3 Evaluate the integral cos(x² + y²)dydx by converting to polar coordinates 0 0
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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![### Question 3:
Evaluate the integral
\[
\int_{0}^{3} \int_{0}^{\sqrt{9 - x^2}} \cos(x^2 + y^2) \, dy \, dx
\]
by converting to polar coordinates.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa87d99c9-5893-427c-ad5b-d5a0fa07987d%2F3a44330e-cf90-4ef3-8f68-cca8e110da71%2Fw6t8im_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 3:
Evaluate the integral
\[
\int_{0}^{3} \int_{0}^{\sqrt{9 - x^2}} \cos(x^2 + y^2) \, dy \, dx
\]
by converting to polar coordinates.
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