Multivariable calculus: what doe x stand for in this formula?
http://mathworld.wolfram.com/FunctionCentroid.html
just the regular x, before f(x)dx
http://mathworld.wolfram.com/FunctionCentroid.html
just the regular x, before f(x)dx
Raffaele
Favorite Answer
suppose you want to find the centroid of sin x on [0,π/2]
you have to calculate the integral of
x (sin x) dx on [0,π/2]
over the integral of
(sin x)dx on [0,π/2], which is 1
∫(x sin x)dx on [0,π/2], which still is 1
so function centroid of sin x on [0,π/2] is x = 1