$\"\"$

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The function are $\"\"$ and $\"\"$ , $\"\"$ and $\"\"$ .

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Graph :

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Graph the functions $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ . :

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$\"\"$

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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 $\"\"$ .

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$\"\"$

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Find area of the region.

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$\"\"$

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$\"\"$ .

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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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Integral formula : $\"\"$ .

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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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Integral formula : $\"\"$ .

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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 $\"\"$ .