Dido525
Find the centroid of the area:



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Dido525
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Dido525
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dw:1353879322184:dw

Dido525
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I got 5/9 as my answer which isn't right...

CliffSedge
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Yeah, 5/9 is way too big. Do you only need xbar and not ybar?

Dido525
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Only x bar.

Dido525
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So apparently the correct answer is 0.278 but I dont see how...

CliffSedge
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Is this what you started with?
\[\huge xbar=\frac{\int x^{5/4} dx}{\int x^{1/4} dx} \]

Dido525
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Yep.

Dido525
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The limits of integration are from 0 to 1 I believe.

CliffSedge
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Hmm, seems to be something missing..

Dido525
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Well the curve on the top is technically y=1.

CliffSedge
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I think you need to switch x and y to find xbar and ybar. i.e. for xbar it is integral of y dA, and for ybar it is integral of x dA.
