Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given axis. y = cos(Tx/4), y = 0, 0 sxs 2; about the y-axis

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Could you help me with this 7.1 integration by parts problem?

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given axis.
y = cos(Tx/4), y = 0, 0 sxs 2; about the y-axis
Transcribed Image Text:Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given axis. y = cos(Tx/4), y = 0, 0 sxs 2; about the y-axis
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Step 1

Consider the provided question,

According to the given function the graph is drawn as,

Advanced Math homework question answer, step 1, image 1

Step 2

The volume of the shaded region rotation about y-axis is find as,

Advanced Math homework question answer, step 2, image 1

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