Decide, without calculation, if each of the integrals below are positive, negative, or zero. Let D be the region inside the unit circle centered at the origin. Let T, B, R, and L denote the regions enclosed by the top half, the bottom half, the right half, and the left half of unit circle, respectively. ? ? ? ? ? 1. 2. 3. 4. 5. [x D J B xe dA xe dA J xe dA L [x R xe dA [x T xe dA

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Decide, without calculation, if each of the integrals below are positive, negative, or zero. Let D be the region inside the unit circle centered at
the origin. Let T, B, R, and L denote the regions enclosed by the top half, the bottom half, the right half, and the left half of unit circle, respectively.
?
?
?
?
?
1.
2.
xe dA
D
I
XƯA
J xăn
xe dA
B
3.
2. ff
L
4.
J
R
xe dA
xe dA
5. ff xe² da
dA
T
Transcribed Image Text:Decide, without calculation, if each of the integrals below are positive, negative, or zero. Let D be the region inside the unit circle centered at the origin. Let T, B, R, and L denote the regions enclosed by the top half, the bottom half, the right half, and the left half of unit circle, respectively. ? ? ? ? ? 1. 2. xe dA D I XƯA J xăn xe dA B 3. 2. ff L 4. J R xe dA xe dA 5. ff xe² da dA T
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