$\"\"$

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The curve is $\"\"$ and $\"\"$ ; $\"\"$

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Find $\"\"$ .

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$\"\"$

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

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$\"\"$

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$\"\"$

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$\"\"$

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Find $\"\"$ .

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$\"\"$

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

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$\"\"$

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$\"\"$

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Find $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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If the curve is described by $\"\"$ and $\"\"$ and $\"\"$ then,the length of the curve is,

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$\"\"$

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$\"\"$

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Substitute $\"\"$ , $\"\"$ and limits of $\"\"$ in above expression.

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$\"\"$

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$\"\"$

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$\"\"$

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Trigonometric identity: $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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Let $\"\"$ .

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

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$\"\"$

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in the above equation.

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$\"\"$

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Trigonometric identity: $\"\"$ .

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$\"\"$

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$\"\"$

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Integral formula: $\"\"$ .

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$\"\"$

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Integral formula: $\"\"$ . $\"\"$

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

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$\"\"$

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The exact length of the curve is $\"\"$ units.