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On R2, evaluate the integral 1 √√₂₁² (2²² +1² + 1)² Notice that this is an improper integral. Let w = X (u, v) = ( (22) R² dx dy -Y + y²¹ x² + y² - (u² + v² + 1)² R T II lim lim R→∞T→∞ du dv 1 (x² + y² + 1)² evaluate the improper integral dx dy. Notice that beside the limit as u or v goes to infinity, this function is in fact not even -defined at (u, v) = (0,0). ]

On R2, evaluate the integral 1 √√₂₁² (2²² +1² + 1)² Notice that this is an improper integral. Let w = X (u, v) = ( (22) R² dx dy -Y + y²¹ x² + y² - (u² + v² + 1)² R T II lim lim R→∞T→∞ du dv 1 (x² + y² + 1)² evaluate the improper integral dx dy. Notice that beside the limit as u or v goes to infinity, this function is in fact not even -defined at (u, v) = (0,0). ]

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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pls do not copy other prof's answer. tq

On R2, evaluate the integral 1 √√₂₁² (2²² +1² + 1)² Notice that this is an improper integral. Let w = (u, v) = ( (22474 x² R² dx dy -Y + y²¹ x² + y² - (u² + v² + 1)² R T II lim lim R→∞T→∞ du dv 1 (x² + y² + 1)² evaluate the improper integral dx dy. Notice that beside the limit as u or v goes to infinity, this function is in fact not even -defined at (u, v) = (0,0). ]
Transcribed Image Text:On R2, evaluate the integral 1 √√₂₁² (2²² +1² + 1)² Notice that this is an improper integral. Let w = (u, v) = ( (22474 x² R² dx dy -Y + y²¹ x² + y² - (u² + v² + 1)² R T II lim lim R→∞T→∞ du dv 1 (x² + y² + 1)² evaluate the improper integral dx dy. Notice that beside the limit as u or v goes to infinity, this function is in fact not even -defined at (u, v) = (0,0). ]
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