Consider the solid obtained by rotating the region bounded by the given curves about the specified line. y = √x-1, y = 0, x = 5; about the x-axis Set up an integral that can be used to determine the volume V of the solid. 5 V = 1 ||(TVT-T)² || D (π√x-1)² dx Find the volume of the solid. V = 8π

Calculus: Early Transcendentals
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Author:James Stewart
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Consider the solid obtained by rotating the region bounded by the given curves about the specified line.
y = √x-1, y = 0, x = 5;
about the x-axis
Set up an integral that can be used to determine the volume V of the solid.
5
V =
1
(√x-1)²]dx
V = 8π
πν
Find the volume of the solid.
Transcribed Image Text:Consider the solid obtained by rotating the region bounded by the given curves about the specified line. y = √x-1, y = 0, x = 5; about the x-axis Set up an integral that can be used to determine the volume V of the solid. 5 V = 1 (√x-1)²]dx V = 8π πν Find the volume of the solid.
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y=x-1,y=0,x=5volume about x axis is V=x1x2πy2dx

 

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