Use the following integral. [x² Find the volume of the solid generated by revolving each plane region about the y-axis. (i) x sin(x) dx = sin(x) - x cos(x) + C (ii) y 0.5- -/4 22765 8- y S 4- 3- نیا 2- 1- /4 π/2 y=9 sin(x) y = -sin(x) X 37/4 y=sin(x)

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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7.3
▬
Use the following integral.
√x sin(x
Find the volume of the solid generated by revolving each plane region about the y-axis.
(1)
x sin(x) dx = sin(x) x cos(x) + C
(ii)
Q Search
y 0.5-
NIPS HDMI
-4
7
6-
4
Show My Work (Optional) ?
1-
π/4 π/2
y=9 sin(x)
y = -sin(x)
X
3π/4
y=sin(x)
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Transcribed Image Text:▬ Use the following integral. √x sin(x Find the volume of the solid generated by revolving each plane region about the y-axis. (1) x sin(x) dx = sin(x) x cos(x) + C (ii) Q Search y 0.5- NIPS HDMI -4 7 6- 4 Show My Work (Optional) ? 1- π/4 π/2 y=9 sin(x) y = -sin(x) X 3π/4 y=sin(x) binder clips pinces relieuses
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