Determine the volume generated by revolving about the y-axis the area bounded by y=x²-1, x=2 and y=C Use disk method and express the volume in integral form.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Determine the volume generated by revolving about the y-axis the area bounded by y=x²-1, x=2 and y=0.
Use disk method and express the volume in integral form.
V = 2x
27 [²
(x³ + x) dx
2
2x 1² x (x².
x (x²-1) dx
= x [² (5-y) dy
= x ' (3-y) dy
V = 2x
B
ⒸV=T
D
V 1
o
Transcribed Image Text:Determine the volume generated by revolving about the y-axis the area bounded by y=x²-1, x=2 and y=0. Use disk method and express the volume in integral form. V = 2x 27 [² (x³ + x) dx 2 2x 1² x (x². x (x²-1) dx = x [² (5-y) dy = x ' (3-y) dy V = 2x B ⒸV=T D V 1 o
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