$\"\"$

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

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Graph :

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Graph the functions $\"image\"$ :

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$\"image\"$

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Observe the graph :

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The area of the region bounded by the curves is $\"\"$ .

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

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$\"\"$

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Find the centroid $\"\"$ .

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$\"\"$ .

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

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$\"\"$

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Power rule of integral: $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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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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Power rule of integral: $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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

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$\"\"$

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