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$\"\"$ .

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Graph the region:

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$\"\"$

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

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Solve the integral $\"\"$ using parts of integration.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Apply integral on each side.

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$\"\"$

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$\"\"$ .

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Substitute the corresponding values in $\"\"$ .

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$\"\"$

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$\"\"$ .

\

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Apply L-Hopitals rule.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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