em 10.9_2 he residue theorem to verify the following integ
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![**Problem 10.9_2**
Use the residue theorem to verify the following integral.
\[
\int_{-\infty}^{\infty} \frac{dx}{(x^2 + 4x + 5)^2} = \frac{\pi}{2}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F780f9839-f737-4aba-91a2-6210989911b1%2F6fbb1038-4df1-448f-a985-628be1bf5ad1%2F1gzlzm_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 10.9_2**
Use the residue theorem to verify the following integral.
\[
\int_{-\infty}^{\infty} \frac{dx}{(x^2 + 4x + 5)^2} = \frac{\pi}{2}
\]
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