#2 Given the integral S√ S√ 4 cos(x²) dx dy 0 [FIN √4 y (a) Do not attempt to evaluate it yet. Instead, write down inequalities describing the region R of integration, and sketch it in the xy-plane (b) Describe R with a different set of inequalities, appropriate when the order of integration Sdy doc is used (insteaded SS. dxdy) reverse the order" () using (b), of integration (so, at the end you have dy dx) with appropriate bounds, 4) Evaluate the integral from part (c) parte #3
#2 Given the integral S√ S√ 4 cos(x²) dx dy 0 [FIN √4 y (a) Do not attempt to evaluate it yet. Instead, write down inequalities describing the region R of integration, and sketch it in the xy-plane (b) Describe R with a different set of inequalities, appropriate when the order of integration Sdy doc is used (insteaded SS. dxdy) reverse the order" () using (b), of integration (so, at the end you have dy dx) with appropriate bounds, 4) Evaluate the integral from part (c) parte #3
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.4: The Fundamental Theorem Of Calculus
Problem 62E
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![#2 Given the integral
S√ S√ 4 cos(x²) dx dy
0
[FIN
√4
y (a) Do not attempt
to evaluate it yet. Instead,
write down inequalities
describing the region R of
integration, and sketch it in
the xy-plane
(b) Describe R with a different
set of inequalities, appropriate
when the order of integration
Sdy doc is used (insteaded SS. dxdy)
reverse the order"
() using (b),
of integration (so, at the end
you have dy dx) with
appropriate bounds,
4) Evaluate the integral
from part (c)
parte
#3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac50b8d8-ed5e-4222-adea-45a3db4f7b39%2F158820a6-2f1a-44d6-955a-3f3869272a37%2Fu20re5f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:#2 Given the integral
S√ S√ 4 cos(x²) dx dy
0
[FIN
√4
y (a) Do not attempt
to evaluate it yet. Instead,
write down inequalities
describing the region R of
integration, and sketch it in
the xy-plane
(b) Describe R with a different
set of inequalities, appropriate
when the order of integration
Sdy doc is used (insteaded SS. dxdy)
reverse the order"
() using (b),
of integration (so, at the end
you have dy dx) with
appropriate bounds,
4) Evaluate the integral
from part (c)
parte
#3
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