$\"\"$

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The curve is $\"\"$ and $\"\"$ .

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The interval is $\"\"$ .

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Find $\"\"$ .

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Consider $\"\"$ .

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

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Product rule of derivative: $\"\"$

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$\"\"$

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Find $\"\"$ :

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Consider $\"\"$ .

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

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Product rule of derivative: $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Use the formulas :

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$\"\"$

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$\"\"$

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From the trignometric identity :

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$\"\"$ .

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$\"\"$

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Apply the above identities :

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$\"\"$

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From the reduction formula : $\"\"$

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$\"\"$

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$\"\"$

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From the formula : $\"\"$ .

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$\"\"$

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$\"\"$

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Now find the length of the curve :

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$\"\"$ .

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Where $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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The value of $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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The exavt length of the curve is $\"\"$ .