$\"\"$

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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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$\"\"$

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$\"\"$ .

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Graph the curves $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph:

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The intersection region is $\"\"$ .

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The required area is symmetric about $\"\"$ -axis.

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And it is four times the area of the region in $\"\"$ .

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$\"\"$

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The area of curve $\"\"$ .

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

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So, the difference between first curve and second curve.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ . $\"\"$

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The area is $\"\"$ .