Consider the volume integral (z+3y-2)dv over the region inside the circular cylinder x² + y² = 1 lying between the planes z = 0 and z = 1. (a) Sketch the region of integration. (b) Evaluate the volume 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.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 1E
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Consider the volume integral
(z+3y-2)dv
over the region inside the circular cylinder x² + y² = 1 lying between the planes z = 0 and z = 1.
(a) Sketch the region of integration.
(b) Evaluate the volume integral.
Transcribed Image Text:Consider the volume integral (z+3y-2)dv over the region inside the circular cylinder x² + y² = 1 lying between the planes z = 0 and z = 1. (a) Sketch the region of integration. (b) Evaluate the volume integral.
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