$\"\"$

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The equation of ellipse is $\"\"$ .

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$\"\"$

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$\"\"$

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Area $\"\"$ .

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$\"\"$

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Let $\"\"$ then $\"\"$ .

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When $\"\"$ then $\"\"$ .

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When $\"\"$ then $\"\"$

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Substitute corresponding values in the integral.

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$\"\"$

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$\"\"$

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Double angle formula : $\"\"$ .

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$\"\"$

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$\"\"$

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Area $\"\"$ .

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$\"\"$

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Area $\"\"$ .