What Is the Correct Approach to Find the Centroid of a Parabolic Area?

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To find the centroid of a parabolic area, the correct approach involves setting up the integral accurately, particularly for the x centroid. The user expressed confusion over their calculations, specifically regarding the integral setup and the relationship between the curve's parameters. After some discussion, they resolved their issue and successfully determined the centroid's coordinates. The key takeaway is the importance of correctly establishing the area differential and understanding the relationships within the curve. The conversation highlights common challenges in solving centroid problems for parabolic shapes.
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[SOLVED] Centroid Parabolic area

Homework Statement


http://img227.imageshack.us/img227/7518/slowge9.th.jpg
Find the centroid of the area.

Homework Equations


The Attempt at a Solution



I'm not quite sure what I'm screwing up on this problem, I can do other problems like when y = x^2. I have only shown my work for the x centroid, but I can't seem to get the answer (3/8b). Does anyone see where I messed up, I assume it's somewhere in the integral setup. I think dA = h-y dx is correct.
 
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The point (b,h) lies on the curve. Doesn't that suggest something, like a relationship between them, which you can put in the answer?
 
Thanks for your reply, I figured it out
 
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