a) A curve y = f(x) > 0, a ≤ x ≤ b is rotated around the x axis. Derive, with the aid of a suitable diagram, a formula for its volume.

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 22E
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a)
A curve y = f(x) > 0, a ≤ x ≤ b is rotated around the x axis. Derive, with the aid of a
suitable diagram, a formula for its volume.
Transcribed Image Text:a) A curve y = f(x) > 0, a ≤ x ≤ b is rotated around the x axis. Derive, with the aid of a suitable diagram, a formula for its volume.
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