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EDIT - Solved. Thank you.

Find the Centroid of the region bounded by the x-axis and [tex]\sqrt{9-x^2}[/tex]

So far, I found my Mx which ended up being 27p after applying this forumula:

My problem is when I go to find the mass so I can find the centroid and get my final answer. The equation to find the mass is:

m=p[tex]\int[/tex][f(x)-g(x)]dx

so when applying the formula to my problem, I get this:

m=p[tex]\int[/tex][tex]\sqrt{9-x^2}[/tex]

So really, it ends up being a simple integration stumble. I just can't figure out how to integrate this. I tried the substitution rule, but it didn't work out.

## Homework Statement

Find the Centroid of the region bounded by the x-axis and [tex]\sqrt{9-x^2}[/tex]

## Homework Equations

So far, I found my Mx which ended up being 27p after applying this forumula:

p[tex]\int[/tex]([tex]\frac{\sqrt{9-x^2}+0}{2}[/tex]) ([tex]\sqrt{9-x^2}[/tex]-0)dx

*My interval was [-3,3]## The Attempt at a Solution

My problem is when I go to find the mass so I can find the centroid and get my final answer. The equation to find the mass is:

m=p[tex]\int[/tex][f(x)-g(x)]dx

so when applying the formula to my problem, I get this:

m=p[tex]\int[/tex][tex]\sqrt{9-x^2}[/tex]

So really, it ends up being a simple integration stumble. I just can't figure out how to integrate this. I tried the substitution rule, but it didn't work out.

*Can someone point me in the right direction please?*
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