Find the volume of the solid of revolution created when the area bounded by f(x) = 2e-² (shown in the diagram), the x-axis and the lines x = 0 and x= rotated around the y-axis. = 1 is 2 1 د 4x 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
(b) Find the volume of the solid of revolution created when
the area bounded by f(x) = 2e-² (shown in the diagram),
the x-axis and the lines x = 0 and x = 1 is
rotated around the y-axis.
2
1
-
+x
1
Transcribed Image Text:(b) Find the volume of the solid of revolution created when the area bounded by f(x) = 2e-² (shown in the diagram), the x-axis and the lines x = 0 and x = 1 is rotated around the y-axis. 2 1 - +x 1
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