Evaluate the iterated integral by converting to polar coordinates V2x-x² S Sx-** Jx2 + y² dy dx So, I understand that x2 + y? = r² and x = rcos 0 and y : = rsin 0 But when solving the problem, can you also explain how you find the limits of r varies from 0 to 2cos 0 and 0 varies from 0 to 2 Thank you

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Evaluate the iterated integral by converting to polar coordinates
2x-x2
Vx² + y² dy dx
2
So, I understand that x2 + y2
= r² and x = rcos 0 and y
= rsin 0
But when solving the problem, can you also explain how you find the limits of r varies from 0 to
2cos 0 and 0 varies from 0 to
2
Thank you
Transcribed Image Text:Evaluate the iterated integral by converting to polar coordinates 2x-x2 Vx² + y² dy dx 2 So, I understand that x2 + y2 = r² and x = rcos 0 and y = rsin 0 But when solving the problem, can you also explain how you find the limits of r varies from 0 to 2cos 0 and 0 varies from 0 to 2 Thank you
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