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The integral 2n / 14xe dx can be done with the substitution u - and du= dx.

The integral 2n / 14xe dx can be done with the substitution u - and du= dx.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Step 2 Now we can say that the volume of the solid created by rotating the region under y = 14e axis between x = 0 and x = 1 around the y-axis is and above thex- V = 2arh dx 2m 14e dx. 14e Step 3 The integral 2r 14xex dx can be done with the substitution u = x and du = dx.
Transcribed Image Text:Step 2 Now we can say that the volume of the solid created by rotating the region under y = 14e axis between x = 0 and x = 1 around the y-axis is and above thex- V = 2arh dx 2m 14e dx. 14e Step 3 The integral 2r 14xex dx can be done with the substitution u = x and du = dx.
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. y = 14e, y = 0, x = 0, x = 1 Sketch the region and a typical shell. Step 1 Rotating a vertical strip around the y-axis creates a cylinder with radius r= x and height h = 14e Sketch the region and a typical shell. | 14c~=" 15 15 10 5 -0.5 0.5 10 1.5 -0.5 0.5 10 1.5 -5 -10 -15F -15 y 15 15 10 -1.5 -1.0 1.0 1.5 -1.5 -1.0 -0.5 0.5 1.0 1.5
Transcribed Image Text:Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. y = 14e, y = 0, x = 0, x = 1 Sketch the region and a typical shell. Step 1 Rotating a vertical strip around the y-axis creates a cylinder with radius r= x and height h = 14e Sketch the region and a typical shell. | 14c~=" 15 15 10 5 -0.5 0.5 10 1.5 -0.5 0.5 10 1.5 -5 -10 -15F -15 y 15 15 10 -1.5 -1.0 1.0 1.5 -1.5 -1.0 -0.5 0.5 1.0 1.5
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