Problem 10.9_10 Use the residue theorem to verify the following integral. [™"² b> a>0 de a² cos² (0) + b² sin² (0) ㅠ 2ab'
Problem 10.9_10 Use the residue theorem to verify the following integral. [™"² b> a>0 de a² cos² (0) + b² sin² (0) ㅠ 2ab'
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem 10.9_10**
Use the residue theorem to verify the following integral.
\[
\int_0^{\pi/2} \frac{d\theta}{a^2 \cos^2(\theta) + b^2 \sin^2(\theta)} = \frac{\pi}{2ab},
\]
where \( b \geq a > 0 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F780f9839-f737-4aba-91a2-6210989911b1%2F6f6744fa-662b-472f-b2d9-788e46cb89f8%2Fs4p33p_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 10.9_10**
Use the residue theorem to verify the following integral.
\[
\int_0^{\pi/2} \frac{d\theta}{a^2 \cos^2(\theta) + b^2 \sin^2(\theta)} = \frac{\pi}{2ab},
\]
where \( b \geq a > 0 \).
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