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
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).
]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf7e432f-d8a7-4405-b581-b444bad9ef3d%2F170aa960-b14e-4a0d-a222-baf50dad914b%2Futo98q0i_processed.png&w=3840&q=75)
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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