$\"\"$

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The curve is $\"\"$ on interval $\"\"$ .

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Definition of the arc length:

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If the curve $\"\"$ , $\"\"$ , then the length of the curve is defined as,

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$\"\"$ .

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Find $\"\"$ .

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Consider $\"\"$ .

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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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$\"\"$

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Arc length of the curve $\"\"$ :

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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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$\"\"$

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$\"\"$

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$\"\"$ .

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Finally multiply by $\"\"$ to get the total area $\"\"$ .

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$\"\"$

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$\"\"$ .