Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.
y=(x - 1)^0.5 , y = 0 , x = 5;
about the line y=2.
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.?
2015-02-17 4:17 pm
回答 (1)
2015-02-17 4:34 pm
(x-1)^0.5 = sqrt(x-1)
sqrt (x-1) =0
x-1=0
x=1
x=5
The limits of integration for x is from 1 to 5
Volume = π ∫ ( 2- sqrt(x-1) )^2 dx
= 8π /3
sqrt (x-1) =0
x-1=0
x=1
x=5
The limits of integration for x is from 1 to 5
Volume = π ∫ ( 2- sqrt(x-1) )^2 dx
= 8π /3
收錄日期: 2021-05-01 15:17:12
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