$\"\"$

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(a) The formula is $\"\"$ .

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Consider $\"\"$ .

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Apply Parts of integration formula: $\"\"$ .

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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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Substitute corresponding values in $\"\"$ .

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$\"\"$

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

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Consider $\"\"$ .

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Partial decomposition of $\"\"$ .

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$\"\"$

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$\"\"$

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Evaluate $\"\"$ using substitution method.

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Let $\"\"$ .

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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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Substitute $\"\"$ .

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$\"\"$ .

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

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Substitute $\"\"$ $\"\"$ in equation $\"\"$ .

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$\"\"$ $\"\"$

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$\"\"$ .

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Therefore, $\"\"$ .

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$\"\"$

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(b)

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Observe the graph:

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The limits are $\"\"$ .

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

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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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Area is $\"\"$ .

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$\"\"$

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(a) $\"\"$ .

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(b) Area is $\"\"$ .