Find an integral for the area of the surface generated by revolving the parametric curve about the x-axis: x = sin?t y = sin(2t) osts TT 2 2 T 2 sin(2t)v (cos²t)² + (2cos(2t))? dt sin(2t)/ (2cost)²+(2cos(2t))² dt |? sin(2t)v/ (2sintcost)? + (2cos(2t))? dt O 2n (7 sin?t/(2sintcost)? + (2cos(2t))? dt TT |E sin?t/(2cost)?+(2cos(2t))? dt |2 sin?ty (cos?t) + (2cos(2t))? dt None of these

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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Find an integral for the area of the
surface generated by revolving the
parametric curve about the x-axis:
x = sin?t
y = sin(2t)
osts
TT
2
/2 sin(2t)V (cos²t)² + (2cos(2t))? dt
sin(2t)v (2cost)? + (2cos(2t))² dt
|2 sin(2t)/ (2sintcost)? + (2cos(2t))? dt
O 2n ( sin't/(2sintcost)? + (2cos(2t))? dt
TT
| E sin?t/(2cost)?+(2cos(2t))? dt
2 sin?tv (cos?t)* + (2cos(2t))? dt
None of these
Transcribed Image Text:Find an integral for the area of the surface generated by revolving the parametric curve about the x-axis: x = sin?t y = sin(2t) osts TT 2 /2 sin(2t)V (cos²t)² + (2cos(2t))? dt sin(2t)v (2cost)? + (2cos(2t))² dt |2 sin(2t)/ (2sintcost)? + (2cos(2t))? dt O 2n ( sin't/(2sintcost)? + (2cos(2t))? dt TT | E sin?t/(2cost)?+(2cos(2t))? dt 2 sin?tv (cos?t)* + (2cos(2t))? dt None of these
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