$\"\"$

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

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

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Find $\"\"$ .

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The function is $\"\"$ .

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Differentiate the function with respect to $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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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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Consider $\"\"$ .

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Partial fraction decoposition.

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$\"\"$

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Compare $\"\"$ terms.

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$\"\"$

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Compare constant terms.

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$\"\"$

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$\"\"$ .

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$\"\"$

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Substitute $\"\"$ in equation (1).

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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