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(b) Sketch the region represented in the following double integral 2 ra sin B 1- pas ²- = y cot B In(x² + y²) dedy, where a > 0 and 0 < 3 < π/2. By changing to polar coordinates or otherwise, show that I = a²B(In a 1/2). -

(b) Sketch the region represented in the following double integral 2 ra sin B 1- pas ²- = y cot B In(x² + y²) dedy, where a > 0 and 0 < 3 < π/2. By changing to polar coordinates or otherwise, show that I = a²B(In a 1/2). -

Advanced Engineering Mathematics
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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(b) Sketch the region represented in the following double integral ra sin B find [V²-o y cot B I = In(x² + y²) dxdy, where a > 0 and 0 < 3 < π/2. By changing to polar coordinates or otherwise, show that I a²8(lna - 1/2). =
Transcribed Image Text:(b) Sketch the region represented in the following double integral ra sin B find [V²-o y cot B I = In(x² + y²) dxdy, where a > 0 and 0 < 3 < π/2. By changing to polar coordinates or otherwise, show that I a²8(lna - 1/2). =
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