Which of the following integrals represents the area of the surface obtained by rotating the curve y = sin(x), 0≤x≤/2, about the x-axis? A. 2π * S² x/2 B. 2 R/2 x/2 sin²(x)√√/1 + (2 sin(x))² dx 1+ (2 sin(x) cos(x))² dx

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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Subject: calculus 

 

Which of the following integrals represents the area of the surface obtained by rotating
the curve y sin²(x), 0≤x≤ x/2, about the x-axis?
=
A. 2π
B. 2
C. 2
D. 2
S
F. 2
sin²(x)√1+ (2 sin(x))² dx
R/2
√x √/1+ (2 sin(x) cos(x))}² dx
R/2
"S
√ sin²(x) √/1 + (2 sin(x) cos(x))² dx
=
R/2
x√1 + 2 sin(x) cos(x) dx
*/2
E. 2
27. 1. 20 x1 + (sin(x) cos(x))² dx
*/2
[*** sin²(x) √/1 + (sin(x) cos(x))}³ dx
Transcribed Image Text:Which of the following integrals represents the area of the surface obtained by rotating the curve y sin²(x), 0≤x≤ x/2, about the x-axis? = A. 2π B. 2 C. 2 D. 2 S F. 2 sin²(x)√1+ (2 sin(x))² dx R/2 √x √/1+ (2 sin(x) cos(x))}² dx R/2 "S √ sin²(x) √/1 + (2 sin(x) cos(x))² dx = R/2 x√1 + 2 sin(x) cos(x) dx */2 E. 2 27. 1. 20 x1 + (sin(x) cos(x))² dx */2 [*** sin²(x) √/1 + (sin(x) cos(x))}³ dx
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