Prove that the piece-wise function defined by 1 3x if r <-2 - - f(z) = {-4 11 2. if r = -2 %3D x² + 5x + if r> -2 is integrable on [-4, 7]. (Hint: do not use upper and lower sums, use a theorem)
Prove that the piece-wise function defined by 1 3x if r <-2 - - f(z) = {-4 11 2. if r = -2 %3D x² + 5x + if r> -2 is integrable on [-4, 7]. (Hint: do not use upper and lower sums, use a theorem)
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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Question
![Prove that the piece-wise function defined by
3x
if r < -2
-
f(z) -(-号
11
2.
if r = -2
%3D
x² + 5x +
if r > -2
is integrable on [-4, 7].
(Hint: do not use upper and lower sums, use a theorem)
117](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0edc2e10-e138-4408-99a1-d38f31b8a70d%2F0bd2d8b6-b993-42b8-a3d9-b9b1211e0387%2Fhqlyry9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove that the piece-wise function defined by
3x
if r < -2
-
f(z) -(-号
11
2.
if r = -2
%3D
x² + 5x +
if r > -2
is integrable on [-4, 7].
(Hint: do not use upper and lower sums, use a theorem)
117
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