Evaluate the following integral using change of coordinates: SR S x³ + xy²dady where R is the region between x = √16 - y² and x = √√4-y² Remember to show complete solution including sketch, limits and integration.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
Question
Evaluate the following integral using change of coordinates:
SR S x³ + xy² dedy
where R is the region between
√16 - y² and x = √4-y²
Remember to show complete solution including sketch, limits and integration.
Transcribed Image Text:Evaluate the following integral using change of coordinates: SR S x³ + xy² dedy where R is the region between √16 - y² and x = √4-y² Remember to show complete solution including sketch, limits and integration.
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