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
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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]
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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