Consider the region R enclosed by all of the curves y = sinx, y = cos x, x = π/2, and x = π. Which of the following expressions DOES NOT compute the volume of the solid obtained by rotation R around the y-axis? ** 272 (sin r — cos x) da [₁π (7² - (cos-¹(y))²) dy + - S. ²7 π ((s ((sin`¹ (y))²-7²) dy ₁7 ((sin-¹({3))² – (cos-¹(3)²) dy 2m2 (sin a) dz + ₁ = ((sin=-¹(y))² - ) dy dx 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the region R enclosed by all of the curves y = sin x, y = cos x, x = π/2, and x =
Which of the following expressions DOES NOT compute the volume of the solid obtained by rotation R around
the y-axis?
of 2πx (sin x - cos x) dx
[₁7 (7² − (cos¯¹(y))}²) dy + +6² ¹7 ((sin¯¹(y))²-7²) dy
[₁7 ((sin¯¹(3))² – (cos¯¹(3))²) dy
π
-
-
[*"* 2m² (sin x) dz + " x ((sin-¹ (9))² – +) dy
4
4
Transcribed Image Text:Consider the region R enclosed by all of the curves y = sin x, y = cos x, x = π/2, and x = Which of the following expressions DOES NOT compute the volume of the solid obtained by rotation R around the y-axis? of 2πx (sin x - cos x) dx [₁7 (7² − (cos¯¹(y))}²) dy + +6² ¹7 ((sin¯¹(y))²-7²) dy [₁7 ((sin¯¹(3))² – (cos¯¹(3))²) dy π - - [*"* 2m² (sin x) dz + " x ((sin-¹ (9))² – +) dy 4 4
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