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On R2, evaluate the integral R T The 1²+²+1²ddy - lim lime [L (²+²+1 g dx dx dy. R² -T r2 Notice that this is an improper integral.

On R2, evaluate the integral R T The 1²+²+1²ddy - lim lime [L (²+²+1 g dx dx dy. R² -T r2 Notice that this is an improper integral.

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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On R2, evaluate the integral 1 Jei R2 + y² + 1)² Notice that this is an improper integral. (x² Let w = (u, v) = dx dy X -Y ( ² x² + y²¹ x² + y² J₂ R² = 1 (u²+ v² + 1)² lim lim R→∞T→∞ R T S². S du dv 1 dx dy. (x² + y² + 1)² -R evaluate the improper integral 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). 01 J
Transcribed Image Text:On R2, evaluate the integral 1 Jei R2 + y² + 1)² Notice that this is an improper integral. (x² Let w = (u, v) = dx dy X -Y ( ² x² + y²¹ x² + y² J₂ R² = 1 (u²+ v² + 1)² lim lim R→∞T→∞ R T S². S du dv 1 dx dy. (x² + y² + 1)² -R evaluate the improper integral 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). 01 J
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