# Thread: Centroid of a Region

1. ## Centroid of a Region

Consider the region bounded x=1, x=10, y=1/x, y=1/2x

How do I find the centroid of this region?

Area = integral from [1,10] of (1/x - 1/2x)dx

x(bar) = 1/A integral from [1,10] (x(1/x-1/2x))dx?

2. Originally Posted by khuezy
Consider the region bounded x=1, x=10, y=1/x, y=1/2x

How do I find the centroid of this region?

Area = integral from [1,10] of (1/x - 1/2x)dx

x(bar) = 1/A integral from [1,10] (x(1/x-1/2x))dx?
Yes.

Do you know how to get y(bar)?