- #1
Crake
- 66
- 1
Homework Statement
$$\int_\gamma \frac{\cosh z}{2 \ln 2-z} dz$$
with ##\gamma## defined as:
1. ##|z|=1##
2. ##|z|=2##
I need to solve this using Cauchy integral formula.
Homework Equations
Cauchy Integral Formula
The Attempt at a Solution
With ##|z|=2## I've solved already, as it is quite easy. All one needs to do is re-write the denominator as ##z-2 \ln 2## and since ##2 \ln 2## is inside ##\gamma##, then one can apply easily the formula.
With 1 I'm not sure how to re-write the integral so I can use the Cauchy Integral formula.
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