QUESTION 6 If the region D, can be described by the inequalities g, (x) ≤ y ≤ g₂ (x) and a ≤ x ≤ b, where g₁ = 9₁(x) and g₂= 9₂(x) are functions of only x, then SD, f(x,y) dA= Alternatively, if the region D is described by the inequalities h, (v) ≤x≤h, (v) and, csysd. where h₂= h, (y) and h₂ h₂(y) are functions of only y, we have SD, f(x,y) dA= D₂ Write the iterated integrals D, and D₂.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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QUESTION 6
If the region D, can be described by the inequalities g, (x) ≤ y ≤ g₂ (x) and a ≤ x ≤ b, where g₁ =
9₁(x) and g₂ = 9₂(x) are functions of only ,x, then
D, f(x,y) dA=
Alternatively, if the region D is described by the inequalities h, (y) ≤ x ≤ h₂(y) and, c≤ y ≤d,
where h₁ = h, (y) and h₂ h₂(y) are functions of only y, we have
SD, f(x,y) dA=
D₂
Write the iterated integrals D, and D₂.
Transcribed Image Text:QUESTION 6 If the region D, can be described by the inequalities g, (x) ≤ y ≤ g₂ (x) and a ≤ x ≤ b, where g₁ = 9₁(x) and g₂ = 9₂(x) are functions of only ,x, then D, f(x,y) dA= Alternatively, if the region D is described by the inequalities h, (y) ≤ x ≤ h₂(y) and, c≤ y ≤d, where h₁ = h, (y) and h₂ h₂(y) are functions of only y, we have SD, f(x,y) dA= D₂ Write the iterated integrals D, and D₂.
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