#14. Given the integral SS² y² cos xdxdy (a) Evaluate it. "(with the given order of integration), (b) Sketch the region of integration, shade it, and write down. inequalities for x andy, describing it, (c) Reverse the order of integration (and adjust bounds for SS accordingly) so the order becomes dy dx, instead of dody, and evaluate the resulting integral.

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
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#14. Given the integral SS² y² cos xdxdy
(a) Evaluate it.
"(with the given order of integration),
(b) Sketch the region of integration,
shade it, and write down.
inequalities for x andy, describing it,
(c) Reverse the order of integration
(and adjust bounds for SS accordingly)
so the order becomes dy dx, instead of dody,
and evaluate the resulting integral.
Transcribed Image Text:#14. Given the integral SS² y² cos xdxdy (a) Evaluate it. "(with the given order of integration), (b) Sketch the region of integration, shade it, and write down. inequalities for x andy, describing it, (c) Reverse the order of integration (and adjust bounds for SS accordingly) so the order becomes dy dx, instead of dody, and evaluate the resulting integral.
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