find-the-volume-of-the-solid-formed-by-rotating-the-area-trapped-by-y-sin-x-and-the-x-axis-around-the-line-y-3-for-0-lt-x-lt-pi-

Question Number 90446 by jagoll last updated on 23/Apr/20

find the volume of the solid

formed by rotating the area

trapped by y = \sin x and the

x - axis around the line y = 3

for 0 < x < π

Commented by john santu last updated on 23/Apr/20

v o l = π \underset{0}{\int^{π}} V {(x)}^{2} - v {(x)}^{2} d x

= π \underset{0}{\int^{π}} 3^{2} - {(3 - \sin x)}^{2} d x

= π \underset{0}{\int^{π}} 6 \sin x - \sin^{2} x d x

= π \underset{0}{\int^{π}} (6 \sin x - \frac{1}{2} + \frac{1}{2} \cos 2 x) d x

n o w e a s y t o s o l v e

Commented by jagoll last updated on 23/Apr/20

thank you sir

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