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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 ingral using partia decomposition.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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From $\"\"$ , substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ 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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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Find the value of $\"\"$ .

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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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$\"\"$

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$\"\"$

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$\"\"$ .

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