$\"\"$

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The curve equation is $\"\"$ .

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The starting point is $\"\"$ .

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Length of the curve $\"\"$ on the interval $\"\"$ is $\"\"$ .

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$\"\"$

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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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Length of the curve is $\"\"$ .

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Substitute $\"\"$ .

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Integrate between $\"\"$ to $\"\"$ .

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$\"\"$

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$\"\"$

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

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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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$\"\"$

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ .