Evaluate each of the double integrals in Exercises 41–44 asiterated integrals. 41.∬Rsin(x + 2y) dA,where R = {(x, y) | 0 ≤ x ≤ π and 0 ≤ y ≤ π/2}42.∬Rx sin x cos y dA,where R = {(x, y) | −3 ≤ x ≤ 2 and −2 ≤ y ≤ 2}43.∬Rxexy dA,where R = {(x, y) | 0 ≤ x ≤ 1 and 0 ≤ y ≤ ln 5}44.∬Rx2 cos(xy) dA,where R = {(x, y) | 0 ≤ x ≤ π and 0 ≤ y ≤ 1}
Evaluate each of the double integrals in Exercises 41–44 asiterated integrals. 41.∬Rsin(x + 2y) dA,where R = {(x, y) | 0 ≤ x ≤ π and 0 ≤ y ≤ π/2}42.∬Rx sin x cos y dA,where R = {(x, y) | −3 ≤ x ≤ 2 and −2 ≤ y ≤ 2}43.∬Rxexy dA,where R = {(x, y) | 0 ≤ x ≤ 1 and 0 ≤ y ≤ ln 5}44.∬Rx2 cos(xy) dA,where R = {(x, y) | 0 ≤ x ≤ π and 0 ≤ y ≤ 1}
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Evaluate each of the double
iterated integrals.
41.∬Rsin(x + 2y) dA,
where R = {(x, y) | 0 ≤ x ≤ π and 0 ≤ y ≤ π/2}
42.∬Rx sin x cos y dA,
where R = {(x, y) | −3 ≤ x ≤ 2 and −2 ≤ y ≤ 2}
43.∬Rxexy dA,
where R = {(x, y) | 0 ≤ x ≤ 1 and 0 ≤ y ≤ ln 5}
44.∬Rx2 cos(xy) dA,
where R = {(x, y) | 0 ≤ x ≤ π and 0 ≤ y ≤ 1}
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