7. Let S = [0, 1] × [0, 1] and ƒ: S → R be defined by f(x, y) (2x³+y², 10, Show that f is integrable over S if x² ≤ y ≤ 2x², elsewhere.
7. Let S = [0, 1] × [0, 1] and ƒ: S → R be defined by f(x, y) (2x³+y², 10, Show that f is integrable over S if x² ≤ y ≤ 2x², elsewhere.
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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![7. Let S = [0, 1] × [0, 1] and ƒ: S → R be defined by
(
2x³ + y²,
f (x, y) =
0,
Show that f is integrable over S
=
if x² ≤ y ≤ 2x²,
elsewhere.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbacf5ca8-44b7-4cc3-b20d-96f0601af827%2F076ef394-9034-4160-be91-fabdb5947b46%2Fw6bdtf_processed.png&w=3840&q=75)
Transcribed Image Text:7. Let S = [0, 1] × [0, 1] and ƒ: S → R be defined by
(
2x³ + y²,
f (x, y) =
0,
Show that f is integrable over S
=
if x² ≤ y ≤ 2x²,
elsewhere.
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