$\"\"$

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The equation is $\"\"$ and $\"\"$ .

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The Formula for area of the lamina : $\"\"$ .

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Apply Integration :

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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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Moment about $\"\"$ - axis $\"\"$ of a planar lamina is defined as,

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$\"\"$ .

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Where, $\"\"$ is Uniform density of a planar lamina.

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Here $\"\"$ value varies form $\"\"$ to $\"\"$ , so $\"\"$ and $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and limits of integral in the above formula.

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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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Moment about $\"\"$ - axis $\"\"$ of a planar lamina is defined as,

\

$\"\"$

\

Where, $\"\"$ is Uniform density of a planar lamina.

\

Here $\"\"$ value varies form $\"\"$ to $\"\"$ , so $\"\"$ and $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and limits of integral in the above formula.

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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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Area is enclosed by the region is $\"\"$ .

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Moments about axis are $\"\"$ and $\"\"$ .