#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: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
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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