Find the centroid of the region bounded by the curve sin x on the interval (0, pi) and the x-axis.
Calculus - Mgraph, Thursday, May 12, 2011 at 9:36pm
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