$\"\"$

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

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Graph :

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Graph the equations $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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Shade the region required.

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$\"\"$

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Area of the region is $\"\"$ .

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Find the integral using integration by parts.

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Formula for integration by parts: $\"\"$ .

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Here $\"\"$ and $\"\"$ .

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Consider $\"\"$ .

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Apply derivative on each side.

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$\"\"$ .

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Consider $\"\"$ .

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Apply integral on each side.

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$\"\"$

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$\"\"$

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Substitute corresponding values in integration by parts formula.

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$\"\"$

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$\"\"$

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Area of the region is $\"\"$ sq.units. $\"\"$

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Area of the region is $\"\"$ sq.units.