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Step 1:

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The function are $\"\"$ and $\"\"$ and $\"\"$

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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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Step 2:

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The centroid is $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in above equation.

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$\"\"$

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Step 3:

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in above equation.

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$\"\"$ .

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$\"\"$

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

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Solution :

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