A solid is obtained by rotating the shaded region about the specified line. about the y-axis y y=3x-x² y = x (a) Set up an integral to find the volume of the solid. 2 dx (b) Evaluate the integral to find the volume of the solid. X

Algebra: Structure And Method, Book 1
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Section5.13: Using Factoring To Solve Problems
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A solid is obtained by rotating the shaded region about the specified line.
about the y-axis
y
y=3x-x²
y = x
(a) Set up an integral to find the volume of the solid.
2
ax
(b) Evaluate the integral to find the volume of the solid.
X
Transcribed Image Text:A solid is obtained by rotating the shaded region about the specified line. about the y-axis y y=3x-x² y = x (a) Set up an integral to find the volume of the solid. 2 ax (b) Evaluate the integral to find the volume of the solid. X
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