y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the solid generated is given by the definite integral dy [(x+2) -x*]? dr -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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y = x and y = x+ 2
Revolve the area about the x-axis. Using circular ring method, the volume of the solid generated is given by the definite integral
(y-2) -
dy
[(x+2) – x*]* dx
-1
Transcribed Image Text:y = x and y = x+ 2 Revolve the area about the x-axis. Using circular ring method, the volume of the solid generated is given by the definite integral (y-2) - dy [(x+2) – x*]* dx -1
y =x and y = x+ 2
Revolve the area about the line x = 3. Using cylindrical shell method, the volume of the solid generated is given by the definite
integral
A
2x
-y+2)dy
® 2*/ (3+) (5-y+2)dy
B
(3-x) (2+x-x2) dx
2x
-1
x(2+x-x2) dx
-1
Transcribed Image Text:y =x and y = x+ 2 Revolve the area about the line x = 3. Using cylindrical shell method, the volume of the solid generated is given by the definite integral A 2x -y+2)dy ® 2*/ (3+) (5-y+2)dy B (3-x) (2+x-x2) dx 2x -1 x(2+x-x2) dx -1
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