Suppose there are gj: TR continue when j = 1, 2 with 91 92 and T is a cube contained in Rn-1 With the set B = {(x, y): x € T, 91(x) ≤ y ≤ 92(x)} Prove [₁1 dv = f (2) f(x,y) dy dV(x) dV Jg₁(x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
6
Suppose there are gj: TR continue when j
91 ≤ 92 and T is a cube contained in Rn-1
With the set B = {(x, y): x T, 91(x) ≤ y ≤92(x)}
Prove
(92(x)
√₁ f dv = f (²) f(x,y) dy dV (2)
B
T Jg₁(x)
1,2 with
Transcribed Image Text:Suppose there are gj: TR continue when j 91 ≤ 92 and T is a cube contained in Rn-1 With the set B = {(x, y): x T, 91(x) ≤ y ≤92(x)} Prove (92(x) √₁ f dv = f (²) f(x,y) dy dV (2) B T Jg₁(x) 1,2 with
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