[* [V²*³ ƒ(z,y) dz dy = "ƒ(x, LS 3. Change the order of integration. y) dr dy = '"* ftal") ƒ(x, y) dy de, find $1(2) and 42(2). 0 $1(x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
3. Change the order of integration.
(a)
(b)
If
r2(x)
ƒ (x, y) dx dy = "*" f(x, y) dy da, find $1(2) and 62(7).
$1(x)
[²²** f(x, y) dx dy =
1
1
•1
-y
•Þ(y)
If
[² St. [²ƒ (x, y, z) dz dy da = [¹ [¹* f*) ƒ(x, y, z) da dz dy, find ø(y).
Transcribed Image Text:3. Change the order of integration. (a) (b) If r2(x) ƒ (x, y) dx dy = "*" f(x, y) dy da, find $1(2) and 62(7). $1(x) [²²** f(x, y) dx dy = 1 1 •1 -y •Þ(y) If [² St. [²ƒ (x, y, z) dz dy da = [¹ [¹* f*) ƒ(x, y, z) da dz dy, find ø(y).
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