Find the volume of the solid obtained by ro- cating about the x-axis the region bounded by che parabolas y x² and y = 5 – x² (a) us- ng x as the integration variable and (b) using - as the integration variable.

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 11E
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Find the volume of the solid obtained by ro-
tating about the x-axis the region bounded by
1
the parabolas y = -x² and y = 5 – x? (a) us-
4
ing x as the integration variable and (b) using
y as the integration variable.
Transcribed Image Text:Find the volume of the solid obtained by ro- tating about the x-axis the region bounded by 1 the parabolas y = -x² and y = 5 – x? (a) us- 4 ing x as the integration variable and (b) using y as the integration variable.
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