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In Exercises 37-42, set up the iterated integral for evaluating ƒ ƒ(r, 0, z) r dz dr de over the given region D. 37. D is the right circular cylinder whose base is the circle r = 2 sin 0 in the xy-plane and whose top lies in the plane z = 4 — y. X Z z = 4-y r = 2 sin 0

In Exercises 37-42, set up the iterated integral for evaluating ƒ ƒ(r, 0, z) r dz dr de over the given region D. 37. D is the right circular cylinder whose base is the circle r = 2 sin 0 in the xy-plane and whose top lies in the plane z = 4 — y. X Z z = 4-y r = 2 sin 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please explain how you would find the integrals.

 

Solution for integral with theta says it would be integral from 0 to pi but I don't understand how or why that would be.

 

Shouldn't it be from 0 to 2pi?

In Exercises 37-42, set up the iterated integral for evaluating f(r, 0, z) r dz dr de over the given region D. 37. D is the right circular cylinder whose base is the circle r = 2 sin 0 in the xy-plane and whose top lies in the plane z = 4 y. X Z z = 4-y y r = 2 sin 0
Transcribed Image Text:In Exercises 37-42, set up the iterated integral for evaluating f(r, 0, z) r dz dr de over the given region D. 37. D is the right circular cylinder whose base is the circle r = 2 sin 0 in the xy-plane and whose top lies in the plane z = 4 y. X Z z = 4-y y r = 2 sin 0
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