Asked by AJ

Find the centroid of the region bounded by the curve sin x on the interval (0, pi) and the x-axis.

Please help

Answers

Answered by Mgraph
Let C(x,y)-centroid. Obviously, x=pi/2
The area of the region=2
y=(1/2)(1/2)(integral from 0 to pi) sin^2(x)dx=pi/8
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