The curves f(x)= 3-x^2 and g(x) =e^(2x)-1 are shown in the figure. Let R be the shaded region bounded by the graph of f (x), g(x) and the y-axis. Find the volume of the solid generated when R is rotated about the x-axis.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The curves f(x)= 3-x^2 and g(x) =e^(2x)-1 are shown in the figure. Let R be the shaded region bounded by the graph of f (x), g(x) and the y-axis. Find the volume of the solid generated when R is rotated about the x-axis.
0.5
15
0
-0.5
35
25
-1.5
-0.5
0
R
0.5
1
1.5
2
Transcribed Image Text:0.5 15 0 -0.5 35 25 -1.5 -0.5 0 R 0.5 1 1.5 2
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