The given curve is rotated about the y-axis. Set up, but do not evaluate, an integral for the area of the resulting surface by integrating (a) with respect to x and (b) with respect to y. y=9+ sin(x), 0≤x≤ (a) Integrate with respect to x. dx (b) Integrate with respect to y. dy

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 26E: Find the area between the curves in Exercises 1-28. x=0, x=/4, y=sec2x, y=sin2x
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The given curve is rotated about the y-axis. Set up, but do not evaluate, an integral for the area of the resulting surface by integrating (a) with respect to x and (b) with respect to y.
y = 9+ sin(x), 05 x ≤ 1/2
(a) Integrate with respect to x.
dx
(b) Integrate with respect to y.
dy
Transcribed Image Text:The given curve is rotated about the y-axis. Set up, but do not evaluate, an integral for the area of the resulting surface by integrating (a) with respect to x and (b) with respect to y. y = 9+ sin(x), 05 x ≤ 1/2 (a) Integrate with respect to x. dx (b) Integrate with respect to y. dy
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