Step 1:

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The curves are $\"\"$ and $\"\"$ .

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Find the intersection points by equating the two curves.

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$\"\"$

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The area of curve $\"\"$ . $\"\"$

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The intersection points are the limits of the integration.

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The area lies between $\"\"$ to $\"\"$ .

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Required area is inside the first curve and out side the second curve.

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So, $\"\"$ .

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$\"\"$

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$\"\"$

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The curves are symmetric about horizontal axis $\"\"$ , so the area,

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$\"\"$

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$\"\"$

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Apply sum and difference formula in integration $\"\"$ .

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$\"\"$

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Apply sum and difference formula in integration $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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The area $\"\"$ square units.

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Solution:

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The area is $\"\"$ square units.