$\"\"$

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The curves are $\"\"$ and $\"\"$ and the interval $\"\"$ .

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The centroid of the region is $\"\"$ .

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Where $\"\"$ and $\"\"$ .

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The area of the region is $\"\"$ .

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Upper curve is $\"\"$ .

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lower curve is $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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Find the centroid $\"\"$ :

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$\"\"$

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Apply integration by parts : $\"\"$

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Consider,

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$\"\"$

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And

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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The centroid of the region is $\"\"$ .