Question

Evaluate $\oint_C \frac{e^z}{\left(z^2+\pi^2\right)^2} d z$ where $C$ is the circle $|z|=4$.

   Evaluate $\oint_C \frac{e^z}{\left(z^2+\pi^2\right)^2} d z$ where $C$ is the circle $|z|=4$.

Schaum's Outlines: Complex Variables

Schaum's Outlines: Complex Variables

Murray Spiegel 1st Edition

Chapter 5, Problem 29

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Step 1

In this case, the integrand has singularities at $z=\pm i\pi$ within the region $|z|\leq 4$. Show more…

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Evaluate $\oint_C \frac{e^z}{\left(z^2+\pi^2\right)^2} d z$ where $C$ is the circle $|z|=4$.

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