Step 1:

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The curve is $\"\"$ .

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Arc length:

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If the curve has the vector equation $\"\"$ , then arc length of the curve is defined as,

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$\"\"$ , where $\"\"$

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Here $\"\"$ , $\"\"$ .

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$\"\"$

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Differentiate with respect to $\"\"$ on each side .

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$\"\"$

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$\"\"$

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Differentiate with respect to $\"\"$ on each side .

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$\"\"$

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$\"\"$

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Differentiate with respect to $\"\"$ on each side .

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$\"\"$

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Substitute $\"\"$ values in $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and limits of the integral in the arc length formula.

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$\"\"$

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Solution:

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Arc length of the curve $\"\"$ is $\"\"$ .