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Finding a centroid

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1. Homework Statement

I need to locate the centroid of the shaded area, in my picture. The shaded area is under the line(in between the x-axis and the curve.)

The curve is y=sqrt(x) And stretches a length from the y axis(0,0), along the x axis, a length of b.

This is a new concept, so I'm not really familiar with how to do these. It will probably take some walking through, for me to understand it.

2. Homework Equations

A = Int(dA)....not sure how to use integral, so will just use int.

X = int(xdA)

3. The Attempt at a Solution

I'm not sure how to find dA. I think I need to take a slice(or maybe 2) of the curved area. I'm not sure how to come up with those equations.

View attachment problem 5.bmp
 

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