$\"\"$

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(a) Need to verify $\"\"$ .

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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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Therefore, $\"\"$ .

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$\"\"$

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(b)

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The integral is $\"\"$ .

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Let $\"\"$ .

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

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$\"\"$

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$\"\"$

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$\"\"$ .

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If $\"\"$ , then $\"\"$ .

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If $\"\"$ , then $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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Apply limits: $\"\"$ to $\"\"$ .

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$\"\"$

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$\"\"$

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From part (a), $\"\"$ .

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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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(a) $\"\"$ .

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(b) $\"\"$ .