Posted by **COFFEE** on Tuesday, June 26, 2007 at 12:21am.

Find the exact coordinates of the centroid given the curves: y = 1/x, y = 0, x = 1, x = 2.

X = 1/Area*Integral from a to b: x*f(x)dx

Y = 1/Area*Integral from a to b: [(1/2)*(f(x))^2]dx

How do I find the area for this? Once I know that, is this the correct set up?

X = 1/Area*Integral from 1 to 2: [x*(1/x)]dx

X = 1/Area*[x] evaluated at 1 and 2

Y = 1/Area*Integral from 1 to 2:

[(1/2)*(1/x)^2]dx

Y = 1/Area*[(-1/x] evaluated at 1 and 2.

Thanks.

area= INT y dx =INT dx/x= ln x from 1,2

yES, Those are the correct equations for the first moment.

Ok, thanks for checking and for helping.

## Answer this Question

## Related Questions

- Calculus - Find the exact coordinates of the centroid. y = sqrt[x], y = 0, x = 9...
- calculus - Find the specified coordinates of the centroid of the area bounded by...
- calculus - could some body please check this for me? 1. find the exact ...
- Calculus - Find the exact coordinates of the centroid. y = sqrt[x], y = 0, x = 9...
- Calculus - Find the exact coordinates of the centroid. y = sqrt[x], y = 0, x = 9...
- calc check - <<y=(1/A)*integral from a to b of: (1/2)[f(x)]^2 dx >> ...
- Calculus - Can someone look over my work and tell me if my steps look correct? I...
- Calculus - *Note I reposted this question as I changed the subject** The Region...
- Calculus: Area - Can someone look at my work and see what i did wrong. I did ...
- Calculus - Find the volume of the solid whose base is the region in the xy-plane...