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

Graph :

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

Shade the region required.

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

Find the integral using integration by parts.

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

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

Consider $\"\"$ .

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

Consider $\"\"$ .

Apply integral on each side.

$\"\"$

Substitute corresponding values in integration by parts formula.

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

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