Which of the following represents the volume of the solid generated by revolving the region bounded by f(x)=(x-1)³ and g(x)=x-1 about the x-axis? ₂1 ₂2 A πS [(x - 1)6 - (x - 1)²]dx - π [(x − 1)² - (x - 1)º]dx T 1 ℗ 2x S x [(x-1) ³ - (x-1) ]dx + 2x²x[(x-1)-(x-1) ³]dx B 0 1 1 2 2л x f'x[(x− 1) - (x-1) ³]dx + 2x [*³x[(x− 1) ³ – (x− 1) ]dx 0 1 ₂1 2 ℗ ₁ √ [(x - 1)² - (x - 1)³]dx + ²[(x − 1)² - (x - 1)º]dx π

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Which of the following represents the volume of the solid generated by revolving the region bounded by about the x-axis?

Which of the following represents the volume of the solid generated by revolving the region bounded by
f(x)=(x-1)³ and g(x)=x-1 about the x-axis?
₂2
A πS [(x - 1)6 - (x - 1)²]dx - π [(x − 1)² - (x - 1)º]dx
T
1
℗ 2x S x [(x-1) ³ - (x - 1)]dx + 2π
B
*²x[(x-1)-(x-1) ³]dx
0
1
1
2
2π
x ["'x[(x− 1) - (x− 1) ³]dx + 2x [*³x[(x− 1) ³ – (x− 1) ]dx
0
1
₂1
2
℗ ₁²[(x - 1)² - (x - 1)³]dx + ²[(x − 1)² - (x − 1)º]dx
π
Transcribed Image Text:Which of the following represents the volume of the solid generated by revolving the region bounded by f(x)=(x-1)³ and g(x)=x-1 about the x-axis? ₂2 A πS [(x - 1)6 - (x - 1)²]dx - π [(x − 1)² - (x - 1)º]dx T 1 ℗ 2x S x [(x-1) ³ - (x - 1)]dx + 2π B *²x[(x-1)-(x-1) ³]dx 0 1 1 2 2π x ["'x[(x− 1) - (x− 1) ³]dx + 2x [*³x[(x− 1) ³ – (x− 1) ]dx 0 1 ₂1 2 ℗ ₁²[(x - 1)² - (x - 1)³]dx + ²[(x − 1)² - (x − 1)º]dx π
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