to the power Z?

The integral of ez with respect to z is ez .