Find the area of the surface obtained by rotating the curve y = 2x 223 from x = 0 to x 2 about the -axis.
Find the area of the surface obtained by rotating the curve y = 2x 223 from x = 0 to x 2 about the -axis.
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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Question
12
![Find the area of the surface obtained by rotating the curve \( y = 2x^3 \) from \( x = 0 \) to \( x = 2 \) about the \( x \)-axis.
Enter your answer in terms of \(\pi\) or round to 4 decimal places.
[Answer Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e916346-eb1f-468f-a417-f3db3524f0d2%2Fac6376de-25e8-4356-88c5-cb2a0c253be8%2Fthp3vn_processed.png&w=3840&q=75)
Transcribed Image Text:Find the area of the surface obtained by rotating the curve \( y = 2x^3 \) from \( x = 0 \) to \( x = 2 \) about the \( x \)-axis.
Enter your answer in terms of \(\pi\) or round to 4 decimal places.
[Answer Box]
Expert Solution

Step 1
HERE THE LIMITS OF INTEGRATION IS 0 to 2.
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