Prove Suppose that f is integrable on Aj and A2 where A1 = {(r, y)|0 < x < 1, 0 < y <1+ x}, and A2 = {(x, y)| – 1 < x < 0, 0 < y <1- x}. Then, f is integrable on A1 U A2.
Prove Suppose that f is integrable on Aj and A2 where A1 = {(r, y)|0 < x < 1, 0 < y <1+ x}, and A2 = {(x, y)| – 1 < x < 0, 0 < y <1- x}. Then, f is integrable on A1 U A2.
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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Transcribed Image Text:Prove
Suppose that f is integrable on Aj and A2 where
A1 = {(x, y)|0 < x < 1, 0 < y < 1+ x},
and
A2 = {(x, y)| – 1 < x < 0, 0 < y <1- x}.
Then, f is integrable on A1 U A2.
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